EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: M2AN, 39 6 (2005) 1203-1249 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:

The low-rank tensor-train finite difference method for three-dimensional parabolic equations

Gianmarco Manzini and Tommaso Sorgente
Mathematics and Computers in Simulation 241 591 (2026)
https://doi.org/10.1016/j.matcom.2025.08.027

Adaptive finite volume schemes for anisotropic heterogeneous diffusion problems on arbitary convex and nonconvex meshes

Zaroual Bazirha, Lahcen Azrar and Ateq Ahmed AlGhamedi
Computational and Applied Mathematics 44 (3) (2025)
https://doi.org/10.1007/s40314-025-03087-0

3D Scharfetter-Gummel scheme for a coupled convection-diffusion system in anisotropic porous media

Moha Aberrah, El Houssaine Quenjel, Patrick Perré and Mohamed Rhoudaf
Computational and Applied Mathematics 44 (8) (2025)
https://doi.org/10.1007/s40314-025-03327-3

Finite volume discretization of curl-curl operator to compute magnetic field in low frequency approximation

Wayne Poirier, Mohamed Boubekeur and Abelin Kameni
COMPEL - The international journal for computation and mathematics in electrical and electronic engineering (2025)
https://doi.org/10.1108/COMPEL-10-2024-0429

Positivity-preserving DDFV scheme for compressible two-phase flow in porous media

Thomas Crozon, El Houssaine Quenjel and Mazen Saad
Computers & Mathematics with Applications 194 110 (2025)
https://doi.org/10.1016/j.camwa.2025.06.007

DDFV scheme for nonlinear parabolic reaction-diffusion problems on general meshes

Z. Bazirha and L. Azrar
Mathematical Modeling and Computing 11 (1) 96 (2024)
https://doi.org/10.23939/mmc2024.01.096

Application of the 2D diamond scheme to predict the macroscopic thermal conductivity of a three-phase composite with local anisotropy directions

El-Houssaine Quenjel and Patrick Perré
Computers & Mathematics with Applications 163 226 (2024)
https://doi.org/10.1016/j.camwa.2024.03.033

A nonlinear finite volume element method preserving the discrete maximum principle for heterogeneous anisotropic diffusion equations

Dan Wu, Junliang Lv and Zhiqiang Sheng
Journal of Computational and Applied Mathematics 451 116023 (2024)
https://doi.org/10.1016/j.cam.2024.116023

A New Second-order Maximum-principle-preserving Finite-volume Method for Flow Problems Involving Discontinuous Coefficients

Abdou Njifenjou, Abel Toudna Mansou and Moussa Sali
American Journal of Applied Mathematics 12 (4) 91 (2024)
https://doi.org/10.11648/j.ajam.20241204.12

On the study of three-dimensional compressible Navier–Stokes equations

Mohamed Abdelwahed, Rabe Bade, Hedia Chaker and Maatoug Hassine
Boundary Value Problems 2024 (1) (2024)
https://doi.org/10.1186/s13661-024-01893-9

Nodal discrete duality numerical scheme for nonlinear diffusion problems on general meshes

Boris Andreianov and El Houssaine Quenjel
IMA Journal of Numerical Analysis 44 (3) 1597 (2024)
https://doi.org/10.1093/imanum/drad041

Structure preservation in high-order hybrid discretisations of potential-driven advection-diffusion: linear and nonlinear approaches

Simon Lemaire and Julien Moatti
Mathematics in Engineering 6 (1) 100 (2024)
https://doi.org/10.3934/mine.2024005

Node-Diamond approximation of heterogeneous and anisotropic diffusion systems on arbitrary two-dimensional grids

El Houssaine Quenjel and Abdelaziz Beljadid
Mathematics and Computers in Simulation 204 450 (2023)
https://doi.org/10.1016/j.matcom.2022.08.011

Error estimate of the cell-centered nonlinear positivity-preserving two-point flux approximation schemes

Lei Lin, Junliang Lv and Dan Wu
Computers & Mathematics with Applications 137 1 (2023)
https://doi.org/10.1016/j.camwa.2023.02.015

Weakly monotone finite volume scheme for parabolic equations in strongly anisotropic media

Moha Aberrah, El Houssaine Quenjel, Patrick Perré and Mohamed Rhoudaf
Journal of Applied Mathematics and Computing 69 (4) 3289 (2023)
https://doi.org/10.1007/s12190-023-01883-7

On Numerical Approximation of Diffusion Problems Governed by Variable-Exponent Nonlinear Elliptic Operators

