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  • 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. [...]

Articles (Documents not available in Scipedia)

  • Assessment of variational multiscale models for the large eddy simulation of turbulent incompressible flows

    O Colomés, S Badia, R Codina, J Principe

    Computer Methods in Applied Mechanics and Engineering 285, 32-63, 2015

  • Mixed stabilized finite element methods in nonlinear solid mechanics. Part III: Compressible and incompressible plasticity

    M Cervera, M Chiumenti, L Benedetti, R Codina

    Computer Methods in Applied Mechanics and Engineering 285, 752-775, 2015

  • Large eddy simulation of low mach number flows using dynamic and orthogonal subgrid scales

    M Avila, R Codina, J Principe

    Computers & Fluids 99, 44-66, 2014

  • Stabilized stress–velocity–pressure finite element formulations of the Navier–Stokes problem for fluids with non-linear viscosity

    E Castillo, R Codina

    Computer Methods in Applied Mechanics and Engineering 279, 554-578, 2014

  • Variational multi-scale stabilized formulations for the stationary three-field incompressible viscoelastic flow problem

    E Castillo, R Codina

    Computer Methods in Applied Mechanics and Engineering 279, 579-605, 2014

  • Anisotropic adaptive meshing and monolithic Variational Multiscale method for fluid–structure interaction

    E Hachem, S Feghali, R Codina, T Coupez

    Computers & Structures 122, 88-100, 2013

  • On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics

    S Badia, R Codina, R Planas

    Journal of Computational Physics 234, 399-416, 2013

  • Immersed stress method for fluid–structure interaction using anisotropic mesh adaptation

    E Hachem, S Feghali, R Codina, T Coupez

    International Journal for Numerical Methods in Engineering 94 (9), 805-825, 2013

  • Explicit reduced‐order models for the stabilized finite element approximation of the incompressible Navier–Stokes equations

    J Baiges, R Codina, S Idelsohn

    International Journal for Numerical Methods in Fluids 72 (12), 1219-1243, 2013

  • Statistical behavior of the orthogonal subgrid scale stabilization terms in the finite element large eddy simulation of turbulent flows

    O Guasch, R Codina

    Computer Methods in Applied Mechanics and Engineering 261, 154-166, 2013

  • Stokes, Maxwell and Darcy: A single finite element approximation for three model problems

    S Badia, R Codina

    Applied Numerical Mathematics 62 (4), 246-263, 2012

  • A nodal-based finite element approximation of the Maxwell problem suitable for singular solutions

    S Badia, R Codina

    SIAM Journal on Numerical Analysis 50 (2), 398-417, 2012

  • A symmetric method for weakly imposing Dirichlet boundary conditions in embedded finite element meshes

    J Baiges, R Codina, F Henke, S Shahmiri, WA Wall

    International Journal for Numerical Methods in Engineering 90 (5), 636-658, 2012

  • Approximation of the inductionless MHD problem using a stabilized finite element method

    R Planas, S Badia, R Codina

    Journal of Computational Physics 230 (8), 2977-2996, 2011

  • The Fixed‐Mesh ALE approach for the numerical simulation of floating solids

    J Baiges, R Codina, H Coppola‐Owen

    International Journal for Numerical Methods in Fluids 67 (8), 1004-1023, 2011

  • A finite element dynamical nonlinear subscale approximation for the low Mach number flow equations

    M Avila, J Principe, R Codina

    Journal of Computational Physics 230 (22), 7988-8009, 2011

  • Mesh objective modeling of cracks using continuous linear strain and displacement interpolations

    M Cervera, M Chiumenti, R Codina

    International Journal for Numerical Methods in Engineering 87 (10), 962-987, 2011

  • On the stabilization parameter in the subgrid scale approximation of scalar convection–diffusion–reaction equations on distorted meshes

    J Principe, R Codina

    Computer methods in applied mechanics and engineering 199 (21), 1386-1402, 2010

  • Long-term stability estimates and existence of a global attractor in a finite element approximation of the Navier–Stokes equations with numerical subgrid scale modeling

    S Badia, R Codina, JV Gutiérrez-Santacreu

    SIAM Journal on Numerical Analysis 48 (3), 1013-1037, 2010

  • Finite element approximation of turbulent thermally coupled incompressible flows with numerical sub-grid scale modelling

    R Codina, J Principe, M Ávila

    International Journal of Numerical Methods for Heat & Fluid Flow 20 (5), 492-516, 2010

  • The fixed‐mesh ALE approach applied to solid mechanics and fluid–structure interaction problems

    J Baiges, R Codina

    International journal for numerical methods in engineering 81 (12), 1529-1557, 2010

  • Stabilized continuous and discontinuous Galerkin techniques for Darcy flow

    S Badia, R Codina

    Computer Methods in Applied Mechanics and Engineering 199 (25), 1654-1667, 2010

  • The dissipative structure of variational multiscale methods for incompressible flows

