EDP Sciences logo
Subscriber Authentication Point
Sciengine logo
Search
Menu
All issues R.A.I.R.O., 7 R3 (1973) 33-75 Article references

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:

A novel inf–sup–based volumetric constraint ratio and its implementation via mixed FE-meshfree formulation

Junchao Wu, Yingjie Chu and Yangtao Xu
Computer Methods in Applied Mechanics and Engineering 448 118489 (2026)
https://doi.org/10.1016/j.cma.2025.118489

A Posteriori Error Estimation Improved by a Reconstruction Operator for the Stokes Optimal Control Problem

Jingshi Li and Jiachuan Zhang
Numerical Methods for Partial Differential Equations 42 (1) (2026)
https://doi.org/10.1002/num.70072

An Immersed Finite Element Method for Anisotropic Elliptic Interface Problems with Nonhomogeneous Jump Conditions

Haifeng Ji and Zhilin Li
Journal of Scientific Computing 106 (1) (2026)
https://doi.org/10.1007/s10915-025-03155-x

Truncated Gegenbauer-Hermite weighted approach for the enrichment of the Crouzeix-Raviart finite element

Francesco Dell’Accio, Allal Guessab, Gradimir V. Milovanović and Federico Nudo
BIT Numerical Mathematics 65 (2) (2025)
https://doi.org/10.1007/s10543-025-01069-6

Error analysis for a Crouzeix–Raviart approximation of the obstacle problem

Sören Bartels and Alex Kaltenbach
Journal of Numerical Mathematics (2025)
https://doi.org/10.1515/jnma-2025-0036

On the choice of finite element for applications in geodynamics – Part 2: A comparison of simplex and hypercube elements

Cedric Thieulot and Wolfgang Bangerth
Solid Earth 16 (6) 457 (2025)
https://doi.org/10.5194/se-16-457-2025

Robust And Optimal Mixed Methods For A Fourth-Order Elliptic Singular Perturbation Problem

Xuehai Huang and Zheqian Tang
Journal of Scientific Computing 105 (3) (2025)
https://doi.org/10.1007/s10915-025-03101-x

Reconstructing algebraic functions from a nonconforming exponential weighted enriched finite element

Francesco Dell’Accio, Allal Guessab, Gradimir V. Milovanović and Federico Nudo
Journal of Computational and Applied Mathematics 466 116603 (2025)
https://doi.org/10.1016/j.cam.2025.116603

Discrete de Rham complex involving a discontinuous finite element space for velocities: the case of periodic straight triangular and Cartesian meshes

Vincent Perrier
Annales Henri Lebesgue 8 417 (2025)
https://doi.org/10.5802/ahl.239

Constraining 2D Hydrogeological Inversion With 3D Lithological Data

D. Rambourg, P. Ackerer and W. Nouaim
Water Resources Research 61 (12) (2025)
https://doi.org/10.1029/2025WR040151

Description and Convergence Order Analysis of the Finite Element‐Volume Spatial Discretization Method

Maria Adela Puscas, Pierre‐Emmanuel Angeli, Nathalie Nouaime and Erell Jamelot
International Journal for Numerical Methods in Fluids (2025)
https://doi.org/10.1002/fld.5399

A nonconforming P3+B4 and discontinuous P2 mixed finite element on tetrahedral grids

Xuejun Xu and Shangyou Zhang
Advances in Computational Mathematics 51 (4) (2025)
https://doi.org/10.1007/s10444-025-10244-w

A comparative analysis of the flow in a rod bundle with two guide-tubes and mixing grids, URANS simulation and Wall-Modeled LES of the ALAIN experiment

Antoine Michel, André Bergeron and Maria Adela Puscas
Nuclear Engineering and Design 441 114115 (2025)
https://doi.org/10.1016/j.nucengdes.2025.114115

A Geometric Multigrid Solver for the Incompressible Navier–Stokes Equations Using Discretely Divergence‐Free Finite Elements in 3D

Christoph Lohmann
International Journal for Numerical Methods in Fluids 97 (12) 1609 (2025)
https://doi.org/10.1002/fld.70008

A Second-Order Reconstruction for the Weak Galerkin Finite Element Method of Lowest Order

Weizhang Huang and Zhuoran Wang
Journal of Scientific Computing 104 (3) (2025)
https://doi.org/10.1007/s10915-025-03001-0

Guaranteed Lower and Upper Bounds for Eigenvalues of Second Order Elliptic Operators in any Dimension

