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:
Michel Fortin
RAIRO. Anal. numér., 11 4 (1977) 341-354
Published online: 2017-02-01
This article has been cited by the following article(s):
128 articles | Pages:
The Evolution of Finite Element Approaches in Reaction-Diffusion Modeling
Rohit Sharma and Om Prakash Yadav Archives of Computational Methods in Engineering (2025) https://doi.org/10.1007/s11831-025-10222-x
Robust Variational Physics-Informed Neural Networks
Sergio Rojas, Paweł Maczuga, Judit Muñoz-Matute, David Pardo and Maciej Paszyński Computer Methods in Applied Mechanics and Engineering 425 116904 (2024) https://doi.org/10.1016/j.cma.2024.116904
Optimal Pressure Recovery Using an Ultra-Weak Finite Element Method for the Pressure Poisson Equation and a Least-Squares Approach for the Gradient Equation
Douglas R. Q. Pacheco and Olaf Steinbach Computational Methods in Applied Mathematics 24 (4) 921 (2024) https://doi.org/10.1515/cmam-2021-0242
Anisotropic Weakly Over-Penalised Symmetric Interior Penalty Method for the Stokes Equation
Hiroki Ishizaka Journal of Scientific Computing 100 (2) (2024) https://doi.org/10.1007/s10915-024-02598-y
Proximal Galerkin: A Structure-Preserving Finite Element Method for Pointwise Bound Constraints
Brendan Keith and Thomas M. Surowiec Foundations of Computational Mathematics (2024) https://doi.org/10.1007/s10208-024-09681-8
The T-coercivity approach for mixed problems
Mathieu Barré and Patrick Ciarlet Comptes Rendus. Mathématique 362 (G10) 1051 (2024) https://doi.org/10.5802/crmath.590
Intersecting fractures in porous media: mathematical and numerical analysis
Laila Amir, Michel Kern, Zoubida Mghazli and Jean E. Roberts Applicable Analysis 102 (5) 1312 (2023) https://doi.org/10.1080/00036811.2021.1981878
Taylor-Hood Like Finite Elements for Nearly Incompressible Strain Gradient Elasticity Problems
Yulei Liao, Pingbing Ming and Yun Xu Journal of Scientific Computing 95 (1) (2023) https://doi.org/10.1007/s10915-023-02135-3
A staggered cell‐centered finite element method for Stokes problems with variable viscosity on general meshes
Nguyen Huu Du and Thanh Hai Ong Numerical Methods for Partial Differential Equations 39 (2) 1729 (2023) https://doi.org/10.1002/num.22952
The Augmented Lagrangian Method as a Framework for Stabilised Methods in Computational Mechanics
Erik Burman, Peter Hansbo and Mats G. Larson Archives of Computational Methods in Engineering 30 (4) 2579 (2023) https://doi.org/10.1007/s11831-022-09878-6
Numerical Analysis and Comparison of Four Stabilized Finite Element Methods for the Steady Micropolar Equations
Jingnan Liu and Demin Liu Entropy 24 (4) 454 (2022) https://doi.org/10.3390/e24040454
A low-degree strictly conservative finite element method for incompressible flows on general triangulations
Huilan Zeng, Chen-Song Zhang and Shuo Zhang The SMAI Journal of computational mathematics 8 225 (2022) https://doi.org/10.5802/smai-jcm.85
Error representation of the time-marching DPG scheme
Judit Muñoz-Matute, Leszek Demkowicz and David Pardo Computer Methods in Applied Mechanics and Engineering 391 114480 (2022) https://doi.org/10.1016/j.cma.2021.114480
Robust multigrid methods for nearly incompressible elasticity using macro elements
Patrick E Farrell, Lawrence Mitchell, L Ridgway Scott and Florian Wechsung IMA Journal of Numerical Analysis 42 (4) 3306 (2022) https://doi.org/10.1093/imanum/drab083
Multi-Resolution Localized Orthogonal Decomposition for Helmholtz Problems
Moritz Hauck and Daniel Peterseim Multiscale Modeling & Simulation 20 (2) 657 (2022) https://doi.org/10.1137/21M1414607