    J Principe, R Codina, F Henke

    Computer Methods in Applied Mechanics and Engineering 199 (13), 791-801, 2010

  • Mixed stabilized finite element methods in nonlinear solid mechanics: Part ii: Strain localization

    M Cervera, M Chiumenti, R Codina

    Computer Methods in Applied Mechanics and Engineering 199 (37), 2571-2589, 2010

  • Mathematical models for thermally coupled low speed flows

    J Principe, R Codina

    Advances in Theoretical and Applied Mechanics 2 (2), 93-112, 2009

  • Subscales on the element boundaries in the variational two-scale finite element method

    R Codina, J Principe, J Baiges

    Computer Methods in Applied Mechanics and Engineering 198 (5), 838-852, 2009

  • Finite element approximation of the three-field formulation of the Stokes problem using arbitrary interpolations

    R Codina

    SIAM Journal on Numerical Analysis 47 (1), 699-718, 2009

  • Approximate imposition of boundary conditions in immersed boundary methods

    R Codina, J Baiges

    International Journal for Numerical Methods in Engineering 80 (11), 1379-1405, 2009

  • On a multiscale approach to the transient Stokes problem: Dynamic subscales and anisotropic space–time discretization

    S Badia, R Codina

    Applied Mathematics and Computation 207 (2), 415-433, 2009

  • The fixed-mesh ALE approach for the numerical approximation of flows in moving domains

    R Codina, G Houzeaux, H Coppola-Owen, J Baiges

    Journal of Computational Physics 228 (5), 1591-1611, 2009

  • Unified stabilized finite element formulations for the Stokes and the Darcy problems

    S Badia, R Codina

    SIAM journal on Numerical Analysis 47 (3), 1971-2000, 2009

  • A stabilized finite element approximation of low speed thermally coupled flows

    J Principe, R Codina

    International Journal of Numerical Methods for Heat & Fluid Flow 18 (7/8 ..., 2008

  • Finite element approximation of the modified Boussinesq equations using a stabilized formulation

    R Codina, JM González‐Ondina, G Díaz‐Hernández, J Principe

    International Journal for Numerical Methods in Fluids 57 (9), 1249-1268, 2008

  • Finite element approximation of the hyperbolic wave equation in mixed form

    R Codina

    Computer Methods in Applied Mechanics and Engineering 197 (13), 1305-1322, 2008

  • Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales

    R Codina

    Applied Numerical Mathematics 58 (3), 264-283, 2008

  • An algebraic subgrid scale finite element method for the convected Helmholtz equation in two dimensions with applications in aeroacoustics

    O Guasch, R Codina

    Computer Methods in Applied Mechanics and Engineering 196 (45), 4672-4689, 2007

  • A finite element model for free surface flows on fixed meshes

    AH Coppola‐Owen, R Codina

    International Journal for Numerical Methods in Fluids 54 (10), 1151-1171, 2007

  • Convergence analysis of the FEM approximation of the first order projection method for incompressible flows with and without the inf-sup condition

    S Badia, R Codina

    Numerische Mathematik 107 (4), 533-557, 2007

  • On some fluid–structure iterative algorithms using pressure segregation methods. Application to aeroelasticity

    S Badia, R Codina

    International Journal for Numerical Methods in Engineering 72 (1), 46-71, 2007

  • Algebraic pressure segregation methods for the incompressible Navier-Stokes equations

    S Badia, R Codina

    Archives of Computational Methods in Engineering 15 (3), 1-52, 2007

  • Dynamic subscales in the finite element approximation of thermally coupled incompressible flows

    R Codina, J Principe

    International journal for numerical methods in fluids 54 (6‐8), 707-730, 2007

  • A finite element method for the solution of rotary pumps

    G Houzeaux, R Codina

    Computers & Fluids 36 (4), 667-679, 2007

  • Time dependent subscales in the stabilized finite element approximation of incompressible flow problems

    R Codina, J Principe, O Guasch, S Badia

    Computer Methods in Applied Mechanics and Engineering 196 (21), 2413-2430, 2007

  • Numerical comparison of CBS and SGS as stabilization techniques for the incompressible Navier–Stokes equations

    R Codina, H Coppola‐Owen, P Nithiarasu, CB Liu

    International Journal for Numerical Methods in Engineering 66 (10), 1672-1689, 2006

  • On some pressure segregation methods of fractional-step type for the finite element approximation of incompressible flow problems

    R Codina, S Badia

    Computer Methods in Applied Mechanics and Engineering 195 (23), 2900-2918, 2006

  • Stabilized finite element approximation of the stationary magneto-hydrodynamics equations

