• Anales de Mecánica de Fractura (2000). Vol. 17, pp. 127-154

    Abstract
    El artículo es una panorámica de los aspectos teóricos y algunas aplicaciones prácticas de los modelos de fractura desarrollados por diversos grupos [...]

  • J. García-Espinosa, E. Oñate, J. Helmers, M. Chakkor
    Revista de Ingeniería Naval (2004). Vol. 814, pp. 104-108

    Abstract
    In the present work a novel approach has been developed for the resolution of this problem of analysis of the movement of roll of a ship. The methodology used for this is [...]

  • Comput. Methods Appl. Mech. Engrg., (2017). Vol. 326, pp. 422-445

    Abstract
    In this paper we propose a Finite Element model for analyzing closed membranes (“bags”) interacting with internal and external (surrounding) fluids. The approach [...]

  • P. Arnau, N. Navarro, J. Soraluce, J. Martínez-Iglesias, J. Illas, E. Oñate
    Water (2019). Vol. 11 (11), 16 pp.

    Abstract
    Cool steam is an innovative distillation technology based on low-temperature thermal distillation (LTTD), which allows obtaining fresh water from non-safe water sources with [...]

  • Comput. Methods Appl. Mech. Engrg., (2017). Vol. 325, pp. 711-732

    Abstract
    The aim of this paper is to present a Lagrangian formulation for thermo-coupled fluid–structure interaction (FSI) problems and to show its applicability [...]

  • J. Cotela-Dalmau, R. Rossi, E. Oñate
    Comput. Methods Appl. Mech. Engrg., (2017). (preprint) Vol. 315, pp. 607-631

    Abstract
    We present a new stabilized finite element (FEM) formulation for incompressible flows based on the Finite Increment Calculus (FIC) framework (Oñate, [...]

  • C. Bouchart, W. Kanok-Nukulschai, E. Ortega, E. Oñate
    International Journal of Computational Methods (2014). Vol. 11 (1), 27 pp., Paper N: 1350047

    Abstract
    In this paper, "finite point method" (FPM) is presented for modeling 2D shallow water flow problem. The method is based on the use of a weighted least-square approximation [...]

  • Ingeniería Naval (2013). Vol. 1 (920), pp. 68-91

    Abstract
    El “Innovative Naval Prototype Transformable Craft” (T-Craft) es un nuevo concepto de buque desarrollado por la marina de los Estados Unidos de América [...]

  • Computer Assisted Methods in Engineering and Sciences (2013). Vol. 20 (3), pp. 165-184

    Abstract
    A computational procedure for analysis of the melting, burning and flame spread of polymers under fire conditions is presented. The method, termed particle finite element [...]

  • Journal of Hydraulic Research (2013). (preprint) Vol. 51 (3), pp. 244-252

    Abstract
    The paper focuses on the analysis of radial-gated spillways, which is carried out by the solution of a numerical model based on the finite element method (FEM). The Oliana [...]

  • M. Kleiber, E. Oñate
    Archives of Comp. Meths. Engng. (2009). Vol. 16, pp. 465

  • Int. J. Simul. Multidisci. Des. Optim. (2009). Vol. 3 (3), pp. 363-369

    Abstract
    This work analyzes the influence of the discretization error contained in the Finite Element (FE) analyses of each design configuration proposed by structural shape optimization [...]

  • Computational Mechanics (2006). Vol. 6, pp. 41-62

    Abstract
    We present a general formulation for analysis of fluid-structure interaction problems using the particle finite element method (PFEM). The key feature of the PFEM is the use [...]

  • A. Agüero, F. Pallarés, E. Oñate
    Int. J. Computational Methods in Engineering Science and Mechanics (2006). Vol. 7 (3), pp. 209-215

    Abstract
    In this paper the ability of the basic shell triangular (BST) element to perform linearized buckling analysis is evaluated. The results have been compared with analytical [...]

  • C. Recarey Morfa, E. Oñate, J. Canet, J. Rojek, F. Zarate, S. Burrel
    Ingeniería Civil (2006). Vol. 141, pp. 19-34

    Abstract
    Se presenta un modelo numérico que emplea elementos discretos esféricos o también denominados elementos distintos. Este modelo se aplica en la simulación [...]

  • Col·lecció Aula de Ciència i Cultura (2002). Nº 13, pp. 9-33

    Abstract
    Se presentan en el artículo las ideas básicas de qué son los métodos numéricos, cuáles son los métodos numéricos más [...]

  • International Journal of Plasticity (2001). Vol. 17 (11), pp. 1437-1463

    Abstract
    In this work a generalized anisotropic model in large strains based on the classical isotropic plasticity theory is presented. The anisotropic theory is based on the concept [...]

  • M. López-Rodríguez, J. García-Espinosa, E. Oñate
    Ingeniería Naval (2001). Vol. 784, pp. 122-130

    Abstract
    En la actualidad las más avanzadas técnicas para diseño naval ya no se restringen sólo a proyectos de alto coste; si no que también ahora [...]

  • B. Suarez, E. Blanco, L. Gil, P. Zapata, E. Oñate
    European Journal of Engineering Education (1998). Vol. 23 (2), pp. 243-254

    Abstract
    In this paper, a methodology for computer-aided training of structural problems by the finite element method is presented. The resulting educational program, named ED-Elas2D, [...]

  • Journal of Physique IV (1993). Vol. 3 (C7), pp. 1171-1180

    Abstract
    This paper summarizes the recent work of the authors in the numerical simulation of casting processes. In particular, a coupled thermomechanical model to simulate the solidification [...]

  • J. Oliver, E. Oñate, J. Peraire, R. Chueca
    Hormigón y Acero (1985). Vol. 155, pp. 99-123

  • J. Middleton, E. Oñate
    ETSIIT (1977). Vol. 11, pp. 309-325

    Abstract
    Se presenta un esquema de diseño para vasijas de presión metálicas de manera que se minimice la tensión tangencial en la vasija . La geometría [...]

  • H. Garikapati, S. Zlotnik, C. Verhoosel, E. Brummelen, P. Diez
    Computational Mechanics (2019). (Preprint) pp. 1-23

    Abstract
    Understanding the failure of brittle heterogeneous materials is essential in many applications. Heterogeneities in material properties are frequently modeled through random [...]

  • Comput. Methods Appl. Mech. Engrg., (2019). (Preprint) Vol. 120, pp. 391-432

    Abstract
    The paper presents a novel strategy providing fully computable upper bounds for the energy norm of the error in the context of three‐dimensional linear finite element approximations [...]

  • H. Garikapati, C. Verhoosel, E. Brummelen, S. Zlotnik, P. Diez
    Computational Geosciences (2019). (Preprint) Vol. 23 (1), pp. 81-105

    Abstract
    Hydraulic fracturing processes are surrounded by uncertainty, as available data is typically scant. In this work, we present a sampling-based stochastic analysis of the hydraulic [...]

  • R. García-Blanco, P. Diez, D. Borzacchiello, F. Chinesta
    Archives of Comp. Meths. Engng. (2018). (Preprint) Vol. 25 (4), pp. 1003-1026

    Abstract
    The power flow model performs the analysis of electric distribution and transmission systems. With this statement at hand, in this work we present a summary of those solvers [...]

  • P. Diez, S. Zlotnik, A. García-González, A. Huerta
    Comptes Rendus Mécanique (2018). (Preprint) Vol. 346 (7), pp. 501-514

    Abstract
    Proper Generalized Decomposition (PGD) is devised as a computational method to solve high-dimensional boundary value problems (where many dimensions are associated [...]

  • D. Dorribo, L. Greve, P. Diez, I. Arias, X. Larráyoz-Izcara
    Theoretical and Applied Fracture Mechanics (2018). (Preprint) Vol. 96, pp. 497-508

    Abstract
    Predicting the bearing capacity of resistance spot welds (RSW) during vehicle crash tests has become a crucial task for the automotive industry, since the recent introduction [...]

  • X. Zou, M. Conti, P. Diez, F. Auricchio
    Int. J. Numer. Meth. Engng. (2018). (Preprint) Vol. 113 (2), pp. 230-251

    Abstract
    Proper generalized decomposition (PGD) is often used for multi-query and fast-response simulations. It is a powerful tool alleviating the curse of dimensionality affecting [...]

  • A. Sibileau, A. García-González, F. Auricchio, S. Morganti, P. Diez
    Computational Mechanics (2018). (Preprint) Vol. 62 (4), pp. 871-891

    Abstract
    Architectured materials (or metamaterials) are constituted by a unit-cell with a complex structural design repeated periodically forming a bulk material with emergent mechanical [...]

  • B. Oliveira, J. Afonso, S. Zlotnik, P. Diez
    Geophysical Journal International (2018). (Preprint) Vol. 212 (1), pp. 345-388

    Abstract
    We present a conceptual and numerical approach to model processes in the Earth’s interior that involve multiple phases that simultaneously interact thermally, mechanically [...]

  • P. Diez, S. Zlotnik, A. Huerta
    Comput. Methods Appl. Mech. Engrg. (2017). (Preprint) Vol. 326, pp. 223-240

    Abstract
    Design optimization and uncertainty quantification, among other applications of industrial interest, require fast or multiple queries of some parametric model. The Proper [...]