An abstract analysis framework for monolithic discretisations of poroelasticity with application to Hybrid High-Order methods
Lorenzo Botti, Michele Botti and Daniele A. Di Pietro Computers & Mathematics with Applications 91 150 (2021) https://doi.org/10.1016/j.camwa.2020.06.004
Minimal residual space-time discretizations of parabolic equations: Asymmetric spatial operators
Rob Stevenson and Jan Westerdiep Computers & Mathematics with Applications 101 107 (2021) https://doi.org/10.1016/j.camwa.2021.09.014
Local finite element approximation of Sobolev differential forms
Evan Gawlik, Michael J. Holst and Martin W. Licht ESAIM: Mathematical Modelling and Numerical Analysis 55 (5) 2075 (2021) https://doi.org/10.1051/m2an/2021034
The Hybrid High-Order Method for Polytopal Meshes
Daniele Antonio Di Pietro and Jérôme Droniou MS&A, The Hybrid High-Order Method for Polytopal Meshes 19 381 (2020) https://doi.org/10.1007/978-3-030-37203-3_8
Uniform preconditioners for problems of positive order
Rob Stevenson and Raymond van Venetië Computers & Mathematics with Applications 79 (12) 3516 (2020) https://doi.org/10.1016/j.camwa.2020.02.009
Staggered Taylor–Hood and Fortin elements for Stokes equations of pressure boundary conditions in Lipschitz domain
Zhijie Du, Huoyuan Duan and Wei Liu Numerical Methods for Partial Differential Equations 36 (1) 185 (2020) https://doi.org/10.1002/num.22425
High-order composite finite element exact sequences based on tetrahedral–hexahedral–prismatic–pyramidal partitions
Philippe R.B. Devloo, Omar Durán, Sônia M. Gomes and Mark Ainsworth Computer Methods in Applied Mechanics and Engineering 355 952 (2019) https://doi.org/10.1016/j.cma.2019.06.022
On the singular Neumann problem in linear elasticity
Miroslav Kuchta, Kent‐Andre Mardal and Mikael Mortensen Numerical Linear Algebra with Applications 26 (1) (2019) https://doi.org/10.1002/nla.2212
A stabilized mixed implicit Material Point Method for non-linear incompressible solid mechanics
I. Iaconeta, A. Larese, R. Rossi and E. Oñate Computational Mechanics 63 (6) 1243 (2019) https://doi.org/10.1007/s00466-018-1647-9
A stable enriched Galerkin element for the Stokes problem
Nabil Chaabane, Vivette Girault, Beatrice Riviere and Travis Thompson Applied Numerical Mathematics 132 1 (2018) https://doi.org/10.1016/j.apnum.2018.04.008
F. Auricchio, L. Beirão da Veiga, F. Brezzi and C. Lovadina 1 (2017) https://doi.org/10.1002/9781119176817.ecm2004
Encyclopedia of Computational Mechanics Second Edition
F. Auricchio, L. Beirão da Veiga, F. Brezzi and C. Lovadina Encyclopedia of Computational Mechanics Second Edition 1 (2017) https://doi.org/10.1002/9781119176817.ecm004
On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
Volker John, Alexander Linke, Christian Merdon, Michael Neilan and Leo G. Rebholz SIAM Review 59 (3) 492 (2017) https://doi.org/10.1137/15M1047696
A uniform discrete inf-sup inequality for finite element hydro-elastic models
George Avalos and Daniel Toundykov Evolution Equations and Control Theory 5 (4) 515 (2016) https://doi.org/10.3934/eect.2016017
A mixed nonoverlapping covolume method on quadrilateral grids for elliptic problems
Xiukun Zhao, Yanli Chen and Junliang Lv Journal of Computational and Applied Mathematics 292 23 (2016) https://doi.org/10.1016/j.cam.2015.06.025
A converse to Fortin's Lemma in Banach spaces
Alexandre Ern and Jean-Luc Guermond Comptes Rendus. Mathématique 354 (11) 1092 (2016) https://doi.org/10.1016/j.crma.2016.09.013
A Mixed Finite Element Method for the Stokes Equations Based on a Weakly Over-Penalized Symmetric Interior Penalty Approach
