Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Enforcing the non‐negativity constraint and maximum principles for diffusion with decay on general computational grids

H. Nagarajan and K. B. Nakshatrala
International Journal for Numerical Methods in Fluids 67 (7) 820 (2011)
https://doi.org/10.1002/fld.2389

Convergence of a Discontinuous Galerkin Method for the Miscible Displacement Equation under Low Regularity

Beatrice M. Rivière and Noel J. Walkington
SIAM Journal on Numerical Analysis 49 (3) 1085 (2011)
https://doi.org/10.1137/090758908

An Analysis of a Broken $P_1$-Nonconforming Finite Element Method for Interface Problems

Do Y. Kwak, Kye T. Wee and Kwang S. Chang
SIAM Journal on Numerical Analysis 48 (6) 2117 (2010)
https://doi.org/10.1137/080728056

Black Box Multigrid with coarsening by a factor of three

J. E. Dendy and J. D. Moulton
Numerical Linear Algebra with Applications 17 (2-3) 577 (2010)
https://doi.org/10.1002/nla.705

Efficient Assembly of $H(\mathrm{div})$ and $H(\mathrm{curl})$ Conforming Finite Elements

Marie E. Rognes, Robert C. Kirby and Anders Logg
SIAM Journal on Scientific Computing 31 (6) 4130 (2010)
https://doi.org/10.1137/08073901X

Efficient algorithms for multiscale modeling in porous media

Mary F. Wheeler, Tim Wildey and Guangri Xue
Numerical Linear Algebra with Applications 17 (5) 771 (2010)
https://doi.org/10.1002/nla.742

A strongly conservative finite element method for the coupling of Stokes and Darcy flow

G. Kanschat and B. Rivière
Journal of Computational Physics 229 (17) 5933 (2010)
https://doi.org/10.1016/j.jcp.2010.04.021

A Composite Mixed Finite Element for Hexahedral Grids

Amel Sboui, Jérôme Jaffré and Jean Roberts
SIAM Journal on Scientific Computing 31 (4) 2623 (2009)
https://doi.org/10.1137/070703703

A splitting positive definite mixed element method for second‐order hyperbolic equations

Jiansong Zhang and Danping Yang
Numerical Methods for Partial Differential Equations 25 (3) 622 (2009)
https://doi.org/10.1002/num.20363

On the heterogeneous multiscale method with various macroscopic solvers

Zhangxin Chen
Nonlinear Analysis: Theory, Methods & Applications 71 (7-8) 3267 (2009)
https://doi.org/10.1016/j.na.2009.01.229

Implementation of a mortar mixed finite element method using a Multiscale Flux Basis

Benjamin Ganis and Ivan Yotov
Computer Methods in Applied Mechanics and Engineering 198 (49-52) 3989 (2009)
https://doi.org/10.1016/j.cma.2009.09.009

Coupling Stokes–Darcy Flow with Transport

Danail Vassilev and Ivan Yotov
SIAM Journal on Scientific Computing 31 (5) 3661 (2009)
https://doi.org/10.1137/080732146

Numerical study of natural superconvergence in least-squares finite element methods for elliptic problems

Runchang Lin and Zhimin Zhang
Applications of Mathematics 54 (3) 251 (2009)
https://doi.org/10.1007/s10492-009-0016-6

Coupling Biot and Navier–Stokes equations for modelling fluid–poroelastic media interaction

Santiago Badia, Annalisa Quaini and Alfio Quarteroni
Journal of Computational Physics 228 (21) 7986 (2009)
https://doi.org/10.1016/j.jcp.2009.07.019

A stabilized mixed finite element method for the first‐order form of advection–diffusion equation

Arif Masud and JaeHyuk Kwack
International Journal for Numerical Methods in Fluids 57 (9) 1321 (2008)
https://doi.org/10.1002/fld.1842

Mixed Finite Elements, Compatibility Conditions, and Applications

Ricardo G. Durán
Lecture Notes in Mathematics, Mixed Finite Elements, Compatibility Conditions, and Applications 1939 1 (2008)
https://doi.org/10.1007/978-3-540-78319-0_1

Stochastic collocation and mixed finite elements for flow in porous media

Benjamin Ganis, Hector Klie, Mary F. Wheeler, et al.
Computer Methods in Applied Mechanics and Engineering 197 (43-44) 3547 (2008)
https://doi.org/10.1016/j.cma.2008.03.025

Interior superconvergence in mortar and non-mortar mixed finite element methods on non-matching grids