Boris Andreianov and El Houssaine Quenjel
Vietnam Journal of Mathematics 51 (1) 213 (2023)
https://doi.org/10.1007/s10013-022-00592-1

A structure preserving hybrid finite volume scheme for semiconductor models with magnetic field on general meshes

Julien Moatti
ESAIM: Mathematical Modelling and Numerical Analysis 57 (4) 2557 (2023)
https://doi.org/10.1051/m2an/2023041

Numerical analysis of a nonlinear discrete duality finite volume scheme for Leray-Lions type elliptic problems in Orlicz spaces

B. Lahmi, M. Rhoudaf and N. Staïli
Applied Numerical Mathematics 185 406 (2023)
https://doi.org/10.1016/j.apnum.2022.11.025

A 3D face interpolated discretisation method for simulating anisotropic diffusive processes on meshes coming from wood morphology

El-Houssaine Quenjel, Patrick Perré and Ian Turner
Applied Numerical Mathematics 192 280 (2023)
https://doi.org/10.1016/j.apnum.2023.06.010

A Local Grid-Refined Numerical Groundwater Model Based on the Vertex-centred Finite-Volume Method

Yingzhi Qian, Yan Zhu, Xiaoping Zhang, Jiming Wu, Ming Ye, Wei Mao, Jingwei Wu, Jiesheng Huang and Jinzhong Yang
Advances in Water Resources 173 104392 (2023)
https://doi.org/10.1016/j.advwatres.2023.104392

Global entropy stability for a class of unlimited second-order schemes for 2D hyperbolic systems of conservation laws on unstructured meshes

Ludovic Martaud
Journal of Computational Physics 487 112176 (2023)
https://doi.org/10.1016/j.jcp.2023.112176

Positive Scharfetter-Gummel finite volume method for convection-diffusion equations on polygonal meshes

El Houssaine Quenjel
Applied Mathematics and Computation 425 127071 (2022)
https://doi.org/10.1016/j.amc.2022.127071

Transfer of conservative discrete differential operators between staggered grids: construction and duality relations

Thierry Goudon, Stella Krell, Julie Llobell and Sebastian Minjeaud
IMA Journal of Numerical Analysis 42 (3) 2459 (2022)
https://doi.org/10.1093/imanum/drab042

An explicit finite volume scheme on staggered grids for the Euler equations: Unstructured meshes, stability analysis, and energy conservation

Thierry Goudon, Julie Llobell and Sebastian Minjeaud
International Journal for Numerical Methods in Fluids 94 (1) 76 (2022)
https://doi.org/10.1002/fld.5048

Numerical analysis of DDFV schemes for semiconductors energy-transport models

Marianne Bessemoulin-Chatard, Giulia Lissoni and Hélène Mathis
Computational and Applied Mathematics 41 (1) (2022)
https://doi.org/10.1007/s40314-021-01709-x

Combined mixed finite element and nonconforming finite volume methods for flow and transport in porous media

Omar El Moutea and Hassan El Amri
Analysis 41 (3) 123 (2021)
https://doi.org/10.1515/anly-2018-0019

Parallelization of a finite volumes discretization for anisotropic diffusion problems using an improved Schur complement technique

Hassan Belhadj, Samir Khallouq and Mohamed Rhoudaf
Discrete & Continuous Dynamical Systems - S 14 (7) 2075 (2021)
https://doi.org/10.3934/dcdss.2020260

Non-overlapping Schwarz algorithms for the incompressible Navier–Stokes equations with DDFV discretizations

Thierry Goudon, Stella Krell and Giulia Lissoni
ESAIM: Mathematical Modelling and Numerical Analysis 55 (4) 1271 (2021)
https://doi.org/10.1051/m2an/2021024

The Diamond Laplace for Polygonal and Polyhedral Meshes

A. Bunge, M. Botsch and M. Alexa
Computer Graphics Forum 40 (5) 217 (2021)
https://doi.org/10.1111/cgf.14369

Discrete Optimization of Robin Transmission Conditions for Anisotropic Diffusion with Discrete Duality Finite Volume Methods

Martin J. Gander, Laurence Halpern, Florence Hubert and Stella Krell
Vietnam Journal of Mathematics 49 (4) 1349 (2021)
https://doi.org/10.1007/s10013-021-00518-3

Optimized Schwarz methods with general Ventcell transmission conditions for fully anisotropic diffusion with discrete duality finite volume discretizations