Jun Hu and Rui Ma
Computational Methods in Applied Mathematics 25 (4) 863 (2025)
https://doi.org/10.1515/cmam-2024-0168

Discrete Helmholtz Decompositions of Piecewise Constant and Piecewise Affine Vector and Tensor Fields

Philipp Bringmann, Jonas W. Ketteler and Mira Schedensack
Foundations of Computational Mathematics 25 (2) 417 (2025)
https://doi.org/10.1007/s10208-024-09642-1

A dilatant visco-elasto-viscoplasticity model with globally continuous tensile cap: stable two-field mixed formulation

Anton A. Popov, Nicolas Berlie and Boris J. P. Kaus
Geoscientific Model Development 18 (19) 7035 (2025)
https://doi.org/10.5194/gmd-18-7035-2025

Convergence analysis for a fully-discrete finite element approximation of the unsteady $$p(\cdot ,\cdot )$$-Navier–Stokes equations

Luigi C. Berselli and Alex Kaltenbach
Numerische Mathematik 157 (2) 573 (2025)
https://doi.org/10.1007/s00211-025-01450-1

On The Sharpness of a Korn’s Inequality For Piecewise $$H^1$$ Space and Its Applications

Qingguo Hong, Young-Ju Lee and Jinchao Xu
Journal of Scientific Computing 102 (1) (2025)
https://doi.org/10.1007/s10915-024-02724-w

Inf‐Sup Stable Non‐Conforming Finite Elements on Tetrahedra With Second‐ and Third‐Order Accuracy

Loïc Balazi, Grégoire Allaire, Pierre Jolivet and Pascal Omnes
Numerical Methods for Partial Differential Equations 41 (6) (2025)
https://doi.org/10.1002/num.70057

STABILIZED TWO-GRID DISCRETIZATIONS OF LOCKING FREE FOR THE ELASTICITY EIGENVALUE PROBLEM

Xuqing Zhang, Yidu Yang and Hai Bi
Journal of Applied Analysis & Computation 14 (4) 1831 (2024)
https://doi.org/10.11948/20220048

Stability of a continuous/discrete sensitivity model for the Navier–Stokes equations

N. Nouaime, B. Després, M. A. Puscas and C. Fiorini
International Journal for Numerical Methods in Fluids 96 (12) 1883 (2024)
https://doi.org/10.1002/fld.5324

Stable and locally mass- and momentum-conservative control-volume finite-element schemes for the Stokes problem

Martin Schneider and Timo Koch
Computer Methods in Applied Mechanics and Engineering 420 116723 (2024)
https://doi.org/10.1016/j.cma.2023.116723

A second-order convergent nonconforming polynomial stokes element on quadrilateral meshes

Yuan Bao, Sibo Yang, Zhaoliang Meng, Chaobin Liu and Zhongxuan Luo
Computational and Applied Mathematics 43 (6) (2024)
https://doi.org/10.1007/s40314-024-02842-z

A curl preserving finite volume scheme by space velocity enrichment. Application to the low Mach number accuracy problem

Jonathan Jung and Vincent Perrier
Journal of Computational Physics 113252 (2024)
https://doi.org/10.1016/j.jcp.2024.113252

Discontinuous Galerkin methods for Stokes equations under power law slip boundary condition: a priori analysis

Djoko Kamdem Jules, Gidey Hagos, Koko Jonas and Sayah Toni
Calcolo 61 (1) (2024)
https://doi.org/10.1007/s10092-023-00563-z

Superconvergence of unfitted Rannacher-Turek nonconforming element for elliptic interface problems

Xiaoxiao He, Yanping Chen, Haifeng Ji and Haijin Wang
Applied Numerical Mathematics (2024)
https://doi.org/10.1016/j.apnum.2024.05.016

Two-Order Superconvergent CDG Finite Element Method for the Heat Equation on Triangular and Tetrahedral Meshes

Xiu Ye and Shangyou Zhang
Communications on Applied Mathematics and Computation (2024)
https://doi.org/10.1007/s42967-024-00444-4

hp-Multigrid Preconditioner for a Divergence-Conforming HDG Scheme for the Incompressible Flow Problems

Guosheng Fu and Wenzheng Kuang
Journal of Scientific Computing 100 (1) (2024)
https://doi.org/10.1007/s10915-024-02568-4

A Staggered Scheme for the Compressible Euler Equations on General 3D Meshes

Aubin Brunel, Raphaèle Herbin and Jean-Claude Latché
Journal of Scientific Computing 100 (2) (2024)
https://doi.org/10.1007/s10915-024-02560-y