Gergina Pencheva and Ivan Yotov
Computer Methods in Applied Mechanics and Engineering 197 (49-50) 4307 (2008)
https://doi.org/10.1016/j.cma.2008.05.010

Coupling Discontinuous Galerkin and Mixed Finite Element Discretizations using Mortar Finite Elements

Vivette Girault, Shuyu Sun, Mary F. Wheeler and Ivan Yotov
SIAM Journal on Numerical Analysis 46 (2) 949 (2008)
https://doi.org/10.1137/060671620

IMPROVED ACCURACY FOR ALTERNATING-DIRECTION METHODS FOR PARABOLIC EQUATIONS BASED ON REGULAR AND MIXED FINITE ELEMENTS

TODD ARBOGAST, CHIEH-SEN HUANG and SONG-MING YANG
Mathematical Models and Methods in Applied Sciences 17 (08) 1279 (2007)
https://doi.org/10.1142/S0218202507002285

Numerical solution of the acoustic wave equation using Raviart–Thomas elements

Eleanor W. Jenkins
Journal of Computational and Applied Mathematics 206 (1) 420 (2007)
https://doi.org/10.1016/j.cam.2006.08.003

Iteratively coupled mixed and Galerkin finite element methods for poro‐elasticity

Mary F. Wheeler and Xiuli Gai
Numerical Methods for Partial Differential Equations 23 (4) 785 (2007)
https://doi.org/10.1002/num.20258

A Multiscale Mortar Mixed Finite Element Method

Todd Arbogast, Gergina Pencheva, Mary F. Wheeler and Ivan Yotov
Multiscale Modeling & Simulation 6 (1) 319 (2007)
https://doi.org/10.1137/060662587

Locking-free Reissner–Mindlin elements without reduced integration

Douglas N. Arnold, Franco Brezzi, Richard S. Falk and L. Donatella Marini
Computer Methods in Applied Mechanics and Engineering 196 (37-40) 3660 (2007)
https://doi.org/10.1016/j.cma.2006.10.023

Multiscale methods for elliptic homogenization problems

Zhangxin Chen
Numerical Methods for Partial Differential Equations 22 (2) 317 (2006)
https://doi.org/10.1002/num.20099

Analysis of Discontinuous Finite Element Methods for Ground Water/Surface Water Coupling

Clint Dawson
SIAM Journal on Numerical Analysis 44 (4) 1375 (2006)
https://doi.org/10.1137/050639405

Crank–Nicolson least-squares Galerkin procedures for parabolic integro-differential equations

Hui Guo and Hongxing Rui
Applied Mathematics and Computation 180 (2) 622 (2006)
https://doi.org/10.1016/j.amc.2005.12.047

Characteristic‐mixed covolume methods for advection‐dominated diffusion problems

Zhangxin Chen, So‐Hsiang Chou and Do Young Kwak
Numerical Linear Algebra with Applications 13 (9) 677 (2006)
https://doi.org/10.1002/nla.492

New mixed finite volume methods for second order eliptic problems

Kwang Y. Kim
ESAIM: Mathematical Modelling and Numerical Analysis 40 (1) 123 (2006)
https://doi.org/10.1051/m2an:2006001

Mixed finite element methods for generalized Forchheimer flow in porous media

Eun‐Jae Park
Numerical Methods for Partial Differential Equations 21 (2) 213 (2005)
https://doi.org/10.1002/num.20035

A Family of Rectangular Mixed Elements with a Continuous Flux for Second Order Elliptic Problems

Todd Arbogast and Mary F. Wheeler
SIAM Journal on Numerical Analysis 42 (5) 1914 (2005)
https://doi.org/10.1137/S0036142903435247

A Discontinuous Petrov--Galerkin Method with Lagrangian Multipliers for Second Order Elliptic Problems

Paola Causin and Riccardo Sacco
SIAM Journal on Numerical Analysis 43 (1) 280 (2005)
https://doi.org/10.1137/S0036142903427871

Analysis of Finite Element Approximation of Evolution Problems in Mixed Form

Daniele Boffi and Lucia Gastaldi
SIAM Journal on Numerical Analysis 42 (4) 1502 (2004)
https://doi.org/10.1137/S0036142903431821

A Characterization of Hybridized Mixed Methods for Second Order Elliptic Problems

Bernardo Cockburn and Jayadeep Gopalakrishnan
SIAM Journal on Numerical Analysis 42 (1) 283 (2004)
https://doi.org/10.1137/S0036142902417893