    R Codina, N Hernández-Silva

    Computational Mechanics 38 (4-5), 344-355, 2006

  • Analysis of a stabilized finite element approximation of the transient convection-diffusion equation using an ALE framework

    S Badia, R Codina

    SIAM Journal on Numerical Analysis 44 (5), 2159-2197, 2006

  • The Characteristic‐Based Split (CBS) scheme—a unified approach to fluid dynamics

    P Nithiarasu, R Codina, OC Zienkiewicz

    International Journal for Numerical Methods in Engineering 66 (10), 1514-1546, 2006

  • Improving Eulerian two‐phase flow finite element approximation with discontinuous gradient pressure shape functions

    AH Coppola‐Owen, R Codina

    International journal for numerical methods in fluids 49 (12), 1287-1304, 2005

  • A finite element model for the simulation of lost foam casting

    G Houzeaux, R Codina

    International journal for numerical methods in fluids 46 (2), 203-226, 2004

  • A stabilized finite element predictor–corrector scheme for the incompressible Navier–Stokes equations using a nodal‐based implementation

    R Codina, A Folch

    International Journal for Numerical Methods in Fluids 44 (5), 483-503, 2004

  • Error estimates for an operator-splitting method for incompressible flows

    J Blasco, R Codina

    Applied Numerical Mathematics 51 (1), 1-17, 2004

  • Approximation of the incompressible Navier–Stokes equations using orthogonal subscale stabilization and pressure segregation on anisotropic finite element meshes

    R Codina, O Soto

    Computer Methods in Applied Mechanics and Engineering 193 (15), 1403-1419, 2004

  • An iteration-by-subdomain overlapping Dirichlet/Robin domain decomposition method for advection–diffusion problems

    G Houzeaux, R Codina

    Journal of Computational and Applied Mathematics 158 (2), 243-276, 2003

  • A Chimera method based on a Dirichlet/Neumann (Robin) coupling for the Navier–Stokes equations

    G Houzeaux, R Codina

    Computer Methods in Applied Mechanics and Engineering 192 (31), 3343-3377, 2003

  • A numerical model to track two‐fluid interfaces based on a stabilized finite element method and the level set technique

    R Codina, O Soto

    International Journal for Numerical Methods in Fluids 40 (1‐2), 293-301, 2002

  • CBS versus GLS stabilization of the incompressible Navier–Stokes equations and the role of the time step as stabilization parameter

    R Codina, OC Zienkiewicz

    International Journal for Numerical Methods in Biomedical Engineering 18 (2 ..., 2002

  • Analysis of a stabilized finite element approximation of the transient convection-diffusion-reaction equation using orthogonal subscales

    R Codina, J Blasco

    Computing and Visualization in Science 4 (3), 167-174, 2002

  • Stabilized finite element approximation of transient incompressible flows using orthogonal subscales

    R Codina

    Computer Methods in Applied Mechanics and Engineering 191 (39), 4295-4321, 2002

  • Transmission conditions with constraints in finite element domain decomposition methods for flow problems

    G Houzeaux, R Codina

    International Journal for Numerical Methods in Biomedical Engineering 17 (3 ..., 2001

  • Space and time error estimates for a first order, pressure stabilized finite element method for the incompressible Navier–Stokes equations

    J Blasco, R Codina

    Applied Numerical Mathematics 38 (4), 475-497, 2001

  • Implementation of a stabilized finite element formulation for the incompressible Navier–Stokes equations based on a pressure gradient projection

    R Codina, J Blasco, GC Buscaglia, A Huerta

    International Journal for Numerical Methods in Fluids 37 (4), 419-444, 2001

  • A stabilized finite element method for generalized stationary incompressible flows

    R Codina

    Computer Methods in Applied Mechanics and Engineering 190 (20), 2681-2706, 2001

  • Pressure stability in fractional step finite element methods for incompressible flows

    R Codina

    Journal of Computational Physics 170 (1), 112-140, 2001

  • A nodal‐based implementation of a stabilized finite element method for incompressible flow problems

    R Codina

    International Journal for numerical methods in fluids 33 (5), 737-766, 2000

  • Fourier analysis of an equal‐order incompressible flow solver stabilized by pressure gradient projection

    GC Buscaglia, FG Basombrio, R Codina

    International journal for numerical methods in fluids 34 (1), 65-92, 2000

  • Analysis of a pressure-stabilized finite element approximation of the stationary Navier-Stokes equations

    R Codina, J Blasco

    Numerische Mathematik 87 (1), 59-81, 2000

  • On stabilized finite element methods for linear systems of convection–diffusion-reaction equations

    R Codina

    Computer Methods in Applied Mechanics and Engineering 188 (1), 61-82, 2000

  • Stabilized finite element method for the transient Navier–Stokes equations based on a pressure gradient projection