  • R. Hospital-Bravo, J. Sarrate, P. Diez
    Comput. Methods Appl. Mech. Engrg., (2017). (Preprint) Vol. 111 (8), pp. 703-723

    Abstract
    This paper details a semi‐analytical procedure to efficiently integrate the product of a smooth function and a complex exponential over tetrahedral elements. These highly [...]

  • R. García-Blanco, D. Borzacchiello, F. Chinesta, P. Diez
    Int. J. Numer. Meth. Engng. (2017). Vol. 111 (6), pp. 529-552

    Abstract
    The parametric analysis of electric grids requires carrying out a large number of Power Flow computations. The different parameters describe loading conditions and grid properties. [...]

  • K. Serafin, B. Magnain, E. Florentin, N. Parés, P. Diez
    Int. J. Numer. Meth. Engng. (2017). (Preprint) Vol. 110 (5), pp. 440-466

    Abstract
    This work focuses on providing accurate low-cost approximations of stochastic finite elements simulations in the framework of linear elasticity. In [E. Florentin, P. Diez, [...]

  • M. Signorini, S. Zlotnik, P. Diez
    Int. J. Numer. Meth. Engng. (2017). (Preprint) Vol. 109, (8), pp. 1085-1102

    Abstract
    The identification of the geological structure from seismic data is formulated as an inverse problem. The properties and the shape of the rock formations in the subsoil are [...]

  • Comput. Methods Appl. Mech. Engrg., (2017). (Preprint) Vol. 313 (1), pp. 785-816

    Abstract
    This paper presents a new methodology to compute guaranteed upper bounds for the energy norm of the error in the context of linear finite element approximations of the reaction-diffusion [...]

  • R. García-Blanco, P. Diez, D. Borzacchiello, F. Chinesta
    International Energy Conference (ENERGYCON) (2016). (preprint) pp, 1-6

    Abstract
    This paper presents an “offline-online” strategy for optimal allocation and sizing of Distributed Generation. In traditional optimization approaches, each function [...]

  • F. Chinesta, P. Diez, D. Borzacchiello, M. Malik, R. García-Blanco
    Electric Power Systems Research (2016). (Preprint) Vol. 140, pp. 201-208

    Abstract
    This paper illustrates the construction of a new class of iterative solvers for power flow calculations based on the method of Alternating Search Directions. This method is [...]

  • R. Hospital-Bravo, J. Sarrate, P. Diez
    Computational Mechanics (2016). (Preprint) Vol. 57 (5), pp. 717-732

    Abstract
    A new 2D numerical model to predict the underwater acoustic propagation is obtained by exploring the potential of the Partition of Unity Method (PUM) enriched with plane waves. [...]

  • L. Steffens, P. Diez, M. Alves
    Tendências em Matemática Aplicada e Computacional (2016). (preprint) Vol. 17 (1), pp. 35-53

    Abstract
    O objetivo deste artigo é estudar a eficiência e a robustez de técnicas adaptativas e estimativas de erro orientadas por metas para um benchmark test. [...]

  • I. Alfaro, D. Gonzalez, S. Zlotnik, P. Diez, E. Cueto, F. Chinesta
    Adv. Model. and Simul. in Eng. Sci. (2015). Vol. 2 (1), pp. 1-30

    Abstract
    Model order reduction (MOR) is one of the most appealing choices for real-time simulation of non-linear solids. In this work a method is presented in which real time performance [...]

  • S. Zlotnik, P. Diez, D. Gonzalez, E. Cueto, A. Huerta
    Adv. Model. and Simul. in Eng. Sci. (2015). Vol. 2, art. 28

    Abstract
    The Proper Generalized Decomposition (PGD) requires separability of the input data (e.g. physical properties, source term, boundary conditions, initial state). In many cases [...]

  • E. Nadal Soriano, F. Chinesta, P. Diez, F. Fuenmayor, F. Denia
    Comput. Methods Appl. Mech. Engrg., (2015). (preprint) Vol. 296 (1), pp. 113-128

    Abstract
    Some industrial processes are modelled by parametric partial differential equations. Integrating computational modelling and data assimilation into the control process [...]

  • J. Alfonso, S. Zlotnik, P. Diez
    Geochmistry, geophysics, geosystems (2015). (preprint) Vol. 16 (10), pp. 3767-3777

    Abstract
    We present a flexible, general, and efficient approach for implementing thermodynamic phase equilibria information (in the form of sets of physical parameters) into geophysical [...]

  • Computational Mechanics (2015). (preprint) Vol. 56 (4), pp. 601-612

    Abstract
    We present an r-adaptivity approach for boundary value problems with randomly fluctuating material parameters solved through the Monte Carlo or stochastic collocation [...]

  • S. Zlotnik, P. Diez, D. Modesto, A. Huerta
    Int. J. Numer. Meth. Engng. (2015). (preprint) Vol. 103 (10), pp. 737-758

    Abstract
    The solution of a steady thermal multiphase problem is assumed to be dependent on a set of parameters describing the geometry of the domain, the internal interfaces and the [...]

  • E. Nadal Soriano, P. Diez, J. Ródenas, M. Tur, F. Fuenmayor
    Comput. Methods Appl. Mech. Engrg., (2015). (preprint) Vol. 287, pp. 172-190

    Abstract
    Significant research effort has been devoted to produce one-sided error estimates for Finite Element Analyses, in particular to provide upper bounds of the [...]

  • A. Ammar, F. Chinesta, P. Diez, A. Huerta
    Comput. Methods Appl. Mech. Engrg., (2010). Vol. 199 (25-28), pp. 1872-1880

    Abstract
    Fine modeling of the structure and mechanics of materials from the nanometric to the micrometric scales uses descriptions ranging from quantum to statistical mechanics. Most [...]

  • F. Verdugo, N. Parés, P. Diez
    Computational Mechanics (2014). Vol. 54 (2), pp. 331-352

    Abstract
    This article presents a space-time adaptive strategy for transient elastodynamics. The method aims at computing an optimal space-time discretization such that the computed [...]

  • F. Verdugo, N. Parés, P. Diez
    Archives of Comp. Meths. Engng. (2014). Vol. 21 (1), pp. 59-90

    Abstract
    This paper presents in a unified framework the most representative state-of-the-art techniques on a posteriori error assessment for second order hyperbolic problems, i.e., [...]

  • F. Verdugo, N. Parés, P. Diez
    Int. J. Numer. Meth. Engng. (2013). (preprint) Vol. 95 (8), pp. 685-720

    Abstract
    This article presents a new approach to assess the error in specific quantities of interest in the framework of linear elastodynamics. In particular, a new type of quantities [...]

  • P. Diez, R. Cottereau, S. Zlotnik
    Int. J. Numer. Meth. Engng. (2013). (Preprint) Vol. 96 (5), pp. 303-322

    Abstract
    When applied to diffusion problems in a multi‐phase setup, the popular extended finite element method (XFEM) strategy suffers from an inaccurate representation of the local [...]

  • V. Ivannikov, C. Tiago, J. Almeida, P. Díez
    Engineering Analysis with Boundary Elements (2013). Vol. 37 (12), pp. 1728-1744

    Abstract
    This paper presents a meshless implementation of dual analysis for 2D linear elasticity problems. The derivation of the governing systems of equations for the discretized [...]

  • L. Casadei, P. Diez, F. Verdugo
    Int. J. Computational Meths. (2013). (preprint) Vol. 10 (4), pp. 1-31

    Abstract
    A procedure to locally refine and un-refine an unstructured computational grid of four-node quadrilaterals (in 2D) or of eight-node hexahedra (in 3D) is presented. The chosen [...]

  • Int. J. Numer. Meth. Engng. (2013). Vol. 94 (13), pp. 1216-1232

    Abstract
    This work is a first attempt to address efficient stabilizations of high dimensional advection–diffusion models encountered in computational physics. When addressing [...]

  • N. Parés, P. Diez, A. Huerta
    Int. J. Numer. Meth. Engng. (2013). Vol. 93 (5), pp. 483-509

    Abstract
    The paper introduces a methodology to compute strict upper and lower bounds for linear-functional outputs of the exact solutions of the advection-reaction-diffusion equation. [...]

  • P. Diez, S. Zlotnik, R. Cottereau
    Oberwolfach Reports (2012). Vol. 9 (1), pp. 523-526

    Abstract
    The finite element method is the established simulation tool for the numerical solution of partial differential equations in many engineering problems with many mathematical [...]

  • F. Verdugo, P. Diez
    Comput. Methods Appl. Mech. Engrg., (2012). (preprint) Vol. 245-246, pp. 313-330

    Abstract
    This work presents a new technique yielding computable bounds of quantities of interest in the framework of linear visco-elastodynamics. A novel expression for the error representation [...]

  • E. Florentin, P. Diez
    Comput. Methods Appl. Mech. Engrg., (2012). (preprint) Vol. 225, pp. 116-127

    Abstract
    In the framework of stochastic non-intrusive finite element modeling, a common practice is using Monte Carlo simulation. The main drawback of this approach is the computational [...]

  • A. Pros, P. Diez, C. Molins
    Comput. Methods Appl. Mech. Engrg., (2012). (preprint) Vol. 90 (1), pp. 65-86

    Abstract
    Steel fiber reinforced concrete (SFRC) allows overcoming brittleness and weakness under tension, the main drawbacks of plain concrete. The influence of the fibers on the behavior [...]