Stability and convergence of mixed discontinuous finite element methods for second-order differential problems

H. Chen and Z. Chen
Journal of Numerical Mathematics 11 (4) (2003)
https://doi.org/10.1515/156939503322663449

Transparent boundary conditions for the shallow water equations with a mixed finite element formulation

Astrid Holstad and Ivar Lie
Applied Numerical Mathematics 44 (1-2) 109 (2003)
https://doi.org/10.1016/S0168-9274(02)00140-X

Balancing domain decomposition for mortar mixed finite element methods

Gergina Pencheva and Ivan Yotov
Numerical Linear Algebra with Applications 10 (1-2) 159 (2003)
https://doi.org/10.1002/nla.316

Third order nodal finite element methods with transverse and reduced integration for elliptic problems

J.-P. Hennart, E.H. Mund and E. del Valle
Applied Numerical Mathematics 46 (2) 209 (2003)
https://doi.org/10.1016/S0168-9274(03)00024-2

A new locking-free equilibrium mixed element for plane elasticity with continuous displacement interpolation

R. Nascimbene and P. Venini
Computer Methods in Applied Mechanics and Engineering 191 (17-18) 1843 (2002)
https://doi.org/10.1016/S0045-7825(01)00356-5

The discontinuous Petrov–Galerkin method for elliptic problems

Carlo L. Bottasso, Stefano Micheletti and Riccardo Sacco
Computer Methods in Applied Mechanics and Engineering 191 (31) 3391 (2002)
https://doi.org/10.1016/S0045-7825(02)00254-2

Superconvergence for the Gradient of Finite Element Approximations byL2Projections

BjOrn-Ove Heimsund, Xue-Cheng Tai and Junping Wang
SIAM Journal on Numerical Analysis 40 (4) 1263 (2002)
https://doi.org/10.1137/S003614290037410X

A New Superconvergence for Mixed Finite Element Approximations

Richard E. Ewing, Mingjun Liu and Junping Wang
SIAM Journal on Numerical Analysis 40 (6) 2133 (2002)
https://doi.org/10.1137/S0036142901391141

A Priori Error Estimates for Mixed Finite Element Approximations of the Acoustic Wave Equation

Eleanor W. Jenkins, Ba'eatrice Rivia`ere and Mary F. Wheeler
SIAM Journal on Numerical Analysis 40 (5) 1698 (2002)
https://doi.org/10.1137/S0036142901388068

A splitting positive definite mixed element method for miscible displacement of compressible flow in porous media

Danping Yang
Numerical Methods for Partial Differential Equations 17 (3) 229 (2001)
https://doi.org/10.1002/num.3

Numerical Treatment of Multiphase Flows in Porous Media

Zhangxin Chen and Richard E. Ewing
Lecture Notes in Physics, Numerical Treatment of Multiphase Flows in Porous Media 552 1 (2000)
https://doi.org/10.1007/3-540-45467-5_1

Multigrid on the interface for mortar mixed finite element methods for elliptic problems

Mary F. Wheeler and Ivan Yotov
Computer Methods in Applied Mechanics and Engineering 184 (2-4) 287 (2000)
https://doi.org/10.1016/S0045-7825(99)00232-7

Analysis of a Compositional Model for Fluid Flow in Porous Media

Guan Qin, Richard E. Ewing and Zhangxin Chen
SIAM Journal on Applied Mathematics 60 (3) 747 (2000)
https://doi.org/10.1137/S0036139998333427

Numerical Treatment of Multiphase Flows in Porous Media

Danping Yang
Lecture Notes in Physics, Numerical Treatment of Multiphase Flows in Porous Media 552 362 (2000)
https://doi.org/10.1007/3-540-45467-5_31

Mixed Finite Element Methods on Nonmatching Multiblock Grids

Todd Arbogast, Lawrence C. Cowsar, Mary F. Wheeler and Ivan Yotov
SIAM Journal on Numerical Analysis 37 (4) 1295 (2000)
https://doi.org/10.1137/S0036142996308447

Superconvergence of Mixed Finite Element Approximations over Quadrilaterals

Richard E. Ewing, Michael M. Liu and Junping Wang
SIAM Journal on Numerical Analysis 36 (3) 772 (1999)
https://doi.org/10.1137/S0036142997322801

Some least-squares Galerkin procedures for first-order time-dependent convection–diffusion system

Dan-ping Yang
Computer Methods in Applied Mechanics and Engineering 180 (1-2) 81 (1999)
https://doi.org/10.1016/S0045-7825(99)00050-X