Andrew T. Barker and Susanne C. Brenner Journal of Scientific Computing 58 (2) 290 (2014) https://doi.org/10.1007/s10915-013-9733-9
A simple construction of a Fortin operator for the two dimensional Taylor–Hood element
Long Chen Computers & Mathematics with Applications 68 (10) 1368 (2014) https://doi.org/10.1016/j.camwa.2014.09.003
A finite element exterior calculus framework for the rotating shallow-water equations
C.J. Cotter and J. Thuburn Journal of Computational Physics 257 1506 (2014) https://doi.org/10.1016/j.jcp.2013.10.008
A robust Petrov–Galerkin discretisation of convection–diffusion equations
Dirk Broersen and Rob Stevenson Computers & Mathematics with Applications 68 (11) 1605 (2014) https://doi.org/10.1016/j.camwa.2014.06.019
On inf-sup conditions and projections in the theory of mixed finite-element methods
R. Z. Dautov Differential Equations 50 (7) 899 (2014) https://doi.org/10.1134/S0012266114070064
Projection stabilization of Lagrange multipliers for the imposition of constraints on interfaces and boundaries
Erik Burman Numerical Methods for Partial Differential Equations 30 (2) 567 (2014) https://doi.org/10.1002/num.21829
Numerical analysis of a four-field model for the approximation of a fluid obeying the power law or Carreau’s law
D. Sandri Japan Journal of Industrial and Applied Mathematics 31 (3) 633 (2014) https://doi.org/10.1007/s13160-014-0155-3
Mixed Finite Element Methods and Applications
Daniele Boffi, Franco Brezzi and Michel Fortin Springer Series in Computational Mathematics, Mixed Finite Element Methods and Applications 44 459 (2013) https://doi.org/10.1007/978-3-642-36519-5_8
Daniele Boffi, Franco Brezzi and Michel Fortin 44 265 (2013) https://doi.org/10.1007/978-3-642-36519-5_5
On the enhanced strain finite element method for incompressible linear elasticity
Xingding Chen, Qiya Hu and Junmin Xiao Applied Numerical Mathematics 72 131 (2013) https://doi.org/10.1016/j.apnum.2013.06.003
A consistent and stabilized continuous/discontinuous Galerkin method for fourth-order incompressible flow problems
A.G.B. Cruz, E.G. Dutra do Carmo and F.P. Duda Journal of Computational Physics 231 (16) 5469 (2012) https://doi.org/10.1016/j.jcp.2012.05.002
A New Class of Higher Order Mixed Finite Volume Methods for Elliptic Problems
Do Y. Kwak SIAM Journal on Numerical Analysis 50 (4) 1941 (2012) https://doi.org/10.1137/100812446
A new stabilized mixed finite-element method for Poisson equation based on two local Gauss integrations for linear element pair
Feng Shi, Jiaping Yu and Kaitai Li International Journal of Computer Mathematics 88 (11) 2293 (2011) https://doi.org/10.1080/00207160.2010.534466
Finite element approximation of eigenvalue problems
Daniele Boffi Acta Numerica 19 1 (2010) https://doi.org/10.1017/S0962492910000012
Symmetric Matrix Fields in the Finite Element Method
Gerard Awanou Symmetry 2 (3) 1375 (2010) https://doi.org/10.3390/sym2031375
Pressure projection stabilizations for Galerkin approximations of Stokes' and Darcy's problem
Erik Burman Numerical Methods for Partial Differential Equations 24 (1) 127 (2008) https://doi.org/10.1002/num.20243
Nonconforming, Anisotropic, Rectangular Finite Elements of Arbitrary Order for the Stokes Problem
Thomas Apel and Gunar Matthies SIAM Journal on Numerical Analysis 46 (4) 1867 (2008) https://doi.org/10.1137/060666652
Mathematical modelling and numerical solution of swelling of cartilaginous tissues. Part II: Mixed-hybrid finite element solution
Kamyar Malakpoor, Enrique F. Kaasschieter and Jacques M. Huyghe ESAIM: Mathematical Modelling and Numerical Analysis 41 (4) 679 (2007) https://doi.org/10.1051/m2an:2007037
On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes
Vincent Heuveline and Friedhelm Schieweck ESAIM: Mathematical Modelling and Numerical Analysis 41 (1) 1 (2007) https://doi.org/10.1051/m2an:2007005
Inf-sup stable nonconforming finite elements of higher order on quadrilaterals and hexahedra
Gunar Matthies ESAIM: Mathematical Modelling and Numerical Analysis 41 (5) 855 (2007) https://doi.org/10.1051/m2an:2007034
Convergence in the incompressible limit of finite element approximations based on the Hu-Washizu formulation
B. P. Lamichhane, B. D. Reddy and B. I. Wohlmuth Numerische Mathematik 104 (2) 151 (2006) https://doi.org/10.1007/s00211-006-0014-5
Analysis of some low-order nonconforming mixed finite elements for linear elasticity problem
Kwang Yeon Kim Numerical Methods for Partial Differential Equations 22 (3) 638 (2006) https://doi.org/10.1002/num.20114
AMGe---Coarsening Strategies and Application to the Oseen Equations
Markus Wabro SIAM Journal on Scientific Computing 27 (6) 2077 (2006) https://doi.org/10.1137/040610350
Maximum-norm stability of the finite element Stokes projection
V. Girault, R.H. Nochetto and R. Scott Journal de Mathématiques Pures et Appliquées 84 (3) 279 (2005) https://doi.org/10.1016/j.matpur.2004.09.017
Finite Element Methods and Their Applications
Scientific Computation, Finite Element Methods and Their Applications 363 (2005) https://doi.org/10.1007/3-540-28078-2_10
TWO NONCONFORMING QUADRILATERAL ELEMENTS FOR THE REISSNER–MINDLIN PLATE
PINGBING MING and ZHONG-CI SHI Mathematical Models and Methods in Applied Sciences 15 (10) 1503 (2005) https://doi.org/10.1142/S0218202505000868
Numerical Methods in Electromagnetics
F. Brezzi, L.D. Marini, S. Micheletti, et al. Handbook of Numerical Analysis, Numerical Methods in Electromagnetics 13 317 (2005) https://doi.org/10.1016/S1570-8659(04)13004-4
Inf-sup stable non-conforming finite elements of arbitrary order on triangles
Gunar Matthies and Lutz Tobiska Numerische Mathematik 102 (2) 293 (2005) https://doi.org/10.1007/s00211-005-0648-8
Ferdinando Auricchio, Franco Brezzi and Carlo Lovadina (2004) https://doi.org/10.1002/0470091355.ecm004
On the application of the P 1 mod element to incompressible flow problems
Petr Knobloch Computing and Visualization in Science 6 (4) 185 (2004) https://doi.org/10.1007/s00791-004-0127-2
Numerical Methods for Fluids (Part 3)
Roland Glowinski Handbook of Numerical Analysis, Numerical Methods for Fluids (Part 3) 9 3 (2003) https://doi.org/10.1016/S1570-8659(03)09003-3
An estimate of the Babuška–Brezzi inf–sup discrete stability constant for general linear Petrov–Galerkin finite element formulations (an estimate of the Babuška–Brezzi stability constant)
G. Tsamasphyros and S. Markolefas Applied Mathematics and Computation 144 (1) 107 (2003) https://doi.org/10.1016/S0096-3003(02)00395-8
Mixed finite volume methods on nonstaggered quadrilateral grids for elliptic problems
So-Hsiang Chou, Do Kwak and Kwang Kim Mathematics of Computation 72 (242) 525 (2002) https://doi.org/10.1090/S0025-5718-02-01426-6
A parallel domain decomposition algorithm of mixed element equation for second-order elliptic Dirichlet boundary value problem
Danping Yang Applied Mathematics and Computation 129 (2-3) 375 (2002) https://doi.org/10.1016/S0096-3003(01)00047-9
An improved Reissner–Mindlin triangular element
Duan Huo-Yuan and Liang Guo-Ping Computer Methods in Applied Mechanics and Engineering 191 (21-22) 2223 (2002) https://doi.org/10.1016/S0045-7825(01)00376-0
Multilevel One-Way Dissection Factorization
Alan George, Wei-Pai Tang and Ya Dan Wu SIAM Journal on Matrix Analysis and Applications 22 (3) 752 (2001) https://doi.org/10.1137/S0895479898332564