    R Codina, J Blasco

    Computer Methods in Applied Mechanics and Engineering 182 (3), 277-300, 2000

  • Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods

    R Codina

    Computer methods in applied mechanics and engineering 190 (13), 1579-1599, 2000

  • Numerical solution of the incompressible Navier–Stokes equations with Coriolis forces based on the discretization of the total time derivative

    R Codina

    Journal of Computational Physics 148 (2), 467-496, 1999

  • Finite element implementation of two‐equation and algebraic stress turbulence models for steady incompressible flows

    R Codina, O Soto

    International journal for numerical methods in fluids 30 (3), 309-333, 1999

  • The characteristic‐based‐split procedure: an efficient and accurate algorithm for fluid problems

    OC Zienkiewicz, P Nithiarasu, R Codina, M Vazquez, P Ortiz

    International Journal for Numerical Methods in Fluids 31 (1), 359-392, 1999

  • A numerical model for temporal variations during explosive central vent eruptions

    A Folch, J Martí, R Codina, M Vazquez

    Journal of Geophysical Research: Solid Earth 103 (B9), 20883-20899, 1998

  • Shock capturing viscosities for the general fluid mechanics algorithm

    P Nithiarasu, OC Zienkiewicz, BVK Sai, K Morgan, R Codina, M Vazquez

    International Journal for Numerical Methods in Fluids 28 (9), 1325-1353, 1998

  • A fractional-step method for the incompressible Navier-Stokes equations related to a predictor-multicorrector algorithm

    J Blasco Lorente, R Codina, A Huerta

    International Journal for Numerical Methods in Fluids 28 (10), 1391-1419, 1998

  • A general algorithm for compressible and incompressible flows. Part III: The semi‐implicit form

    R Codina, M Vázquez, OC Zienkiewicz

    International Journal for Numerical Methods in Fluids 27 (1‐4), 13-32, 1998

  • Comparison of some finite element methods for solving the diffusion-convection-reaction equation

    R Codina

    Computer Methods in Applied Mechanics and Engineering 156 (1-4), 185-210, 1998

  • Finite element solution of the Stokes problem with dominating Coriolis force

    R Codina, O Soto

    Computer Methods in Applied Mechanics and Engineering 142 (3-4), 215-234, 1997

  • A finite element formulation for the Stokes problem allowing equal velocity-pressure interpolation

    R Codina, J Blasco

    Computer Methods in Applied Mechanics and Engineering 143 (3-4), 373-391, 1997

  • Block-iterative algorithms for nonlinear coupled problems.

    M Cervera, R Codina

    CIMNE, 1996

  • SPLIT, CHARACTERISTIC BASED SEMI‐IMPLICIT ALGORITHM FOR LAMINAR/TURBULENT INCOMPRESSIBLE FLOWS

    OC Zienkiewicz, BVK Satya Sai, K Morgan, R Codina

    International Journal for Numerical Methods in Fluids 23 (8), 787-809, 1996

  • On the computational efficiency and implementation of block-iterative algorithms for nonlinear coupled problems

    M Cervera, R Codina, M Galindo

    Engineering computations 13 (6), 4-30, 1996

  • A general algorithm for compressible and incompressible flow—Part II. Tests on the explicit form

    OC Zienkiewicz, K Morgan, BVK Sai, R Codina, M Vasquez

    International Journal for Numerical Methods in Fluids 20 (8‐9), 887-913, 1995

  • A general algorithm for compressible and incompressible flow—Part I. the split, characteristic‐based scheme

    OC Zienkiewicz, R Codina

    International Journal for Numerical Methods in Fluids 20 (8‐9), 869-885, 1995

  • Mould filling simulation using finite elements

    R Codina, U Schäfer, E Oñate

    International Journal of Numerical Methods for Heat & Fluid Flow 4 (4), 291-310, 1994

  • Stability analysis of the forward Euler scheme for the convection‐diffusion equation using the SUPG formulation in space

    R Codina

    International journal for numerical methods in engineering 36 (9), 1445-1464, 1993

  • An iterative penalty method for the finite element solution of the stationary Navier-Stokes equations

    R Codina

    Computer methods in applied mechanics and engineering 110 (3-4), 237-262, 1993

  • A finite element formulation for the numerical solution of the convection-diffusion equation

    R Codina

    Centro Internacional de Métodos Numéricos en Ingeniería, 1993

  • A discontinuity-capturing crosswind-dissipation for the finite element solution of the convection-diffusion equation

    R Codina

    Computer Methods in Applied Mechanics and Engineering 110 (3-4), 325-342, 1993

  • A finite element model for incompressible flow problems

    R Codina

    Universitat Politècnica de Catalunya, 1992

  • The intrinsic time for the streamline upwind/Petrov-Galerkin formulation using quadratic elements

    R Codina, E Oñate, M Cervera

    Computer Methods in Applied Mechanics and Engineering 94 (2), 239-262, 1992

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