Analysis of a $$\varvec{P}_1\oplus \varvec{RT}_0$$ finite element method for linear elasticity with Dirichlet and mixed boundary conditions

Hongpeng Li, Xu Li and Hongxing Rui
Advances in Computational Mathematics 50 (1) (2024)
https://doi.org/10.1007/s10444-024-10107-w

A New Immersed Finite Element Method for Two-Phase Stokes Problems Having Discontinuous Pressure

Gwanghyun Jo and Do Young Kwak
Computational Methods in Applied Mathematics 24 (1) 49 (2024)
https://doi.org/10.1515/cmam-2022-0122

A semi‐hybrid‐mixed method for Stokes–Brinkman–Darcy flows with H(div)‐velocity fields

Pablo G. S. Carvalho, Philippe R.B. Devloo and Sônia M. Gomes
International Journal for Numerical Methods in Engineering 125 (1) (2024)
https://doi.org/10.1002/nme.7363

Pressure-robust enriched Galerkin methods for the Stokes equations

Xiaozhe Hu, Seulip Lee, Lin Mu and Son-Young Yi
Journal of Computational and Applied Mathematics 436 115449 (2024)
https://doi.org/10.1016/j.cam.2023.115449

A DG Method for the Stokes Equations on Tensor Product Meshes with $$[P_k]^d-P_{k-1}$$ Element

Lin Mu, Xiu Ye, Shangyou Zhang and Peng Zhu
Communications on Applied Mathematics and Computation 6 (4) 2431 (2024)
https://doi.org/10.1007/s42967-022-00243-9

Parameter-robust preconditioners for Biot’s model

Carmen Rodrigo, Francisco J. Gaspar, James Adler, Xiaozhe Hu, Peter Ohm and Ludmil Zikatanov
SeMA Journal 81 (1) 51 (2024)
https://doi.org/10.1007/s40324-023-00336-2

Explicit A Posteriori Error Representation for Variational Problems and Application to TV-Minimization

Sören Bartels and Alex Kaltenbach
Foundations of Computational Mathematics (2024)
https://doi.org/10.1007/s10208-024-09676-5

A super-convergent quasi-discontinuous Galerkin method for approximating inertia-gravity and Rossby waves in geophysical flows

Daniel Y. Le Roux
Journal of Computational Physics 113183 (2024)
https://doi.org/10.1016/j.jcp.2024.113183

Mixed displacement–pressure formulations and suitable finite elements for multimaterial problems with compressible and incompressible models

Chennakesava Kadapa
Computer Methods in Applied Mechanics and Engineering 432 117354 (2024)
https://doi.org/10.1016/j.cma.2024.117354

A low-cost, penalty parameter-free, and pressure-robust enriched Galerkin method for the Stokes equations

Seulip Lee and Lin Mu
Computers & Mathematics with Applications 166 51 (2024)
https://doi.org/10.1016/j.camwa.2024.04.023

Analysis and Numerical Approximation of Energy-Variational Solutions to the Ericksen–Leslie Equations

Robert Lasarzik and Maximilian E. V. Reiter
Acta Applicandae Mathematicae 184 (1) (2023)
https://doi.org/10.1007/s10440-023-00563-9

Numerical comparison of three a posteriori error estimators for nonconforming finite element method

B. Achchab, A. Agouzal, K. Bouihat and A. Majdoubi
Moroccan Journal of Pure and Applied Analysis 9 (1) 1 (2023)
https://doi.org/10.2478/mjpaa-2023-0001

Convergence and optimality of an adaptive modified weak Galerkin finite element method

Xie Yingying, Shuhao Cao, Long Chen and Liuqiang Zhong
Numerical Methods for Partial Differential Equations 39 (5) 3847 (2023)
https://doi.org/10.1002/num.23027

Nonconforming Finite Element Methods of Order Two and Order Three for the Stokes Flow in Three Dimensions

Wei Chen, Jun Hu and Min Zhang
Journal of Scientific Computing 97 (1) (2023)
https://doi.org/10.1007/s10915-023-02317-z

Divergence-Conforming Velocity and Vorticity Approximations for Incompressible Fluids Obtained with Minimal Facet Coupling

J. Gopalakrishnan, L. Kogler, P. L. Lederer and J. Schöberl
Journal of Scientific Computing 95 (3) (2023)
https://doi.org/10.1007/s10915-023-02203-8

Enrichment strategies for the simplicial linear finite elements

Francesco Dell’Accio, Filomena Di Tommaso, Allal Guessab and Federico Nudo
Applied Mathematics and Computation 451 128023 (2023)
https://doi.org/10.1016/j.amc.2023.128023