Full-Order Convergence of a Mixed Finite Element Method for Fourth-Order Elliptic Equations

Jichun Li
Journal of Mathematical Analysis and Applications 230 (2) 329 (1999)
https://doi.org/10.1006/jmaa.1998.6209

Numerical approximation of head and flux covariances in three dimensions using mixed finite elements

Andrew I. James and Wendy D. Graham
Advances in Water Resources 22 (7) 729 (1999)
https://doi.org/10.1016/S0309-1708(98)00044-X

Expanded mixed finite element methods for quasilinear second order elliptic problems, II

Zhangxin Chen
ESAIM: Mathematical Modelling and Numerical Analysis 32 (4) 501 (1998)
https://doi.org/10.1051/m2an/1998320405011

Expanded mixed finite element methods for linear second-order elliptic problems, I

Zhangxin Chen
ESAIM: Mathematical Modelling and Numerical Analysis 32 (4) 479 (1998)
https://doi.org/10.1051/m2an/1998320404791

Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry

Todd Arobogast, Clint N. Dawson, Philip T. Keenan, Mary F. Wheeler and Ivan Yotov
SIAM Journal on Scientific Computing 19 (2) 404 (1998)
https://doi.org/10.1137/S1064827594264545

A characteristic mixed element method for displacement problems of compressible flow in porous media

Danping Yang
Science in China Series A: Mathematics 41 (8) 820 (1998)
https://doi.org/10.1007/BF02871665

Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences

Todd Arbogast, Mary F. Wheeler and Ivan Yotov
SIAM Journal on Numerical Analysis 34 (2) 828 (1997)
https://doi.org/10.1137/S0036142994262585

A non-mortar mixed finite element method for elliptic problems on non-matching multiblock grids

Todd Arbogast and Ivan Yotov
Computer Methods in Applied Mechanics and Engineering 149 (1-4) 255 (1997)
https://doi.org/10.1016/S0045-7825(97)00054-6

Fully Discrete Finite Element Analysis of Multiphase Flow in Groundwater Hydrology

Zhangxin Chen and Richard E. Ewing
SIAM Journal on Numerical Analysis 34 (6) 2228 (1997)
https://doi.org/10.1137/S0036142995290063

On the Stability of Pressure and Velocity Computations for Heterogeneous Reservoirs

Are Magnus Bruaset and Bjørn Fredrik Nielsen
SIAM Journal on Applied Mathematics 56 (4) 994 (1996)
https://doi.org/10.1137/S0036139994266694

On the coupling of boundary integral and mixed finite element methods

Salim Meddahi, Javier Valdés, Omar Menéndez and Pablo Pérez
Journal of Computational and Applied Mathematics 69 (1) 113 (1996)
https://doi.org/10.1016/0377-0427(95)00023-2

A Nonlinear Mixed Finite Element Method for a Degenerate Parabolic Equation Arising in Flow in Porous Media

Todd Arbogast and Mary F. Wheeler
SIAM Journal on Numerical Analysis 33 (4) 1669 (1996)
https://doi.org/10.1137/S0036142994266728

Efficient Higher Order Nodal Finite Element Formulations for Neutron Multigroup Diffusion Equations

J. P. Hennart, E. M. Malambu, E. H. Mund and E. del Valle
Nuclear Science and Engineering 124 (1) 97 (1996)
https://doi.org/10.13182/NSE96-A24227

Interior penalty preconditioners for mixed finite element approximations of elliptic problems

Torgeir Rusten, Panayot Vassilevski and Ragnar Winther
Mathematics of Computation 65 (214) 447 (1996)
https://doi.org/10.1090/S0025-5718-96-00720-X

Domain decomposition algorithms for mixed methods for second-order elliptic problems

Zhangxin Chen, Richard Ewing and Raytcho Lazarov
Mathematics of Computation 65 (214) 467 (1996)
https://doi.org/10.1090/S0025-5718-96-00703-X

Hierarchic and mixed‐interpolated finite elements for Reissner–Mindlin problems

T. Scapolla and L. Della Croce
Communications in Numerical Methods in Engineering 11 (7) 549 (1995)
https://doi.org/10.1002/cnm.1640110702

Finite Element Analysis of the One-Dimensional Full Drift-Diffusion Semiconductor Model

Zhangxin Chen
SIAM Journal on Numerical Analysis 32 (2) 455 (1995)
https://doi.org/10.1137/0732019