Martin J. Gander, Laurence Halpern, Florence Hubert and Stella Krell
Moroccan Journal of Pure and Applied Analysis 7 (2) 182 (2021)
https://doi.org/10.2478/mjpaa-2021-0014

Large Time Behavior of Nonlinear Finite Volume Schemes for Convection-Diffusion Equations

Clément Cancès, Claire Chainais-Hillairet, Maxime Herda and Stella Krell
SIAM Journal on Numerical Analysis 58 (5) 2544 (2020)
https://doi.org/10.1137/19M1299311

A second order in space combination of methods verifying a maximum principle for the discretization of diffusion operators

Christophe Le Potier
Comptes Rendus. Mathématique 358 (1) 89 (2020)
https://doi.org/10.5802/crmath.15

A combined finite volume - finite element scheme for a low-Mach system involving a Joule term

Caterina Calgaro, Claire Colin and Emmanuel Creusé
AIMS Mathematics 5 (1) 311 (2020)
https://doi.org/10.3934/math.2020021

Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

Martin J. Gander, Laurence Halpern, Florence Hubert and Stella Krell
Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples 323 365 (2020)
https://doi.org/10.1007/978-3-030-43651-3_33

Convergence of a positive nonlinear DDFV scheme for degenerate parabolic equations

El Houssaine Quenjel, Mazen Saad, Mustapha Ghilani and Marianne Bessemoulin-Chatard
Calcolo 57 (2) (2020)
https://doi.org/10.1007/s10092-020-00367-5

Analysis of the decoupled and positivity-preserving DDFV schemes for diffusion problems on polygonal meshes

Qiannan Dong, Shuai Su and Jiming Wu
Advances in Computational Mathematics 46 (2) (2020)
https://doi.org/10.1007/s10444-020-09748-4

Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

Thierry Goudon, Stella Krell and Giulia Lissoni
Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples 323 335 (2020)
https://doi.org/10.1007/978-3-030-43651-3_30

Enhanced positive vertex-centered finite volume scheme for anisotropic convection-diffusion equations

El Houssaine Quenjel
ESAIM: Mathematical Modelling and Numerical Analysis 54 (2) 591 (2020)
https://doi.org/10.1051/m2an/2019075

Positive nonlinear DDFV scheme for a degenerate parabolic system describing chemotaxis

Moustafa Ibrahim, El Houssaine Quenjel and Mazen Saad
Computers & Mathematics with Applications 80 (12) 2972 (2020)
https://doi.org/10.1016/j.camwa.2020.10.018

Microtubules (MT) a key target in oncology: mathematical modeling of anti-MT agents on cell migration

Emilie Denicolai, Stéphane Honoré, Florence Hubert, et al.
Mathematical Modelling of Natural Phenomena 15 63 (2020)
https://doi.org/10.1051/mmnp/2020004

The discrete duality finite volume method for a class of quasi‐Newtonian Stokes flows

Zhengkang He, Rui Li, Jie Chen and Zhangxin Chen
Numerical Methods for Partial Differential Equations 35 (6) 2193 (2019)
https://doi.org/10.1002/num.22408

Discrete duality finite volume method with tangential redistribution of points for surfaces evolving by mean curvature

Lukáš Tomek and Karol Mikula
ESAIM: Mathematical Modelling and Numerical Analysis 53 (6) 1797 (2019)
https://doi.org/10.1051/m2an/2019040

Raviart–Thomas finite elements of Petrov–Galerkin type

Francois Dubois, Isabelle Greff and Charles Pierre
ESAIM: Mathematical Modelling and Numerical Analysis 53 (5) 1553 (2019)
https://doi.org/10.1051/m2an/2019020

A Discrete Duality Finite Volume Method for Coupling Darcy and Stokes Equations

M. Rhoudaf and N. Staïli
Moroccan Journal of Pure and Applied Analysis 5 (1) 46 (2019)
https://doi.org/10.2478/mjpaa-2019-0005

Energy stable numerical methods for porous media flow type problems

Clément Cancès, A. Anciaux-Sedrakian and Q. H. Tran
Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 73 78 (2018)
https://doi.org/10.2516/ogst/2018067

Sur une correction non linéaire et un principe du minimum local pour la discrétisation d'opérateurs de diffusion en différences finies

Christophe Le Potier
Comptes Rendus. Mathématique 356 (1) 100 (2018)
https://doi.org/10.1016/j.crma.2017.12.004

A decoupled and positivity-preserving discrete duality finite volume scheme for anisotropic diffusion problems on general polygonal meshes

