EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: M2AN, 33 3 (1999) 493-516 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:

Comparison of numerical methods for the solution of Richards' equation in layered porous media

Roza Asadi and Zahra Zamani Aliabadi
Numerical Methods in Civil Engineering 9 (3) 1 (2025)
https://doi.org/10.61186/NMCE.2302.1007

Composite finite volume schemes for the diffusion equation on unstructured meshes

Xavier Blanc, Philippe Hoch and Clément Lasuen
Computers & Mathematics with Applications 156 207 (2024)
https://doi.org/10.1016/j.camwa.2023.12.034

Iteratively coupled elastoplastic simulation of pumping-induced land deformation using a finite volume-finite element method

Roza Asadi and Arman Khoshghalb
Computers and Geotechnics 176 106726 (2024)
https://doi.org/10.1016/j.compgeo.2024.106726

The cell-centered positivity-preserving finite volume scheme for 3D convection–diffusion equation on distorted meshes

Gang Peng
Engineering Computations (2024)
https://doi.org/10.1108/EC-10-2023-0668

A positivity-preserving edge-centred finite volume scheme for heterogeneous and anisotropic diffusion problems on polygonal meshes

Shuai Miao and Shuai Su
Computational and Applied Mathematics 43 (4) (2024)
https://doi.org/10.1007/s40314-024-02716-4

On the convergence of the Rhie–Chow stabilized Box method for the Stokes problem

G. Negrini, N. Parolini and M. Verani
International Journal for Numerical Methods in Fluids 96 (8) 1489 (2024)
https://doi.org/10.1002/fld.5295

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

A monotone diffusion scheme for 3D general meshes: Application to radiation hydrodynamics in the equilibrium diffusion limit

Pierre Anguill, Xavier Blanc and Emmanuel Labourasse
Computers & Mathematics with Applications 158 56 (2024)
https://doi.org/10.1016/j.camwa.2024.01.005

Arbitrary-Lagrangian-Eulerian finite volume IMEX schemes for the incompressible Navier-Stokes equations on evolving Chimera meshes

Michele Giuliano Carlino and Walter Boscheri
Journal of Computational Physics 501 112764 (2024)
https://doi.org/10.1016/j.jcp.2024.112764

A mimetic interpolation-free cell-centered finite volume scheme for the 2D and 3D heterogeneous anisotropic diffusion equations

Shuai Miao
Journal of Computational and Applied Mathematics 443 115760 (2024)
https://doi.org/10.1016/j.cam.2024.115760

A symmetric and coercive finite volume scheme preserving the discrete maximum principle for anisotropic diffusion equations on star-shaped polygonal meshes

Shuai Su and Jiming Wu
Applied Numerical Mathematics 198 217 (2024)
https://doi.org/10.1016/j.apnum.2024.01.008

Modeling Radiation Belt Dynamics Using a Positivity‐Preserving Finite Volume Method on General Meshes

Peng Peng, Xin Tao, Zong Peng, Yan Jiang, Zhiming Gao, Di Yang, Jay M. Albert and Anthony A. Chan
Journal of Geophysical Research: Space Physics 129 (9) (2024)
https://doi.org/10.1029/2024JA032919

An interpolation-free cell-centered discretization of the heterogeneous and anisotropic diffusion problems on polygonal meshes

Shuai Miao, Jiming Wu and Yanzhong Yao
Computers & Mathematics with Applications 130 105 (2023)
https://doi.org/10.1016/j.camwa.2022.11.023

A family of edge-centered finite volume schemes for heterogeneous and anisotropic diffusion problems on unstructured meshes

Ziqi Liu, Shuai Miao and Zhimin Zhang
Computers & Mathematics with Applications 146 165 (2023)
https://doi.org/10.1016/j.camwa.2023.06.030

Convergence of numerical schemes for convection–diffusion–reaction equations on generic meshes

Yahya Alnashri and Hasan Alzubaidi
Results in Applied Mathematics 19 100379 (2023)
https://doi.org/10.1016/j.rinam.2023.100379

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

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

Arbitrary-order monotonic finite-volume schemes for 1D elliptic problems

Xavier Blanc, Francois Hermeline, Emmanuel Labourasse and Julie Patela
Computational and Applied Mathematics 42 (4) (2023)
https://doi.org/10.1007/s40314-023-02324-8

A linearity-preserving diamond scheme with extended least square interpolation for the heterogeneous and anisotropic diffusion problems on polyhedral meshes

Longshan Luo and Cheng Dong
Computers & Mathematics with Applications 144 182 (2023)
https://doi.org/10.1016/j.camwa.2023.05.022

A linearity-preserving technique for finite volume schemes of anisotropic diffusion problems on polygonal meshes

Cheng Dong and Tong Kang
Mathematics and Computers in Simulation 201 141 (2022)
https://doi.org/10.1016/j.matcom.2022.05.011

An Eulerian Finite-Volume Approach of Fluid-Structure Interaction Problems on Quadtree Meshes