  • L. Steffens, N. Parés, P. Diez
    Int. J. Numer. Meth. Engng. (2011). Vol. 86 (10), pp. 1197-1224

    Abstract
    An estimator for the error in the wave number is presented in the context of finite element approximations of the Helmholtz equation. The proposed estimate is an extension [...]

  • A. Pros, P. Diez, C. Molins
    Int. J. Solids and Structures (2011). Vol. 48 (7-8), pp. 1229-1238

    Abstract
    Double punch test is used to indirectly assess the tensile strength of plain concrete, ft. For this normalized test, the tensile strength is obtained as a function of the [...]

  • L. Steffens, N. Parés, P. Diez
    Computational Mechanics (2011). Vol. 47 (6), pp. 681-699

    Abstract
    This paper introduces a new goal-oriented adap- tive technique based on a simple and effective post-process of the finite element approximations. The goal-oriented character [...]

  • European Journal of Environmental and Civil Engineering (2011). Vol. 15 (8), pp. 1187-1206

    Abstract
    We present in this paper a numerical model of the erosion of a soil that accounts for both the flow in the open fluid and the flow of fluid through the porous soil. The interface [...]

  • R. Cottereau, L. Chamoin, P. Diez
    Mécanique & Industries (2010). Vol. 11 (3-4), pp. 249-254

    Abstract
    We discuss, in this paper, a common flux-free method for the computation of strict error bounds for linear and nonlinear Finite Element computations. In the linear case, the [...]

  • P. Diez, N. Parés, A. Huerta
    Encyclopedia of Aerospace Engineering (2010). Vol. 3 (15), pp. 1725-1734

    Abstract
    This chapter provides a description of the error assessment tools available for general finite element analysis, in particular those for solid and structural mechanics. The [...]

  • F. Larsson, P. Diez, A. Huerta
    Comput. Methods Appl. Mech. Engrg., (2010). Vol. 199 (37-40), pp. 2383-2402

    Abstract
    In this contribution, we present an a posteriori error estimator for the incom- pressible Stokes problem valid for a conventional mixed FE formulation. Due to the saddle-point [...]

  • R. Cottereau, P. Diez, A. Huerta
    Computational Mechanics (2010). Vol. 46 (2), pp. 315-327

    Abstract
    This paper builds on the flexibility of the level-set representation to model in a unified manner the expansion of a hollow in the ground under different physical phenomena. [...]

  • Comput. Methods Appl. Mech. Engrg., (2010). Vol. 199, pp. 2607-2621

    Abstract
    This paper introduces a recovery-type error estimator yielding upper bounds of the error in energy norm for linear elastic fracture mechanics problems solved using the extended [...]

  • D. Gonzalez, L. Debeugny, E. Cueto, F. Chinesta, P. Diez, A. Huerta
    Int. J. of Material Forming (2010). Vol. 3 (1), pp. 883-886

    Abstract
    We have developed a new method for the construction of Streamline Upwind Petrov Galerkin (SUPG) stabilization techniques for the resolution of convection-diffusion equations [...]

  • T. Pannachet, P. Diez, H. Askes, L. Sluys
    Comput. Methods Appl. Mech. Engrg., (2010). Vol. 199 (17-20), pp. 961-978

    Abstract
    This paper deals with the adaptive finite element analysis of structural failure. A gradient-enhanced damage model has been chosen to simulate material degradation. Since [...]

  • S. Zlotnik, P. Diez
    Commun. Numer. Meth. Engng (2010). Vol. 26 (6), pp. 760-769

    Abstract
    The assembly of sparse matrices is a key operation in finite element methods. In this study we analyze several factors that may have an influence on the efficiency of the [...]

  • N. Parés, H. Santos, P. Diez
    Int. J. Numer. Meth. Engng. (2009). Vol. 79 (10), pp. 1203-1244

    Abstract
    A method to compute guaranteed upper bounds for the energy norm of the exact error in the finite element solution of the Poisson equation is presented. The bounds are guaranteed [...]

  • N. Parés, P. Diez, A. Huerta
    Journal on Scientific Computing (SIAM) (2009). Vol. 31 (4), pp. 3064-3089

    Abstract
    The paper introduces a methodology to compute strict upper and lower bounds for linear-functional outputs of the exact solutions of the advection-reaction-diffusion equation. [...]

  • S. Zlotnik, P. Diez
    Comput. Methods Appl. Mech. Engrg., (2009). Vol. 198 (30-32), pp. 2329-2338

    Abstract
    The eXtended Finite Element Method (X-FEM) has been successfully used in two-phase flow problems involving a moving interface. In order to simulate problems involving more [...]

  • R. Cottereau, P. Diez, A. Huerta
    Computational Mechanics (2009). Vol. 44 (4), pp. 533-547

    Abstract
    We discuss, in this paper, a flux-free method for the computation of strict upper bounds of the energy norm of the error in a Finite Element (FE) computation. The bounds are [...]

  • L. Steffens, P. Diez
    Comput. Methods Appl. Mech. Engrg., (2009). Vol. 198 (15-16), pp. 1389-1400

    Abstract
    The standard approach for goal oriented error estimation and adaptivity uses an error representation via an adjoint problem, based on the linear functional output representing [...]

  • Y. Vidal, N. Parés, P. Diez, A. Huerta
    Int. J. Numer. Meth. Engng. (2008). Vol. 76 (11), pp. 1782-1818

    Abstract
    A novel approach for implicit residual-type error estimation in mesh-free methods and an adaptive refinement strategy are presented. This allows computing upper and lower [...]

  • S. Zlotnik, M. Fernández, P. Diez, J. Vergés
    Pure and Applied Geophysics (2008). Vol. 165 (8), pp. 1491-1510

    Abstract
    A non-standard new code to solve multiphase viscous thermo–mechanical problems applied to geophysics is presented. Two numerical methodologies employed in the code are [...]

  • S. Zlotnik, J. Alfonso, P. Diez, M. Fernández
    Philosophical Magazine (2008). Vol. 88 (28-29), pp. 3197-3217

    Abstract
    Sublithospheric small-scale convection (SSC) is thought to be responsible for the flattening of the seafloor depth and surface heat flow observed in mature plates. Although [...]

  • N. Parés, P. Diez, A. Huerta
    Comput. Methods Appl. Mech. Engrg., (2008). Vol. 197 (19-20), pp. 1641-1660

    Abstract
    Classical implicit residual type error estimators require using an underlying spatial finer mesh to compute bounds for some quantity of interest. Consequently, the bounds [...]

  • N. Parés, P. Diez, A. Huerta
    Comput. Methods Appl. Mech. Engrg., (2008). Vol. 197 (19-20), 1661-1679

    Abstract
    The paper introduces a methodology to compute upper and lower bounds for linear-functional outputs of the exact solutions of parabolic problems. In this second part, the bounds [...]

  • S. Zlotnik, P. Diez, M. Fernández, J. Vergés
    Comput. Methods Appl. Mech. Engrg., (2007). Vol. 196 (41-44), pp. 4283-4293

    Abstract
    The numerical modelling of plate subduction requires solving a coupled thermo-mechanical highly-nonlinear transient problem. The mechanical description of the phenomenon results [...]

  • P. Diez, J. Ródenas, O. Zienkiewicz
    Int. J. Numer. Meth. Engng. (2007). Vol. 69 (10), pp. 2075-2098

    Abstract
    This paper introduces a new recovery‐type error estimator ensuring local equilibrium and yielding a guaranteed upper bound of the error. The upper bound property requires [...]

  • P. Diez, G. Calderón
    Computational Mechanics (2007). Vol. 39 (5), pp. 631-646

    Abstract
    This work focuses on controlling the error and adapting the discretization in the context of parabolic problems. In order to obtain a sound mathematical framework, the time [...]

  • P. Diez, G. Calderón
    Comput. Methods Appl. Mech. Engrg., (2007). Vol. 196 (4-6), pp. 719-733

    Abstract
    A key ingredient in h-adaptivity pertains to the transformation of output data from a given error estimator into input data, usually in the form of an element-size distribution, [...]

  • N. Parés, P. Diez, A. Huerta
    Comput. Methods Appl. Mech. Engrg., (2006). Vol. 195 (4-6), pp. 297-323

    Abstract
    A new residual type flux-free error estimator is presented. It estimates upper and lower bounds of the error in energy norm. The proposed approach precludes the main drawbacks [...]

  • P. Diez, N. Parés, A. Huerta
    European Journal of Finite Elements (2004). Vol. 13 (5-7), pp. 497-507

    Abstract
    Two implicit residual type estimators yielding upper bounds of the error are presented which do not require flux equilibration. One of them is based on the ideas introduced [...]

  • S. Fernández-Méndez, P. Diez, A. Huerta
    Numerische Mathematik (2003). Vol. 96 (1), pp. 43-59

    Abstract
    A combined hierarchical approximation based on finite elements and mesh-less methods is proposed and studied. Finite Elements are enriched adding hierarchical shape functions [...]

  • Applied Numerical Letters (2003). Vol. 16 (8), pp. 1211-1215

    Abstract
    The secant method is one of the most popular methods for root finding. Standard text books in numerical analysis state that the secant method is super linear: the rate of [...]