A General Framework for Constructing and Analyzing Mixed Finite Volume Methods on Quadrilateral Grids: The Overlapping Covolume Case
So-Hsiang Chou, Do Y. Kwak and Kwang Y. Kim SIAM Journal on Numerical Analysis 39 (4) 1170 (2001) https://doi.org/10.1137/S003614290037544X
Numerical Simulation of Unsteady Incompressible Flow (\em Re \protect\boldmath $\leq$ 9500) on the Curvilinear Half-Staggered Mesh
Alan George, Lan Chieh Huang, Wei-Pai Tang and Ya Dan Wu SIAM Journal on Scientific Computing 21 (6) 2331 (2000) https://doi.org/10.1137/S1064827598337099
Mixed Covolume Methods for Quasi-Linear Second-Order Elliptic Problems
Do Y. Kwak and Kwang Y. Kim SIAM Journal on Numerical Analysis 38 (4) 1057 (2000) https://doi.org/10.1137/S003614299935855X
A finite element method for the axisymmetric three-field Stokes system with a discontinuous pressure
J. H. Carneiro de Araujo and V. Ruas Numerical Methods for Partial Differential Equations 15 (6) 739 (1999) https://doi.org/10.1002/(SICI)1098-2426(199911)15:6<739::AID-NUM8>3.0.CO;2-R
An improved inf—sup condition for the spectral discretization of the Stokes problem in a cylinder
Christine Bernardi Computer Methods in Applied Mechanics and Engineering 175 (3-4) 267 (1999) https://doi.org/10.1016/S0045-7825(98)00357-0
Element-by-Element Construction of Wavelets Satisfying Stability and Moment Conditions
Wolfgang Dahmen and Rob Stevenson SIAM Journal on Numerical Analysis 37 (1) 319 (1999) https://doi.org/10.1137/S0036142997330949
Computational Models of Electromagnetic Resonators: Analysis of Edge Element Approximation
D. Boffi, P. Fernandes, L. Gastaldi and I. Perugia SIAM Journal on Numerical Analysis 36 (4) 1264 (1999) https://doi.org/10.1137/S003614299731853X
Superconvergent error estimates for a class of discretization methods for a coupled first-order system with discontinuous coefficients
Richard E. Ewing and Jian Shen Numerical Methods for Partial Differential Equations 15 (3) 267 (1999) https://doi.org/10.1002/(SICI)1098-2426(199905)15:3<267::AID-NUM1>3.0.CO;2-0
Compatible Spectral Approximations for the Velocity-Pressure-Stress Formulation of the Stokes Problem
M. I. Gerritsma and T. N. Phillips SIAM Journal on Scientific Computing 20 (4) 1530 (1999) https://doi.org/10.1137/S1064827597324846
UNIFORM INF–SUP CONDITIONS FOR THE SPECTRAL DISCRETIZATION OF THE STOKES PROBLEM
C. BERNARDI and Y. MADAY Mathematical Models and Methods in Applied Sciences 09 (03) 395 (1999) https://doi.org/10.1142/S0218202599000208
A stable finite element method for the axisymmetric three-field Stokes system
J.H.Carneiro de Araujo and V. Ruas Computer Methods in Applied Mechanics and Engineering 164 (3-4) 267 (1998) https://doi.org/10.1016/S0045-7825(98)00013-9
Error bounds for a fictitious domain method with Lagrange multiplier treatment on the boundary for a Dirichlet problem
Tsorng-Whay Pan Japan Journal of Industrial and Applied Mathematics 15 (1) 75 (1998) https://doi.org/10.1007/BF03167397
Some observations on mixed methods for fully nonlinear parabolic problems in divergence form
M.-Y. Kim, F.A. Milner and E.-J. Park Applied Mathematics Letters 9 (1) 75 (1996) https://doi.org/10.1016/0893-9659(95)00106-9
Handbook of Computational Fluid Mechanics
Max D. Gunzburger Handbook of Computational Fluid Mechanics 99 (1996) https://doi.org/10.1016/B978-012553010-1/50004-9
Error analysis of a fictitious domain method applied to a Dirichlet problem
V. Girault and R. Glowinski Japan Journal of Industrial and Applied Mathematics 12 (3) 487 (1995) https://doi.org/10.1007/BF03167240
Adaptive multigrid applied to a bipolar transistor problem