Michel Bergmann, Antoine Fondanèche and Angelo Iollo
SSRN Electronic Journal (2022)
https://doi.org/10.2139/ssrn.4000236

An Eulerian finite-volume approach of fluid-structure interaction problems on quadtree meshes

Michel Bergmann, Antoine Fondanèche and Angelo Iollo
Journal of Computational Physics 471 111647 (2022)
https://doi.org/10.1016/j.jcp.2022.111647

An asymptotic preserving method for the linear transport equation on general meshes

Pierre Anguill, Patricia Cargo, Cedric Énaux, et al.
Journal of Computational Physics 450 110859 (2022)
https://doi.org/10.1016/j.jcp.2021.110859

Entropy and convergence analysis for two finite volume schemes for a Nernst–Planck–Poisson system with ion volume constraints

Benoît Gaudeul and Jürgen Fuhrmann
Numerische Mathematik 151 (1) 99 (2022)
https://doi.org/10.1007/s00211-022-01279-y

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

A least squares based diamond scheme for 3D heterogeneous and anisotropic diffusion problems on polyhedral meshes

Cheng Dong and Tong Kang
Applied Mathematics and Computation 418 126847 (2022)
https://doi.org/10.1016/j.amc.2021.126847

A positivity-preserving and free energy dissipative hybrid scheme for the Poisson-Nernst-Planck equations on polygonal and polyhedral meshes

Shuai Su and Huazhong Tang
Computers & Mathematics with Applications 108 33 (2022)
https://doi.org/10.1016/j.camwa.2021.12.019

A Cell-Centered Semi-Lagrangian Finite Volume Method for Solving Two-Dimensional Coupled Burgers’ Equations

Ilham Asmouh, Mofdi El-Amrani, Mohammed Seaid, Naji Yebari and Chunrui Zhang
Computational and Mathematical Methods 2022 1 (2022)
https://doi.org/10.1155/2022/8192192

Study on borehole temperature distribution when the well-kick and the well-leakage occurs simultaneously during geothermal well drilling

Zheng Zhang, Xin Wang, Youming Xiong, et al.
Geothermics 104 102441 (2022)
https://doi.org/10.1016/j.geothermics.2022.102441

A nonlinear correction scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes

Shuai Miao and Jiming Wu
Journal of Computational Physics 448 110729 (2022)
https://doi.org/10.1016/j.jcp.2021.110729

ADER scheme for incompressible Navier-Stokes equations on overset grids with a compact transmission condition

Michel Bergmann, Michele Giuliano Carlino, Angelo Iollo and Haysam Telib
Journal of Computational Physics 467 111414 (2022)
https://doi.org/10.1016/j.jcp.2022.111414

Accuracy of Cell Centres to Vertices Interpolation for Unstructured Mesh Finite Volume Solver

Adek Tasri
Journal of The Institution of Engineers (India): Series C 102 (3) 577 (2021)
https://doi.org/10.1007/s40032-021-00697-5

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

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

A numerical-analysis-focused comparison of several finite volume schemes for a unipolar degenerate drift-diffusion model

Clément Cancès, Claire Chainais-Hillairet, Jürgen Fuhrmann and Benoît Gaudeul
IMA Journal of Numerical Analysis 41 (1) 271 (2021)
https://doi.org/10.1093/imanum/draa002

A linearity-preserving finite volume scheme with a diamond stencil for the simulation of anisotropic and highly heterogeneous diffusion problems using tetrahedral meshes

Ricardo J.M. de Lira Filho, Sidicley R. dos Santos, Túlio de M. Cavalcante, et al.
Computers & Structures 250 106510 (2021)
https://doi.org/10.1016/j.compstruc.2021.106510

Hybrid finite volume-finite element methods for hydro-mechanical analysis in highly heterogeneous porous media

Roza Asadi and Behzad Ataie-Ashtiani
Computers and Geotechnics 132 103996 (2021)
https://doi.org/10.1016/j.compgeo.2020.103996

A least squares based diamond scheme for anisotropic diffusion problems on polygonal meshes

Cheng Dong and Tong Kang
International Journal for Numerical Methods in Fluids 93 (11) 3231 (2021)
https://doi.org/10.1002/fld.5031

Cartesian CFD Methods for Complex Applications

Michel Bergmann, Antoine Fondanèche and Angelo Iollo
SEMA SIMAI Springer Series, Cartesian CFD Methods for Complex Applications 3 1 (2021)
https://doi.org/10.1007/978-3-030-61761-5_1

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

The cell-centered positivity-preserving finite volume scheme for 3D anisotropic diffusion problems on distorted meshes

Gang Peng, Zhiming Gao, Wenjing Yan and Xinlong Feng
Computer Physics Communications 269 108099 (2021)
https://doi.org/10.1016/j.cpc.2021.108099

A positivity-preserving nonlinear finite volume scheme for radionuclide transport calculations in geological radioactive waste repository

Gang Peng, Zhiming Gao, Wenjing Yan and Xinlong Feng
International Journal of Numerical Methods for Heat & Fluid Flow 30 (2) 516 (2020)
https://doi.org/10.1108/HFF-04-2019-0327