  • P. Diez, I. Morata, A. Huerta
    European Journal of Finite Elements (2003). Vol. 12 (6), pp. 691-715

    Abstract
    The reliable computation of shell structures requires a tool to assess and control the quality of the finite element solution. For practical purposes, the quality of the numerical [...]

  • P. Diez, N. Parés, A. Huerta
    Int. J. Numer. Meth. Engng. (2003). Vol. 56 (10), pp. 1465-1488

    Abstract
    Classical residual type error estimators approximate the error flux around the elements and yield upper bounds of the exact (or reference) error. Lower bounds of the error [...]

  • A. Huerta, S. Fernández-Méndez, P. Diez
    Mathematical Modelling and Numerical Analysis (2002). Vol. 36 (6), pp. 1027-1042

    Abstract
    In the framework of meshless methods, the interpolation is based on a distribution of particles: it is not necessary to define connectivities. In these methods the interpolation [...]

  • P. Diez, J. Egozcue
    Mathematical Models and Methods in Applied Sciences (2001). Vol. 11 (5), pp. 841-854

    Abstract
    A residual type a posteriori error estimator for finite elements is analyzed using a new technique. In this case, the error estimate is the result of two consecutive [...]

  • P. Diez, M. Arroyo, A. Huerta
    Mechanics of Cohesive-Frictional Materials (2000). Vol. 5 (2), pp. 87-112

    Abstract
    This paper focuses on the numerical simulation of strain softening mechanical problems. Two problems arise: (1) the constitutive model has to be regular and (2) the numerical [...]

  • A. Huerta, P. Diez
    Comput. Methods Appl. Mech. Engrg., (2000). Vol. 181 (1-3), pp. 21-41

    Abstract
    A residual type error estimator for nonlinear finite element analysis is introduced. This error estimator solves local problems avoiding both the computation of the flux jumps [...]

  • P. Diez, A. Huerta
    European Journal of Finite Elements (2000). Vol. 9 (1-3), pp. 49-66

    Abstract
    The finite element discretization of a shell structure introduces two kinds of errors: the error in the functional approximation and the error in the geometry approximation. [...]

  • A. Huerta, A. Rodríguez-Ferran, P. Diez, J. Sarrate
    Int. J. Numer. Meth. Engng. (1999). Vol. 46 (10), pp. 1803-1818

    Abstract
    Two main ingredients are needed for adaptive finite element computations. First, the error of a given solution must be assessed, by means of either error estimators or error [...]

  • P. Diez, A. Huerta
    Comput. Methods Appl. Mech. Engrg., (1999). Vol. 176 (1-4), pp. 215-229

    Abstract
    In h-adaptivity, a remeshing strategy is needed to compute the distribution of required element size using the estimated error distribution. Several authors have introduced [...]

  • P. Díez, J. Egozcue, A. Huerta
    Comput. Methods Appl. Mech. Engrg., (1998). Vol. 163 (1-4), pp. 141-157

    Abstract
    A new residual type estimator based on projections of the error on subspaces of locally-supported functions is presented. The estimator is defined by a standard element-by-element [...]

  • J. Egozcue, G. Grande, P. Diez
    Revista Internacional de Cálculo de Estructuras (1997). Vol. 2 (1), pp. 35-58

    Abstract
    Vulnerability of civil structures and systems under seismic actions have been extensively used and studied in the last decade. However, the goals of those studies are very [...]

  • Revista de Obras Públicas (2007). Vol. 154 (3477), pp. 7-10

    Abstract
    The article refers to the role of the University, and particularly public universities, in the professional guidance of the public in the broadest sense of the term and, namely, [...]

  • E. Oñate, Á. Gaona, J. Oliver, B. Suarez
    Revista de Obras Públicas (1983). Vol. 130 (3212), pp. 231-248

  • J. Oliver, B. Suárez, E. Blanco, E. Oñate
    Acero y Hormigón (1982). Vol. 145, pp. 65-78

  • A. Franci, I. de-Pouplana, G. Casas, M. Celigueta, J. González-Usúa, E. Oñate
    Comp. Part. Mech (2019). pp. 1-20

    Abstract
    This work proposes a fully Lagrangian formulation for the numerical modeling of free-surface particle-laden flows. The fluid phase is solved using the particle finite element [...]

  • J. Baiges, R. Codina, I. Castañar, E. Castillo
    Comput. Methods Appl. Mech. Engrg., (2019). (prepint) pp. 1-14

    Abstract
    In this work a reduced order model based on adaptive finite element meshes and a correction term obtained by using an artificial neural network (FAN-ROM) is presented. The [...]

  • O. Guasch, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2013). Vol. 261-262, pp. 145-166

    Abstract
    Abstract Numerical simulations have proved that Variational Multiscale Methods (VMM) perform well as pure numerical large eddy simulation (LES) models. In this paper we focus [...]

  • O. Zienkiewicz, K. Morgan, B. Sai, R. Codina, M. Vasquez
    Int. J. Numer. Meth. Fluids (1995). Vol. 20 (8-9), pp. 887-913

    Abstract
    The algorithm introduced in Part I of this paper is applied in its explicit form to a variety of problems in order to demonstrate its wide range of applicability and excellent [...]

  • O. Jou Devesa, M. Celigueta, S. Latorre, F. Arrufat, E. Oñate
    Computational Particle Mechanics (2019). Vol. 6 (4), pp 739–765

    Abstract
    This work investigates the failure patterns of ice cakes and floe-icewhen loaded by amoving and sloping structure (ice-breaking ships and cones). In the paper, we introduce [...]

  • Ö. Türk, R. Codina
    Applied Numerical Mathematics (2019). (preprint) Vol. 145, pp. 188-200

    Abstract
    Numerical solution strategies for the Stokes eigenvalue problem based on the use of penalty formulations are investigated in this study. It is shown that the penalty method [...]

  • L. Moreno García, R. Codina, J. Baiges, E. Castillo
    Comput. Methods Appl. Mech. Engrg., (2019). Vol. 354, pp. 706-731

    Abstract
    The log-conformation reformulation, originally proposed by Fattal and Kupferman (2004), allows computing incompressible viscoelastic problems with high Weissenberg numbers [...]

  • E. Castillo, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2019). Vol. 349, pp. 701-721

    Abstract
    In this paper, we propose and analyze the stability and the dissipative structure of a new dynamic term-by-term stabilized finite element formulation for [...]

  • G. Barrenechea, E. Castillo, R. Codina
    Journal of Numerical Analysis (2019). Vol. 39 (2), pp. 792-819

    Abstract
    In this article we analyse a stabilized finite element formulation recently proposed to approximate viscoelastic fluid flows. The formulation has shown to have accuracy and [...]

  • C. Bayona, J. Baiges, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2019). Vol. 344, pp. 1073-1103

    Abstract
    In this work we solve the compressible Navier–Stokes equations written in primitive variables in order to simulate low Mach number aeroacoustic [...]

  • A. Pont, O. Guasch, J. Baiges, R. Codina, A. Hirtum
    Int. J. Numer. Meth. Biomed. Engng (2019). Vol. 35 (1), e3153

    Abstract
    A sibilant fricative /s/ is generated when the turbulent jet in the narrow channel between the tongue blade and the hard palate is deflected downwards through the space between [...]

  • S. Komala, R. Codina
    Int. J. Numer. Meth. Heat and Fluid Flows (2018). Vol. 28 (11), pp. 2688-2715

    Abstract
    Purpose This paper aims to present a finite element formulation to approximate systems of reaction–diffusion–advection equations, focusing on cases with nonlinear [...]

  • A. Aguirre, E. Castillo, M. Cruchaga, R. Codina, J. Baiges
    Journal of Non-Newtonian Fluid Mechanics (2018). Vol. 257, pp. 22-43

    Abstract
    In this work, a variational multiscale finite element formulation is used to approximate numerically the lid-driven cavity flow problem for high Reynolds numbers. For Newtonian [...]

  • Sociedad Española de Matemática Aplicada (2018). Vol. 75 (4), pp. 591-606

    Abstract
    This work analyzes some aspects of the hp convergence of stabilized finite element methods for the convection-diffusion equation when diffusion is small. The methods [...]

  • C. Bayona, R. Codina, J. Baiges
    Comput. Methods Appl. Mech. Engrg., (2018). Vol. 337, pp. 501-526

    Abstract
    This article investigates an explicit a-posteriori error estimator for the finite element approximation of the compressible Navier–Stokes equations. [...]

  • A. Pont, R. Codina, J. Baiges, O. Guasch
    Journal of Computational Physics (2018). Vol. 363, pp. 11-29

    Abstract
    The high computational cost of solving numerically the fully compressible Navier–Stokes equations, together with the poor performance of most numerical formulations [...]

  • Q. Schmid, Y. Mesri, E. Hachem, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2018). Vol. 335, pp. 69-90

    Abstract
    In this work, we present a computational approach for the numerical simulation of thermal radiation. Radiation is modeled by solving a set of two coupled partial [...]

  • C. Bayona, J. Baiges, R. Codina
    Int. J. Numer. Meth. Fluids (2018). Vol. 86 (5), pp. 313-328

    Abstract
    A numerical approximation for the one‐dimensional Burgers equation is proposed by means of the orthogonal subgrid scales–variational multiscale (OSGS‐VMS) method. [...]