Shuai Su, Qiannan Dong and Jiming Wu
Journal of Computational Physics 372 773 (2018)
https://doi.org/10.1016/j.jcp.2018.06.052

Numerical Analysis of a Nonlinear Free-Energy Diminishing Discrete Duality Finite Volume Scheme for Convection Diffusion Equations

Clément Cancès, Claire Chainais-Hillairet and Stella Krell
Computational Methods in Applied Mathematics 18 (3) 407 (2018)
https://doi.org/10.1515/cmam-2017-0043

Improved $L^2$ estimate for gradient schemes and super-convergence of the TPFA finite volume scheme

Jérôme Droniou and Neela Nataraj
IMA Journal of Numerical Analysis 38 (3) 1254 (2018)
https://doi.org/10.1093/imanum/drx028

Convergences of the squareroot approximation scheme to the Fokker–Planck operator

Martin Heida
Mathematical Models and Methods in Applied Sciences 28 (13) 2599 (2018)
https://doi.org/10.1142/S0218202518500562

Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects

Sarah Delcourte and Pascal Omnes
Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects 199 141 (2017)
https://doi.org/10.1007/978-3-319-57397-7_10

A DDFV method for a Cahn−Hilliard/Stokes phase field model with dynamic boundary conditions

Franck Boyer and Flore Nabet
ESAIM: Mathematical Modelling and Numerical Analysis 51 (5) 1691 (2017)
https://doi.org/10.1051/m2an/2016073

Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects

Clément Cancès, Claire Chainais-Hillairet and Stella Krell
Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects 199 439 (2017)
https://doi.org/10.1007/978-3-319-57397-7_37

Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects

Franck Boyer, Stella Krell and Flore Nabet
Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects 199 163 (2017)
https://doi.org/10.1007/978-3-319-57397-7_11

A posteriori error estimates for mixed finite volume solution of elliptic boundary value problems

Fayssal Benkhaldoun, Mohammed Seaid and Amadou Mahamane
Moroccan Journal of Pure and Applied Analysis 3 (2) 199 (2017)
https://doi.org/10.1515/mjpaa-2017-0016

Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems

Florence Hubert and Rémi Tesson
Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems 200 13 (2017)
https://doi.org/10.1007/978-3-319-57394-6_2

Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects

Thierry Goudon, Stella Krell and Giulia Lissoni
Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects 199 361 (2017)
https://doi.org/10.1007/978-3-319-57397-7_29

General fully implicit discretization of the diffusion term for the finite volume method

M. Darwish, L. Mangani and F. Moukalled
Numerical Heat Transfer, Part B: Fundamentals 71 (6) 506 (2017)
https://doi.org/10.1080/10407790.2017.1330060

A sixth-order finite volume method for diffusion problem with curved boundaries

A. Boularas, S. Clain and F. Baudoin
Applied Mathematical Modelling 42 401 (2017)
https://doi.org/10.1016/j.apm.2016.10.004

Simulations of non homogeneous viscous flows with incompressibility constraints

Caterina Calgaro, Emmanuel Creusé, Thierry Goudon and Stella Krell
Mathematics and Computers in Simulation 137 201 (2017)
https://doi.org/10.1016/j.matcom.2016.11.006

Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations

Konstantin Lipnikov and Gianmarco Manzini
Lecture Notes in Computational Science and Engineering, Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations 114 311 (2016)
https://doi.org/10.1007/978-3-319-41640-3_10

Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations

Daniele A. Di Pietro, Alexandre Ern and Simon Lemaire
Lecture Notes in Computational Science and Engineering, Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations 114 205 (2016)
https://doi.org/10.1007/978-3-319-41640-3_7

Gradient schemes: Generic tools for the numerical analysis of diffusion equations

Jérome Droniou, Robert Eymard and Raphaèle Herbin
ESAIM: Mathematical Modelling and Numerical Analysis 50 (3) 749 (2016)
https://doi.org/10.1051/m2an/2015079

The arbitrary order mixed mimetic finite difference method for the diffusion equation

Vitaliy Gyrya, Konstantin Lipnikov and Gianmarco Manzini
ESAIM: Mathematical Modelling and Numerical Analysis 50 (3) 851 (2016)
https://doi.org/10.1051/m2an/2015088

The Finite Volume Method in Computational Fluid Dynamics

F. Moukalled, L. Mangani and M. Darwish
Fluid Mechanics and Its Applications, The Finite Volume Method in Computational Fluid Dynamics 113 211 (2016)
https://doi.org/10.1007/978-3-319-16874-6_8