Error Analysis of Nonconforming Virtual Element Method for Stokes Problem with Low Regularity

Tongli Wang and Jikun Zhao
Taiwanese Journal of Mathematics 27 (4) (2023)
https://doi.org/10.11650/tjm/230205

A stabilized multiple time step method for coupled Stokes-Darcy flows and transport model

Jingyuan Zhang, Ruikun Zhang and Xue Lin
AIMS Mathematics 8 (9) 21406 (2023)
https://doi.org/10.3934/math.20231091

A subspace of linear nonconforming finite element for nearly incompressible elasticity and Stokes flow

Shangyou Zhang
Journal of Numerical Mathematics 31 (3) 157 (2023)
https://doi.org/10.1515/jnma-2022-0010

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

A posteriori error estimates for the Large Eddy Simulation applied to incompressible fluids

Ghina Nassreddine, Pascal Omnes and Toni Sayah
ESAIM: Mathematical Modelling and Numerical Analysis 57 (4) 2159 (2023)
https://doi.org/10.1051/m2an/2023039

A novel technique for implementing the finite element method in a shallow water equation

Putu Veri Swastika, Muhammad Fakhruddin, Sofihara Al Hazmy, Siti Fatimah and Amaury de Souza
MethodsX 11 102425 (2023)
https://doi.org/10.1016/j.mex.2023.102425

Homogenization of fluid saturated double porosity media with a new type of the contrast in the Biot mesoscopic model

Eduard Rohan, Vu-Hieu Nguyen and Salah Naili
Applied Mathematical Modelling (2023)
https://doi.org/10.1016/j.apm.2023.10.008

The effect of temperature-dependent material properties on simple thermal models of subduction zones

Iris van Zelst, Cedric Thieulot and Timothy J. Craig
Solid Earth 14 (7) 683 (2023)
https://doi.org/10.5194/se-14-683-2023

On numerical approximations to fluid–structure interactions involving compressible fluids

Sebastian Schwarzacher and Bangwei She
Numerische Mathematik 151 (1) 219 (2022)
https://doi.org/10.1007/s00211-022-01275-2

Implementation of subsurface transport processes in the low-dimensional integrated hydrological model NIHM

Mouna Chaguer, Sylvain Weill, Philippe Ackerer and Frederick Delay
Journal of Hydrology 609 127696 (2022)
https://doi.org/10.1016/j.jhydrol.2022.127696

Non-standard Discretisation Methods in Solid Mechanics

Sören Bartels, Marijo Milicevic, Marita Thomas, Sven Tornquist and Nico Weber
Lecture Notes in Applied and Computational Mechanics, Non-standard Discretisation Methods in Solid Mechanics 98 505 (2022)
https://doi.org/10.1007/978-3-030-92672-4_17

A robust upwind mixed hybrid finite element method for transport in variably saturated porous media

Anis Younes, Hussein Hoteit, Rainer Helmig and Marwan Fahs
Hydrology and Earth System Sciences 26 (20) 5227 (2022)
https://doi.org/10.5194/hess-26-5227-2022

Quasi-optimal Nonconforming Approximation of Elliptic PDEs with Contrasted Coefficients and $$H^{1+{r}}$$, $${r}>0$$, Regularity

Alexandre Ern and Jean-Luc Guermond
Foundations of Computational Mathematics 22 (5) 1273 (2022)
https://doi.org/10.1007/s10208-021-09527-7

Discretization of Sea Ice Dynamics in the Tangent Plane to the Sphere by a CD‐Grid‐Type Finite Element

Carolin Mehlmann and Oliver Gutjahr
Journal of Advances in Modeling Earth Systems 14 (12) (2022)
https://doi.org/10.1029/2022MS003010

A virtual element generalization on polygonal meshes of the Scott-Vogelius finite element method for the 2-D Stokes problem

Gianmarco Manzini and Annamaria Mazzia
Journal of Computational Dynamics 9 (2) 207 (2022)
https://doi.org/10.3934/jcd.2021020

Three-dimensional hydrogeological parametrization using sparse piezometric data

Dimitri Rambourg, Raphaël Di Chiara and Philippe Ackerer
Hydrology and Earth System Sciences 26 (23) 6147 (2022)
https://doi.org/10.5194/hess-26-6147-2022

A posteriori error analysis of an enriched Galerkin method of order one for the Stokes problem