  • Comput. Methods Appl. Mech. Engrg., (2017). Vol. 325, pp. 37-55

    Abstract
    In this work we present a general error estimator for the finite element solution of solid mechanics problems based on the Variational Multiscale method. [...]

  • Comput. Methods Appl. Mech. Engrg., (2017). Vol. 110 (13), pp. 1203-1226

    Abstract
    The need for remeshing when computing flow problems in domains suffering large deformations has motivated the implementation of a tool that allows the proper transmission [...]

  • E. Castillo, R. Codina
    Mathematical Models and Methods in Applied Sciences (2017). Vol. 51 (4), pp. 1407-1427

    Abstract
    In this paper we present the numerical analysis of a three-field stabilized finite element formulation recently proposed to approximate viscoelastic flows. The three-field [...]

  • J. Baiges, R. Codina, A. Pont, E. Castillo
    Comput. Methods Appl. Mech. Engrg., (2017). Vol. 313, pp. 159-188

    Abstract
    In this work we present a Fixed-Mesh ALE method for the numerical simulation of free surface flows capable of using an adaptive finite element mesh covering a background [...]

  • E. Castillo, R. Codina
    Computers & Fluids (2017). Vol. 142, pp. 72-78

    Abstract
    In this paper, a three-field finite element stabilized formulation for the incompressible viscoelastic fluid flow problem is tested numerically. Starting from a residual based [...]

  • L. Yang, S. Badia, R. Codina
    Computational Mechanics (2016). Vol. 58 (6), pp. 1051-1069

    Abstract
    In this work, we design an explicit time-stepping solver for the simulation of the incompressible turbulent flow through the combination of VMS methods and artificial compressibility. [...]

  • O. Guasch, P. Sánchez-Martín, A. Pont, J. Baiges, R. Codina
    Int. J. Numer. Meth. Fluids (2016). Vol. 82, pp. 839-857

    Abstract
    The acoustic perturbation equations (APE) are suitable to predict aerodynamic noise in the presence of a non‐uniform mean flow. As for any hybrid computational aeroacoustics [...]

  • Ö. Türk, D. Boffi, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2016). Vol. 310, pp. 886-905

    Abstract
    In this paper, the stabilized finite element approximation of the Stokes eigenvalue problems is considered for both the two-field (displacement–pressure) [...]

  • C. Bayona, J. Baiges, R. Codina
    Int. J. Numer. Meth. Heat and Fluid Flows (2016). Vol. 26 (3-4), pp. 1240-1271

    Abstract
    Purpose The purpose of this paper is to apply the variational multi-scale framework to the finite element approximation of the compressible Navier-Stokes equations written [...]

  • O. Guasch, A. Pont, J. Baiges, R. Codina
    Computers and Fluids (2016). Vol. 133, pp. 129-139

    Abstract
    The computation of flow-induced noise at low Mach numbers usually relies on a two-step hybrid methodolgy. In the first step, an incompressible fluid dynamics simulation (CFD) [...]

  • O. Guasch, M. Arnela, R. Codina, H. Espinoza
    Acta Acustica united with Acustica (2016). (preprint) Vol. 102, pp. 94-106

    Abstract
    Working with the wave equation in mixed rather than irreducible form allows one to directly account for both, the acoustic pressure field and the acoustic particle velocity [...]

  • E. Castillo, J. Baiges, R. Codina
    Journal of Non-Newtonian Fluid Mechanics (2015). Vol. 225, pp. 37-53

    Abstract
    The numerical simulation of complex flows has been a subject of intense research in the last years with important industrial applications in many fields. In this paper we [...]

  • H. Espinoza, R. Codina, S. Badia
    Comput. Methods Appl. Mech. Engrg., (2015). Vol. 296, pp. 295-326

    Abstract
    In this paper we analyze time marching schemes for the wave equation in mixed form. The problem is discretized in space using stabilized finite elements. On the one hand, [...]

  • E. Hachem, S. Feghali, T. Coupez, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2015). Vol. 104 (7), pp. 566-584

    Abstract
    We propose a full Eulerian framework for solving fluid‐structure interaction (FSI) problems based on a unified formulation in which the FSIs are modelled by introducing [...]

  • Int. J. Numer. Meth. Engng. (2015). Vol. 104 (7), pp. 624-654

    Abstract
    In this work, we propose a method to prescribe essential boundary conditions in the finite element approximation of elliptic problems when the boundary of the computational [...]

  • R. Codina, J. Principe, C. Muñoz, J. Baiges
    Int. J. Numer. Meth. Fluids (2015). Vol. 79 (2), pp. 84-107

    Abstract
    In this paper, we describe a numerical model to simulate the evolution in time of the hydrodynamics of water storage tanks, with particular emphasis on the time evolution [...]

  • S. Badia, R. Codina, R. Planas
    Archives of Comp. Meths. Engng. (2015). Vol. 22 (4), pp. 621-636

    Abstract
    In this work, we analyze a recently proposed stabilized finite element formulation for the approximation of the resistive magnetohydrodynamics equations. The novelty of this [...]

  • M. Ávila, R. Codina, R. Planas
    Int. J. Numer. Meth. Heat and Fluid Flows (2015). Vol. 25, pp. 1361-1384

    Abstract
    Purpose – The purpose of this paper is to present a finite element approximation of the low Mach number equations coupled with radiative equations to account for radiative [...]

  • E. Castillo, R. Codina
    Journal of Computational Physics (2015). Vol. 296, pp. 113-137

    Abstract
    In this paper, three different fractional step methods are designed for the three-field viscoelastic flow problem, whose variables are velocity, pressure and [...]

  • O. Colomés, S. Badia, R. Codina, J. Principe
    Comput. Methods Appl. Mech. Engrg., (2015). Vol. 285, pp. 32-63

    Abstract
    In this work we study the performance of some variational multiscale models (VMS) in the large eddy simulation (LES) of turbulent flows. We consider VMS models obtained by [...]

  • Computers and Fluids (2015). Vol. 107, pp. 141-154

    Abstract
    In this work we present a numerical model for the estimation of atmospheric seeing in observation sites. The particularity of the method is that it is based on a Variational [...]

  • E. Castillo, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2014). Vol. 279, pp. 579-605

    Abstract
    In this paper, three-field finite element stabilized formulations are proposed for the numerical solution of incompressible viscoelastic flows. These methods allow one to [...]

  • E. Castillo, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2014). Vol. 279, pp. 554-578

    Abstract
    The three-field (stress–velocity–pressure) mixed formulation of the incompressible Navier–Stokes problem can lead to two different types of numerical instabilities. [...]

  • S. Badia, R. Codina, H. Espinoza
    SIAM J. Numer. Anal. (2014). Vol. 52 (4), pp. 1729-1752

    Abstract
    In this paper we propose two stabilized finite element methods for different functional frameworks of the wave equation in mixed form. These stabilized finite element [...]

  • M. Ávila, R. Codina, J. Principe
    Computers and Fluids (2014). Vol. 99, pp. 44-66

    Abstract
    Objective: In this article we study the approximation to thermal turbulence from a strictly numerical point of view, without the use of any physical model. The main goal is [...]

  • H. Espinoza, R. Codina, S. Badia
    Comput. Methods Appl. Mech. Engrg., (2014). Vol. 276, pp. 122-148

    Abstract
    In this paper we develop numerical approximations of the wave equation in mixed form supplemented with non-reflecting boundary conditions (NRBCs) of Sommerfeld-type on artificial [...]

  • S. Badia, R. Codina, T. Gudi, J. Guzmán
    IMA Journal of Numerical Analysis (2014). Vol. 34 (2), pp. 800-819

    Abstract
    In this article, we analyse several discontinuous Galerkin (DG) methods for the Stokes problem under minimal regularity on the solution. We assume that the velocity u belongs [...]

  • R. Codina, S. Badia
    Comput. Methods Appl. Mech. Engrg., (2013). Vol. 263, pp. 158-168

    Abstract
    The objective of this paper is to present a new framework for the design of discontinuous Galerkin (dG) methods for elliptic problems. The idea is to start from a hybrid formulation [...]

  • E. Hachem, S. Feghali, R. Codina, T. Coupez
    Int. J. Numer. Meth. Engng. (2013). Vol. 94 (9), pp. 805-825

    Abstract
    This paper presents advancements toward a monolithic solution procedure and anisotropic mesh adaptation for the numerical solution of fluid–structure interaction with [...]

  • E. Hachem, S. Feghali, R. Codina, T. Coupez
    Computers and Structures (2013). Vol. 122, pp. 88-100

    Abstract
    This paper presents a monolithic formulation framework combined with an anisotropic mesh adaptation for fluid–structure interaction (FSI) applications with complex geometry. [...]

  • Int. J. Numer. Meth. Engng. (2013). Vol. 93 (6), pp. 664-684

    Abstract
    In this paper, we apply the variational multiscale method with subgrid scales on the element boundaries to the problem of solving the Helmholtz equation with low‐order finite [...]

  • S. Badia, R. Codina, R. Planas
    Journal of Computational Physics (2013). Vol. 234, pp. 399-416

    Abstract
    In this work, we propose a new stabilized finite element formulation for the approximation of the resistive magnetohydrodynamics equations. The novelty of this [...]

