Documents published in Scipedia

  • A. Villota, R. Codina
    Rev. int. métodos numér. cálc. diseño ing. (2019). Vol. 35, (1), 6

    Abstract
    In this paper we present stabilized finite element formulations to solve the scalar convection-diffusion-reaction equation in the case of small diffusion. On the one hand, [...]

  • G. Houzeaux, R. Codina
    Monograph CIMNE (2002). M70

    Abstract
    We present a detailed description of the implementation of the DD methods in the numerical framework of finite elements. We present interpolation techniques for Dirichlet [...]

  • A. Villota, R. Codina
    Rev. int. métodos numér. cálc. diseño ing. (2018). Vol. 34, (1), 28

    Abstract
    In this article, we present approximations with finite elements of high order using stabilized variational multiscale methods to approximate the equations of motion of a fluid [...]

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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