J. Molenaar Applied Numerical Mathematics 17 (1) 61 (1995) https://doi.org/10.1016/0168-9274(94)00061-K
Analysis of multilevel decomposition iterative methods for mixed finite element methods
R. E. Ewing and J. Wang ESAIM: Mathematical Modelling and Numerical Analysis 28 (4) 377 (1994) https://doi.org/10.1051/m2an/1994280403771
Sur l'approximation numérique des écoulements quasi-newtoniens dont la viscosité suit la loi puissance ou la loi de Carreau
D. Sandri ESAIM: Mathematical Modelling and Numerical Analysis 27 (2) 131 (1993) https://doi.org/10.1051/m2an/1993270201311
Substructure preconditioners for elliptic saddle point problems
Torgeir Rusten and Ragnar Winther Mathematics of Computation 60 (201) 23 (1993) https://doi.org/10.1090/S0025-5718-1993-1149293-0
An improved accuracy version of the mixed finite-element method for a second-order elliptic equation
R.R.P. van Nooyen Journal of Computational and Applied Mathematics 47 (1) 11 (1993) https://doi.org/10.1016/0377-0427(93)90087-R
Numerical analysis of a three-fields model for a quasi-Newtonian flow
J. Baranger, K. Najib and D. Sandri Computer Methods in Applied Mechanics and Engineering 109 (3-4) 281 (1993) https://doi.org/10.1016/0045-7825(93)90082-9
Multivariant finite elements for three‐dimensional simulation of viscous incompressible flows
Mahesh Gupta, Tai H. Kwon and Yogesh Jaluria International Journal for Numerical Methods in Fluids 14 (5) 557 (1992) https://doi.org/10.1002/fld.1650140505
L’élément $Q_1$-bulle/$Q_1$
P. Mons and G. Rogé ESAIM: Mathematical Modelling and Numerical Analysis 26 (4) 507 (1992) https://doi.org/10.1051/m2an/1992260405071
A new viewpoint on mixed elements
A. Bossavit Meccanica 27 (1) 3 (1992) https://doi.org/10.1007/BF00452998
Analysis of mixed finite element methods on locally refined grids
Richard E. Ewing and JunPing Wang Numerische Mathematik 63 (1) 183 (1992) https://doi.org/10.1007/BF01385855
Superconvergence and extrapolation for mixed finite element methods on rectangular domains
Jun Ping Wang Mathematics of Computation 56 (194) 477 (1991) https://doi.org/10.1090/S0025-5718-1991-1068807-0
Finite Element Methods (Part 1)
J.E. Roberts and J.-M. Thomas Handbook of Numerical Analysis, Finite Element Methods (Part 1) 2 523 (1991) https://doi.org/10.1016/S1570-8659(05)80041-9
3‐D flow analysis of non‐newtonian viscous fluids using “enriched” finite elements
Mahesh Gupta and Tai H. Kwon Polymer Engineering & Science 30 (22) 1420 (1990) https://doi.org/10.1002/pen.760302203
Superconvergence for rectangular mixed finite elements
Ricardo Dur�n Numerische Mathematik 58 (1) 287 (1990) https://doi.org/10.1007/BF01385626
Weighted inf-sup condition and pointwise error estimates for the Stokes problem
Ricardo G. Durán and Ricardo H. Nochetto Mathematics of Computation 54 (189) 63 (1990) https://doi.org/10.1090/S0025-5718-1990-0995211-2
A discourse on the stability conditions for mixed finite element formulations
Franco Brezzi and Klaus-Jürgen Bathe Computer Methods in Applied Mechanics and Engineering 82 (1-3) 27 (1990) https://doi.org/10.1016/0045-7825(90)90157-H
A finite element analysis of the steady laminar entrance flow in a 90° curved tube
F. N. Van De Vosse, A. A. Van Steenhoven, A. Segal and J. D. Janssen International Journal for Numerical Methods in Fluids 9 (3) 275 (1989) https://doi.org/10.1002/fld.1650090304
On the convergence of the mixed method of Crochet and Marchal for viscoelastic flows
M. Fortin and R. Pierre Computer Methods in Applied Mechanics and Engineering 73 (3) 341 (1989) https://doi.org/10.1016/0045-7825(89)90073-X
Pages:
1 to 100 of 128 articles