  • J. Baiges, R. Codina, F. Henke, S. Shahmiri, W. Wall
    Int. J. Numer. Meth. Engng. (2012). Vol. 90 (5), pp. 636-658

    Abstract
    In this paper, we propose a way to weakly prescribe Dirichlet boundary conditions in embedded finite element meshes. The key feature of the method is that the algorithmic [...]

  • H. Owen, R. Codina
    Int. J. Numer. Meth. Fluids (2012). Vol. 69 (1), pp. 52-72

    Abstract
    In this work we explore a velocity correction method that introduces the splitting at the discrete level. In order to do so, the algebraic continuity equation is transformed [...]

  • S. Badia, R. Codina
    SIAM J. Numer. Anal. (2012). Vol. 50 (2), pp. 398-417

    Abstract
     A new mixed finite element approximation of Maxwell's problem is proposed, its main features being that it is based on a novel augmented formulation of the continuous [...]

  • S. Badia, R. Codina
    Applied Numerical Mathematics (2012). Vol. 62 (4) pp. 246-263

    Abstract
    In this work we propose stabilized finite element methods for Stokesʼ, Maxwellʼs and Darcyʼs problems that accommodate any interpolation of velocities and pressures. We [...]

  • S. Badia, R. Codina
    Applied Mathematics and Computation (2011). Vol. 218 (8), pp. 4276-4294

    Abstract
    Continuous Galerkin formulations are appealing due to their low computational cost, whereas discontinuous Galerkin formulation facilitate adaptative mesh refinement and are [...]

  • J. Baiges, R. Codina, H. Coppola-Owen
    Int. J. Numer. Meth. Fluids (2011). Vol. 67 (8), pp. 1004-1023

    Abstract
    In this paper, we propose a method to solve the problem of floating solids using always a background mesh for the spatial discretization of the fluid domain. The main feature [...]

  • M. Ávila, J. Principe, R. Codina
    Journal of Computational Physics (2011). Vol. 230, pp. 7988-8009

    Abstract
    In this work we propose a variational multiscale finite element approximation of thermally coupled low speed flows. The physical model is described by the low Mach number [...]

  • Int. J. Numer. Meth. Engng. (2011). Vol. 87 (1-5), pp. 386-411

    Abstract
    Terms involving jumps of stresses on boundaries are proposed for the finite element approximation of the Stokes problem and the linear elasticity equations. These terms are [...]

  • B. Schrefler, R. Codina, F. Pesavento, J. Principe
    Int. J. Numer. Meth. Engng. (2010). Vol. 87 (1-5), pp. 361-385

    Abstract
      In this work we present the progress in the development of an algorithm for the simulation of thermal fluid–structural coupling in a tunnel fire. The coupling [...]

  • Int. J. Numer. Meth. Engng. (2009). Vol. 81 (12), pp. 1529-1557

    Abstract
    In this paper we propose a method to solve Solid Mechanics and fluid–structure interaction problems using always a fixed background mesh for the spatial discretization. [...]

  • H. Coppola-Owen, R. Codina
    Int. J. Numer. Meth. Fluids (2011). Vol. 66 (7), pp. 833-851

    Abstract
    The simulation of low Froude number mould filling problems on fixed meshes presents significant difficulties. As the Froude number decreases, the coupling between the position [...]

  • R. Planas, S. Badia, R. Codina
    Journal of Computational Physics (2011). Vol. 230 (8), pp. 2977-2996

    Abstract
    In this work, we present a stabilized formulation to solve the inductionless magnetohydrodynamic (MHD) problem using the finite element (FE) method. The MHD [...]

  • R. Codina, N. Hernández-Silva
    Journal of Computational Physics (2011). Vol. 230 (4), pp. 1281-1303

    Abstract
    A numerical formulation to solve the MHD problem with thermal coupling is presented in full detail. The distinctive feature of the method is the design of the stabilization [...]

  • M. Ávila, R. Codina, J. Principe
    Comput. Methods Appl. Mech. Engrg., (2011). Vol. 200 (5-8), pp. 425-438

    Abstract
    In this paper we present stabilized finite element methods to discretize in space the monochromatic radiation transport equation. These methods are based on the decomposition [...]

  • S. Badia, R. Codina, J. Gutiérrez-Santacreu
    SIAM J. Numer. Anal. (2010). Vol. 48 (3), pp. 1013-1037

    Abstract
    Variational multiscale methods lead to stable finite element approximations of the NavierStokes equations, both dealing with the indefinite nature of the system (pressure [...]

  • R. Codina, J. Principe, M. Ávila
    Int. J. Numer. Meth. Heat and Fluid Flow (2010). Vol. 20 (5), pp. 492-516

    Abstract
    The objective of this work is to describe a variational multiscale finite element approximation for the incompressible Navier-Stokes equations using the Boussinesq approximation [...]

  • S. Badia, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2010). vol. 199 (25-28), pp. 1654-1667

    Abstract
    We design stabilized methods based on the variational multiscale decomposition of Darcy's problem. A model for the subscales is designed by using a heuristic Fourier analysis. [...]

  • J. Principe, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2010). Vol. 199 (21-22), pp. 1386-1402

    Abstract
    In this paper we revisit the definition of the stabilization parameter in the finite element approximation of the convection–diffusion–reaction equation. The starting [...]

  • J. Principe, R. Codina, F. Henke
    Comput. Methods Appl. Mech. Engrg., (2010). Vol. 199 (13-16), pp. 791-801

    Abstract
    In this paper, we present a precise definition of the numerical dissipation for the orthogonal projection version of the variational multiscale method for incompressible flows. [...]

  • R. Codina, J. Baiges, D. Pérez-Sánchez, M. Collados
    Computers and Fluids (2010). Vol. 39 (1), pp. 87-98

    Abstract
    We present a numerical formulation to compute optical parameters in a turbulent air flow. The basic numerical formulation is a large eddy simulation (LES) of the incompressible [...]

  • Int. J. Numer. Meth. Engng. (2009). Vol. 80 (11), pp. 1379-1405

    Abstract
    We analyze several possibilities to prescribe boundary conditions in the context of immersed boundary methods. As basic approximation technique we consider the finite element [...]

  • O. Guasch, R. Codina
    Journal of Computational Acoustics (2009). Vol. 17 (3), pp. 309-330

    Abstract
    A methodology to perform computational aeroacoustics (CAA) of viscous low speed flows in the framework of stabilized finite element methods is presented. A hybrid CAA procedure [...]

  • J. Principe, R. Codina
    Adv. Theor. Appl. Mech. (2009). Vol. 2 (2), pp. 93-112

    Abstract
    In this paper we review and clarify some aspects of the asymptotic analysis of the compressible Navier Stokes equations in the low Mach number limit. In the absence of heat [...]

  • S. Badia, R. Codina
    SIAM J. Numer. Anal. (2009). Vol. 47 (3), pp. 1971-2000

    Abstract
    In this paper we propose stabilized finite element methods for both Stokes' and Darcy's problems that accommodate any interpolation of velocities and pressures. Apart [...]

  • J. Principe, R. Codina
    Int. J. Numer. Meth. Fluids (2009). Vol. 59 (11), pp. 1181-1201

    Abstract
    In this article we analyze the problem of the thermal coupling of fluids and solids through a common interface. We state the global thermal problem in the whole domain, including [...]

  • S. Badia, R. Codina
    Applied Mathematics and Computation (2009). Vol. 207 (2), pp. 415-433

    Abstract
    In this article, we analyze some residual-based stabilization techniques for the transient Stokes problem when considering anisotropic time–space discretizations. [...]

  • R. Codina, G. Houzeaux, H. Coppola-Owen, J. Baiges
    Journal of Computational Physics (2009). Vol. 228 (5), pp. 1591-1611

    Abstract
    In this paper we propose a method to approximate flow problems in moving domains using always a given grid for the spatial discretization, and therefore the formulation [...]

  • SIAM J. Numer. Anal. (2009). Vol. 47 (1), pp. 699-718

    Abstract
    The stress-displacement-pressure formulation of the elasticity problem may suffer from two types of numerical instabilities related to the finite element interpolation of [...]

  • R. Codina, J. Principe, J. Baiges
    Comput. Methods Appl. Mech. Engrg., (2009). Vol. 198 (5-8), pp. 838-852

    Abstract
    In this paper, we introduce a way to approximate the subscales on the boundaries of the elements in a variational two-scale finite element approximation to flow problems. [...]

  • J. Principe, R. Codina
    Int. J. Num. Meths. for Heat and Fluid Flows. (2008). Vol. 18 (7-8), pp. 835-867

    Abstract
    Purpose – The purpose of this paper is to describe a finite element formulation to approximate thermally coupled flows using both the Boussinesq and the low Mach number [...]

  • S. Badia, R. Codina
    Archives of Comp. Meths. Engng. (2008). Vol. 15 (3), pp. 1-52

    Abstract
    This work is an overview of algebraic pressure segregation methods for the incompressible Navier-Stokes equations. These methods can be understood as an inexactLU block [...]