An asymptotic-preserving scheme for systems of conservation laws with source terms on 2D unstructured meshes

Christophe Berthon, Guy Moebs, Céline Sarazin-Desbois and Rodolphe Turpault
Communications in Applied Mathematics and Computational Science 11 (1) 55 (2016)
https://doi.org/10.2140/camcos.2016.11.55

Convergence Analysis on Unstructured Meshes of a DDFV Method for Flow Problems with Full Neumann Boundary Conditions

A. Kinfack Jeutsa, A. Njifenjou and J. Nganhou
Journal of Applied Mathematics 2016 1 (2016)
https://doi.org/10.1155/2016/5891064

A monotone nonlinear finite volume method for approximating diffusion operators on general meshes

Jean‐Sylvain Camier and Francois Hermeline
International Journal for Numerical Methods in Engineering 107 (6) 496 (2016)
https://doi.org/10.1002/nme.5184

A discrete duality finite volume discretization of the vorticity‐velocity‐pressure stokes problem on almost arbitrary two‐dimensional grids

Sarah Delcourte and Pascal Omnes
Numerical Methods for Partial Differential Equations 31 (1) 1 (2015)
https://doi.org/10.1002/num.21890

Finite volume implementation of the method of asymptotic partial domain decomposition for the heat equation on a thin structure

G. Panasenko and M. -C. Viallon
Russian Journal of Mathematical Physics 22 (2) 237 (2015)
https://doi.org/10.1134/S1061920815020107

Ana posteriorierror estimation for the discrete duality finite volume discretization of the Stokes equations

Anh Ha Le and Pascal Omnes
ESAIM: Mathematical Modelling and Numerical Analysis 49 (3) 663 (2015)
https://doi.org/10.1051/m2an/2014057

Error estimate for a finite volume scheme in a geometrical multi-scale domain

Marie-Claude Viallon
ESAIM: Mathematical Modelling and Numerical Analysis 49 (2) 529 (2015)
https://doi.org/10.1051/m2an/2014042

Finite difference diagonalization to simulate nuclear magnetic resonance diffusion experiments in porous media

Denys Grombacher and Matias Nordin
Concepts in Magnetic Resonance Part A 44 (3) 160 (2015)
https://doi.org/10.1002/cmr.a.21349

Convergence analysis of a DDFV scheme for a system describing miscible fluid flows in porous media

Claire Chainais‐Hillairet, Stella Krell and Alexandre Mouton
Numerical Methods for Partial Differential Equations 31 (3) 723 (2015)
https://doi.org/10.1002/num.21913

Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects

C. Berthon, G. Moebs and R. Turpault
Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects 77 107 (2014)
https://doi.org/10.1007/978-3-319-05684-5_9

Domain Decomposition Methods in Science and Engineering XXI

Paul-Marie Berthe, Caroline Japhet and Pascal Omnes
Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XXI 98 567 (2014)
https://doi.org/10.1007/978-3-319-05789-7_54

New cell–vertex reconstruction for finite volume scheme: Application to the convection–diffusion–reaction equation

Ricardo Costa, Stéphane Clain and Gaspar J. Machado
Computers & Mathematics with Applications 68 (10) 1229 (2014)
https://doi.org/10.1016/j.camwa.2014.08.015

Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects

Angela Handlovičová and Peter Frolkovič
Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects 77 333 (2014)
https://doi.org/10.1007/978-3-319-05684-5_32

Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects

Christophe Le Potier
Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects 77 439 (2014)
https://doi.org/10.1007/978-3-319-05684-5_43

A class of finite volume schemes of arbitrary order on nonuniform meshes

Qinghui Zhang and Qingsong Zou
Numerical Methods for Partial Differential Equations 30 (5) 1614 (2014)
https://doi.org/10.1002/num.21853

Computational Science and Its Applications – ICCSA 2014

Ricardo Costa, Stéphane Clain and Gaspar José Machado
Lecture Notes in Computer Science, Computational Science and Its Applications – ICCSA 2014 8579 87 (2014)
https://doi.org/10.1007/978-3-319-09144-0_7

A Nominally Second-Order Cell-Centered Finite Volume Scheme for Simulating Three-Dimensional Anisotropic Diffusion Equations on Unstructured Grids

Pascal Jacq, Pierre-Henri Maire and Rémi Abgrall
Communications in Computational Physics 16 (4) 841 (2014)
https://doi.org/10.4208/cicp.310513.170314a