Vivette Girault, María González and Frédéric Hecht
Journal of Numerical Mathematics 30 (2) 85 (2022)
https://doi.org/10.1515/jnma-2020-0100

A Sequentially- Hybridized Locally Conservative Non-conforming Finite Element Scheme for Two-phase Flow Simulation through Heterogeneous Porous Media

Mehdi Jamei, Mehdi Mosharaf-Dehkordi and Hamid Reza Ghafouri
Advances in Water Resources 162 104155 (2022)
https://doi.org/10.1016/j.advwatres.2022.104155

A Two-Level Nonconforming Rotated Quadrilateral Finite Element Method for the Stationary Navier–Stokes Equations

Weijun Tian, Liquan Mei, Yinnian He and M.I. Herreros
Mathematical Problems in Engineering 2022 1 (2022)
https://doi.org/10.1155/2022/7849163

Basix: a runtime finite element basis evaluation library

Matthew W. Scroggs, Igor A. Baratta, Chris N. Richardson and Garth N. Wells
Journal of Open Source Software 7 (73) 3982 (2022)
https://doi.org/10.21105/joss.03982

Quasi-Optimal and Pressure Robust Discretizations of the Stokes Equations by Moment- and Divergence-Preserving Operators

Christian Kreuzer, Rüdiger Verfürth and Pietro Zanotti
Computational Methods in Applied Mathematics 21 (2) 423 (2021)
https://doi.org/10.1515/cmam-2020-0023

Simulating Linear Kinematic Features in Viscous‐Plastic Sea Ice Models on Quadrilateral and Triangular Grids With Different Variable Staggering

C. Mehlmann, S. Danilov, M. Losch, J. F. Lemieux, N. Hutter, T. Richter, P. Blain, E. C. Hunke and P. Korn
Journal of Advances in Modeling Earth Systems 13 (11) (2021)
https://doi.org/10.1029/2021MS002523

A Priori and a Posteriori Error Analysis of the Crouzeix–Raviart and Morley FEM with Original and Modified Right-Hand Sides

Carsten Carstensen and Neela Nataraj
Computational Methods in Applied Mathematics 21 (2) 289 (2021)
https://doi.org/10.1515/cmam-2021-0029

A conforming-nonconforming mixed immersed finite element method for unsteady Stokes equations with moving interfaces

Derrick Jones and Xu Zhang
Electronic Research Archive 29 (5) 3171 (2021)
https://doi.org/10.3934/era.2021032

Rankine-vortex model based assessment of CFD methods for simulating the effect of gas entrainment observed in the hot-pool of sodium coold fast breeder reactors

H. Bhatia, U. Bieder and D. Guenadou
Progress in Nuclear Energy 137 103794 (2021)
https://doi.org/10.1016/j.pnucene.2021.103794

A Gradient Discretisation Method for Anisotropic Reaction–Diffusion Models with Applications to the Dynamics of Brain Tumors

Yahya Alnashri and Hasan Alzubaidi
Computational Methods in Applied Mathematics 21 (4) 753 (2021)
https://doi.org/10.1515/cmam-2020-0081

Development of Pressure-Robust Discontinuous Galerkin Finite Element Methods for the Stokes Problem

Lin Mu, Xiu Ye and Shangyou Zhang
Journal of Scientific Computing 89 (1) (2021)
https://doi.org/10.1007/s10915-021-01634-5

Pressure-robust error estimate of optimal order for the Stokes equations: domains with re-entrant edges and anisotropic mesh grading

Thomas Apel and Volker Kempf
Calcolo 58 (2) (2021)
https://doi.org/10.1007/s10092-021-00402-z

NUMERICAL APPROXIMATION OF THE ELLIPTIC EIGENVALUE PROBLEM BY STABILIZED NONCONFORMING FINITE ELEMENT METHOD

Zhifeng Weng, Shuying Zhai, Yuping Zeng and Xiaoqiang Yue
Journal of Applied Analysis & Computation 11 (3) 1161 (2021)
https://doi.org/10.11948/20200025

Polyhedral Methods in Geosciences

Jérôme Droniou, Robert Eymard, Thierry Gallouët and Raphaèle Herbin
SEMA SIMAI Springer Series, Polyhedral Methods in Geosciences 27 1 (2021)
https://doi.org/10.1007/978-3-030-69363-3_1

A Robust Finite Element Method for Elastic Vibration Problems

Yuling Guo and Jianguo Huang
Computational Methods in Applied Mathematics 20 (3) 481 (2020)
https://doi.org/10.1515/cmam-2018-0197