  • R. Codina, J. González-Ondina, G. Díaz-Hernández, J. Principe
    Int. J. Numer. Meth. Fluids (2008). Vol. 57 (9), pp. 1305-1322

    Abstract
    In this work, we present a finite element model to approximate the modified Boussinesq equations. The objective is to deal with the major problem associated with this system [...]

  • Applied Numerical Mathematics (2008). Vol. 58 (3), pp. 264-283

    Abstract
    In this paper we present a stabilized finite element formulation to solve the Oseen equations as a model problem involving both convection effects and the incompressibility [...]

  • Comput. Methods Appl. Mech. Engrg., (2008). Vol. 197 (13-16), pp. 1305-1322

    Abstract
    The purpose of this paper is to present a finite element approximation of the scalar hyperbolic wave equation written in mixed form, that is, introducing an auxiliary vector [...]

  • S. Badia, R. Codina
    Int. J. Numer. Meth. Engng. (2007). Vol. 72 (1), pp. 46-71

    Abstract
    In this paper we suggest some algorithms for the fluid-structure interaction problem stated using a domain decomposition framework. These methods involve stabilized pressure [...]

  • S. Badia, R. Codina
    Int. J. Numer. Meth. Fluids (2008). Vol. 56 (4), pp. 351-382

    Abstract
    In this paper, we introduce some pressure segregation methods obtained from a non‐standard version of the discrete monolithic system, where the continuity equation has been [...]

  • S. Badia, R. Codina
    Numerische Mathematik (2007). Vol. 107 (4), pp. 533-557

    Abstract
    In this paper we obtain convergence results for the fully discrete projection method for the numerical approximation of the incompressible Navier–Stokes equations using [...]

  • Comp. Part. Mech. (2019).

    Abstract
    Changes in direction and cross section in supercritical hydraulic channels generate shockwaves which result in an increase in flow depth with regard to that for uniform regime. [...]

  • O. Guasch, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2007). Vol. 196 (45-48), pp. 4672-4689

    Abstract
    An algebraic subgrid scale finite element method formally equivalent to the Galerkin Least-Squares method is presented to improve the accuracy of the Galerkin finite element [...]

  • H. Coppola-Owen, R. Codina
    Int. J. Numer. Meth. Fluids (2007). Vol. 54 (10), pp. 1151-1171

    Abstract
    In this paper, we present a finite element model for free surface flows on fixed meshes. The main novelty of the approach, compared with typical fixed mesh finite element [...]

  • R. Codina, J. Principe
    Int. J. Numer. Meth. Fluids (2007). Vol. 54 (6-8), pp. 707-730

    Abstract
    In this paper, we propose a variational multiscale finite‐element approximation for the incompressible Navier–Stokes equations using the Boussinesq approximation to [...]

  • R. Codina, J. Principe, O. Guasch, S. Badia
    Comput. Methods Appl. Mech. Engrg., (2007). Vol. 196 (21-24), pp. 2413-2430

    Abstract
    In this paper we analyze a stabilized finite element approximation for the incompressible Navier–Stokes equations based on the subgrid-scale concept. The essential point [...]

  • G. Houzeaux, R. Codina
    Computers and Fluids (2007). Vol. 36 (4), pp. 667-679

    Abstract
    We present in this paper a numerical strategy for the simulation of rotary positive displacement pumps, taking as an example a gear pump. While the two gears of the pump are [...]

  • S. Badia, R. Codina
    SIAM J. Numer. Anal. (2006). Vol. 44 (5), pp. 2159-2197

    Abstract
    In this paper we analyze a stabilized finite element method to approximate the convection‐diffusion equation on moving domains using an arbitrary Lagrangian Eulerian (ALE) [...]

  • R. Codina, G. Houzeaux
    Int. J. Numer. Meth. Fluids (2006). Vol. 52 (9), pp. 963-986

    Abstract
    In this paper, we analyse the numerical approximation of the heat transfer problem between two subdomains that we will consider filled with a fluid and separated by a thin [...]

  • R. Codina, N. Hernández-Silva
    Computational Mechanics (2006). Vol. 38 (4-5), pp. 344-355

    Abstract
    In this work we present a stabilized finite element method for the stationary magneto-hydrodynamic equations based on a simple algebraic version of the subgrid scale variational [...]

  • G. Houzeaux, R. Codina
    Int. J. Num. Meths. for Heat and Fluid Flow (2006). Vol. 16 (5), pp. 573-589

    Abstract
    Purpose – To develop a numerical methodology to simulate the lost foam casting (LFC), including the gas back-pressure effects. Design/methodology/approach – [...]

  • P. Nithiarasu, R. Codina, O. Zienkiewicz
    Int. J. Numer. Meth. Engng. (2006). Vol. 66 (10), pp. 1514-1546

    Abstract
    This paper presents a comprehensive overview of the characteristic‐based methods and Characteristic‐Based Split (CBS) scheme. The practical difficulties of employing the [...]

  • R. Codina, H. Coppola-Owen, P. Nithiarasu, C. Liu
    Int. J. Numer. Meth. Engng. (2006). Vol. 66 (10), pp. 1677-1689

    Abstract
    In this work, we present numerical comparisons of some stabilization methods for the incompressible Navier–Stokes. The first is the characteristic‐based split (CBS). [...]

  • R. Codina, S. Badia
    Comput. Methods Appl. Mech. Engrg., (2006). Vol. 195 (23-24), pp. 2900-2918

    Abstract
    In this paper we treat several aspects related to time integration methods for the incompressible Navier-Stokes equations that allow to uncouple the calculation of the velocities [...]

  • A. Coppola‐Owen, R. Codina
    Int. J. Numer. Meth. Fluids (2005). Vol. 49 (12), pp. 1287-1304

    Abstract
    In this paper we present a problem we have encountered using a stabilized finite element method on fixed grids for flows with interfaces modelled with the level set approach. [...]

  • J. Blasco, R. Codina
    Applied Numerical Mathematics (2004). Vol. 51 (1), pp. 1-17

    Abstract
    In this paper we provide an error analysis of a fractional-step method for the numerical solution of the incompressible Navier–Stokes equations. Under mild regularity [...]

  • G. Houzeaux, R. Codina
    Int. J. Numer. Meth. Fluids (2004). Vol. 46 (2), pp. 203-226

    Abstract
    In this paper, we present a numerical model to simulate lost foam casting processes. We first introduce this particular casting in order to catch the different physical processes [...]

  • R. Codina, O. Soto
    Comput. Methods Appl. Mech. Engrg., (2004). Vol. 193 (15-16), pp. 1403-1419

    Abstract
    This paper describes a finite element model to solve the incompressible Navier–Stokes equations based on the stabilization with orthogonal subscales and a pressure segregation. [...]

  • R. Codina, A. Folch
    Int. J. Numer. Meth. Fluids (2004). Vol. 44 (5), pp. 483-503

    Abstract
    A finite element model to solve the incompressible Navier–Stokes equations based on the stabilization with orthogonal subscales, a predictor–corrector scheme to [...]

  • G. Houzeaux, R. Codina
    Computers and Fluids (2004). Vol. 33 (5-6), pp. 771-782

    Abstract
    When one wants to simulate flows with moving bodies and when there is no possible way of prescribing simple boundary conditions in any frame of reference, one possibility [...]

  • G. Houzeaux, R. Codina
    Journal of Computational and Applied Mathematics (2003). Vol. 158 (2), pp. 243-276

    Abstract
    We present a new overlapping Dirichlet/Robin Domain Decomposition method. The method uses Dirichlet and Robin transmission conditions on the interfaces of an overlapping partitioning [...]

  • G. Houzeaux, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2003). Vol. 192 (31-32), pp. 3343-3377

    Abstract
    We present a Chimera method for the numerical solution of incompressible flows past objects in relative motion. The Chimera method is implemented as an iteration-by-subdomain [...]

  • Comput. Methods Appl. Mech. Engrg., (2002). Vol. 191 (39-40), pp. 4295-4321

    Abstract
    In this paper we present a stabilized finite element method to solve the transient Navier–Stokes equations based on the decomposition of the unknowns into resolvable [...]

  • R. Codina, O. Soto
    Int. J. Numer. Meth. Fluids (2002). Vol. 40 (1-2), pp. 293-301

    Abstract
    The objective of this work is to present a stabilized finite element formulation for transient incompressible flows and to apply it to the tracking of two‐fluid interfaces. [...]

  • S. Badia, R. Codina
    Computing and Visualization in Science (2002). Vol. 4 (3), pp. 167-174

    Abstract
    In this paper we analyze a stabilized finite element method to approximate the convection diffusion equation on moving domains using an ALE framework. As basic numerical strategy, [...]

  • R. Codina, O. Zienkiewicz
    Commun. Numer. Meth. Engng (2001). Vol 18 (2), pp. 99-112

    Abstract
    In this work we compare two apparently different stabilization procedures for the finite element approximation of the incompressible Navier–Stokes equations. The first [...]

  • R. Codina, J. Blasco, G. Buscaglia, A. Huerta
    Int. J. Numer. Meth. Fluids (2001). Vol. 37 (4), pp. 419-444

    Abstract
    We discuss in this paper some implementation aspects of a finite element formulation for the incompressible Navier-Stokes which allows the use of equal order velocity-pressure [...]

  • A. Folch, J. Martí i Castell, R. Codina
    Journal of Geophysical Research (2001). Vol. 106 (B8), pp. 16 163-16 175

    Abstract
    We propose a simple physical model to characterize the dynamics of magma withdrawal during the course of caldera-forming eruptions. Simplification involves considering such [...]

  • J. Blasco, R. Codina
    Applied Numerical Mathematics (2001). Vol. 38 (4), pp. 475-497

    Abstract
    In this paper we analyze a pressure stabilized, finite element method for the unsteady, incompressible Navier–Stokes equations in primitive variables; for the [...]

  • Journal of Computational Physics (2001). Vol. 170 (1), pp. 112-140

    Abstract
    The objective of this paper is to analyze the pressure stability of fractional step finite element methods for incompressible flows. For the classical first order projection [...]

  • G. Houzeaux, R. Codina
    Comput. Methods Appl. Mech. Engrg., (2001). Vol 17 (3), pp. 179-190

    Abstract
    This work presents a conservative scheme for iteration‐by‐subdomain domain decomposition (DD) strategies applied to the finite element solution of flow problems. The DD [...]

  • Comput. Methods Appl. Mech. Engrg., (2001). Vol. 190 (20-21), pp. 2681-2706

    Abstract
    In this paper we describe a finite element formulation for the numerical solution of the stationary Navier-Stokes equations including Coriolis forces and the permeability [...]

  • Comput. Methods Appl. Mech. Engrg., (2000). Vol. 190 (13-14), pp. 1579-1599

    Abstract
    Two apparently different forms of dealing with the numerical instability due to the incompressibility constraint of the stokes problem are analyzed in this paper. The first [...]

  • R. Codina, J. Blasco
    Numerische Mathematik (2000). Vol. 87 (1), pp. 59-81

    Abstract
    The purpose of this paper is to analyze a finite element approximation of the stationary Navier-Stokes equations that allows the use of equal velocity-pressure interpolation. [...]

  • G. Buscaglia, F. Basombrío, R. Codina
    Int. J. Numer. Meth. Fluids (2000). Vol. 34 (1), pp. 65-92

    Abstract
    Fourier analysis techniques are applied to the stabilized finite element method (FEM) recently proposed by Codina and Blasco for the approximation of the incompressible Navier–Stokes [...]

  • Int. J. Numer. Meth. Fluids (2000). Vol. 33 (5), pp. 737-766

    Abstract
    The objective of this paper is twofold. First, a stabilized finite element method for the incompressible Navier-Stokes is presented, and several numerical experiments are [...]

  • Comput. Methods Appl. Mech. Engrg., (2000). Vol. 188 (200), pp. 61-82

    Abstract
    A stabilized finite element method for solving systems of convection-diffusion-reaction equations is studied in this paper. The method is based on the subgrid scale approach [...]

  • R. Codina, J. Blasco
    Comput. Methods Appl. Mech. Engrg., (2000). Vol. 182 (3-4), pp. 277-300

    Abstract
    In this paper we present a stabilized finite element formulation for the transient incompressible Navier–Stokes equations. The main idea is to introduce as a new unknown [...]

  • R. Codina, O. Soto
    Int. J. Numer. Meth. Engng. (1999). Vol. 46 (9), pp. 1559-1573

    Abstract
    In this work we present a finite element formulation to simulate the filling of thin moulds. The model has as starting point a 3‐D approach using either div‐stable elements, [...]

  • O. Zienkiewicz, P. Nithiarasu, R. Codina, M. Vázquez, P. Ortiz
    Int. J. Numer. Meth. Fluids (1999). Vol. 31 (1), pp. 359-392

    Abstract
    In 1995 the two senior authors of the present paper introduced a new algorithm designed to replace the Taylor–Galerkin (or Lax–Wendroff) methods, used by them [...]

  • R. Codina, O. Soto
    Int. J. Numer. Meth. Fluids (1999). Vol. 30 (3), 309-334

    Abstract
    The main purpose of this paper is to describe a finite element formulation for solving the equations for k and ε of the classical k–ε [...]

  • R. Folch, M. Vázquez, R. Codina, J. Martí i Castell
    Computers and Geotechnics (1999). Vol. 25 (3), pp. 263-275

    Abstract
    We develop an algorithm to solve numerically the Navier–Stokes equations using a finite element method. The algorithm uses a fractional step approach that allows [...]

  • Journal of Computational Physics (1999). Vol. 148 (2), pp. 467-496

    Abstract
    In this paper we present a numerical formulation to solve the incompressible Navier–Stokes equations written in a rotating frame of reference. The method is based on [...]

  • R. Codina, O. Soto
    Comput. Methods Appl. Mech. Engrg., (1997). Vol. 142 (3-4), pp. 215-234

    Abstract
    The objective of this paper is to present a finite element formulation to solve the Stokes problem with Coriolis force. This force results in a skew-symmetric term in the [...]

  • P. Nithiarasu, O. Zienkiewicz, B. Sai, K. Morgan, R. Codina, M. Vázquez
    Int. J. Numer. Meth. Fluids (1998). Vol. 28 (9), pp. 1325-1353

    Abstract
    The performance of different shock capturing viscosities has been examined using our general fluid mechanics algorithm. Four different schemes have been tested, both for viscous [...]

  • J. Blasco, R. Codina, A. Huerta
    Int. J. Numer. Meth. Fluids (1998). Vol. 28 (10), pp. 1391-1419

    Abstract
    An implicit fractional-step method for the numerical solution of the time-dependent incompressible Naiver-Stokes equations in primitive variables is developed and studied [...]

  • R. Folch, J. Marti, R. Codina, M. Vázquez
    Journal of Geophysical Research: Solid Earth (1998). Vol. 103, 20883-20899

    Abstract
    An axisymmetrical numerical model has been developed in order to find the temporal evolution of pressure, the position of the exsolution level, the velocity field, the eruption [...]

  • Comput. Methods Appl. Mech. Engrg., (1998). Vol. 156, (1-4), pp. 185-210

    Abstract
    In this paper we describe several finite element methods for solving the diffusion-convection-reaction equation. None of them is new, although the presentation is non-standard [...]

  • R. Codina, M. Vázquez, O. Zienkiewicz
    Int. J. Numer. Meth. Fluids (1998). Vol. 27 (1-4), 13-32

    Abstract
    In this paper we consider some particular aspects related to the semi‐implicit version of a fractional step finite element method for compressible flows that we have developed [...]

  • R. Codina, J. Blasco
    Comput. Methods Appl. Mech. Engrg., (1997). Vol. 143 (3–4), pp. 373-391

    Abstract
    In this paper we study a variational formulation of the Stokes problem that accommodates the use of equal velocity-pressure finite element interpolations. The motivation of [...]

  • O. Zienkiewicz, B. Sai, K. Morgan, R. Codina
    Int. J. Numer. Meth. Fluids (1996). Vol. 23, 787-809

    Abstract
    In an earlier paper, Zienkiewicz and Codina (Int. j. numer. methods fluids, 20, 869–885 (1995)) presented a general algorithm for the solution of both compressible [...]

  • O. Zienkiewicz, R. Codina
    Int. J. Numer. Meth. Fluids (1995). Vol. 20, 869-885

    Abstract
    The paper outlines the formulation of a novel algorithm which can be used for the solution of both compressible and incompressible Navier‐Stokes or Euler equations. Full [...]

  • F. Ahmad, S. Ullah, N. Merican, E. Oñate, A. Al-Sehemi, G. Yeoh
    Construction and Building Material (2019). Vol. 228, 116734

    Abstract
    This research emphases on the synthesis of new formulations of intumescent coating with improved thermal performance for steel structures. The coating formulations were based [...]

  • Comput. Methods Appl. Mech. Engrg., (1993). Vol. 110 (3-4), pp. 325-342

    Abstract
    To avoid the local oscillations that still remain using the streamline-upwind/Petrov-Galerkin formulation for the scalar convection-diffusion equation, the introduction of [...]

  • Int. J. Numer. Meth. Engng. (1993). Vol. 36, 1445-1464

    Abstract
    The stability and accuracy of the forward Euler scheme for the semidiscrete problem arising from the space discretization of the convection‐diffusion equation using the [...]

  • Comput. Methods Appl. Mech. Engrg., (1993). Vol. 110 (3-4), pp. 237-262

    Abstract
    The objective of this paper is to analyse an iterative procedure for the finite element solution of the Stokes and Navier-Stokes stationary problems. For the latter case, [...]

  • (2014). S. Idelsohn (Ed.), Numerical Simulations of Coupled Problems in Engineering, Part III, Chapter 7 Computational Methods, Vol. 33, Springer, pp. 157-169

    Abstract
    This work deals with the numerical simulation and material flow visualization of Friction Stir Welding (FSW) processes. The 4-th order Runge-Kutta (RK4) integration method [...]

  • Metals (2019). Vol. 9 (5), pp. 573

    Abstract
    The computational modeling and numerical simulation of Friction Stir Welding (FSW) processes is an extremely challenging task due to the highly nonlinear and coupled nature [...]

  • Int. J. Numer. Meth. Engng. (2017). (preprint) Vol. 113 (6), pp. 910-937

    Abstract
    In this paper, conserving time‐stepping algorithms for frictionless and full stick friction dynamic contact problems are presented. Time integration algorithms for frictionless [...]