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

A linearity-preserving vertex interpolation algorithm for cell-centered finite volume approximations of anisotropic diffusion problems

Di Yang and Zhiming Gao
International Journal of Numerical Methods for Heat & Fluid Flow 30 (3) 1167 (2020)
https://doi.org/10.1108/HFF-04-2019-0354

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

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

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

Michel Bergmann, Antoine Fondanèche and Angelo Iollo
Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples 323 765 (2020)
https://doi.org/10.1007/978-3-030-43651-3_73

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

Borehole temperature distribution when drilling fluid loss occurs in the two-dimensional area at the bottom-hole during drilling

Zheng Zhang, Youming Xiong, Hui Pu, Geng Peng and Jingpeng Wang
Journal of Natural Gas Science and Engineering 83 103523 (2020)
https://doi.org/10.1016/j.jngse.2020.103523

A novel cell-centered finite volume scheme with positivity-preserving property for the anisotropic diffusion problems on general polyhedral meshes

Gang Peng, Zhiming Gao and Xinlong Feng
Applied Mathematics Letters 104 106252 (2020)
https://doi.org/10.1016/j.aml.2020.106252

A Convergent Entropy Diminishing Finite Volume Scheme for a Cross-Diffusion System

Clément Cancès and Benoît Gaudeul
SIAM Journal on Numerical Analysis 58 (5) 2684 (2020)
https://doi.org/10.1137/20M1316093

Validation of a 2D cell-centered Finite Volume method for elliptic equations

Gung-Min Gie, Chang-Yeol Jung and Thien Binh Nguyen
Mathematics and Computers in Simulation 165 119 (2019)
https://doi.org/10.1016/j.matcom.2019.03.008

A vertex‐centered and positivity‐preserving scheme for anisotropic diffusion equations on general polyhedral meshes

Shuai Su, Qiannan Dong and Jiming Wu
Mathematical Methods in the Applied Sciences 42 (1) 59 (2019)
https://doi.org/10.1002/mma.5324

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

Regularization of the Lagrangian point force approximation for deterministic discrete particle simulations

Jean-François Poustis, Jean-Mathieu Senoner, Davide Zuzio and Philippe Villedieu
International Journal of Multiphase Flow 117 138 (2019)
https://doi.org/10.1016/j.ijmultiphaseflow.2019.04.021

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

Convergence of a positive nonlinear Control Volume Finite Element scheme for solving an anisotropic degenerate breast cancer development model

Françoise Foucher, Moustafa Ibrahim and Mazen Saad
Computers & Mathematics with Applications 76 (3) 551 (2018)
https://doi.org/10.1016/j.camwa.2018.04.037

Transient temperature prediction model of horizontal wells during drilling shale gas and geothermal energy

Liangjie Mao and Zheng Zhang
Journal of Petroleum Science and Engineering 169 610 (2018)
https://doi.org/10.1016/j.petrol.2018.05.069

The LS-STAG immersed boundary/cut-cell method for non-Newtonian flows in 3D extruded geometries

F. Nikfarjam, Y. Cheny and O. Botella
Computer Physics Communications 226 67 (2018)
https://doi.org/10.1016/j.cpc.2018.01.006

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

Convergence analysis of the nonlinear iterative method for two-phase flow in porous media associated with nanoparticle injection

Mohamed El-Amin, Jisheng Kou and Shuyu Sun
International Journal of Numerical Methods for Heat & Fluid Flow 27 (10) 2289 (2017)
https://doi.org/10.1108/HFF-05-2016-0210

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 - Hyperbolic, Elliptic and Parabolic Problems

Jooyoung Hahn, Karol Mikula, Peter Frolkovič and Branislav Basara
Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems 200 81 (2017)
https://doi.org/10.1007/978-3-319-57394-6_9

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

Numerical study of compositional compressible degenerate two-phase flow in saturated–unsaturated heterogeneous porous media

Ali S. Saad, Bilal Saad and Mazen Saad
Computers & Mathematics with Applications 71 (2) 565 (2016)
https://doi.org/10.1016/j.camwa.2015.12.010

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

F. Blachère and R. Turpault
Journal of Computational Physics 315 98 (2016)
https://doi.org/10.1016/j.jcp.2016.03.045

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 positive scheme for diffusion problems on deformed meshes

Xavier Blanc and Emmanuel Labourasse
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 96 (6) 660 (2016)
https://doi.org/10.1002/zamm.201400234

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

A numerical reduced model for thin liquid films sheared by a gas flow

G. Lavalle, J.-P. Vila, G. Blanchard, C. Laurent and F. Charru
Journal of Computational Physics 301 119 (2015)
https://doi.org/10.1016/j.jcp.2015.08.018

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

A combined finite volume–nonconforming finite element scheme for compressible two phase flow in porous media

Bilal Saad and Mazen Saad
Numerische Mathematik 129 (4) 691 (2015)
https://doi.org/10.1007/s00211-014-0651-z

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

A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes

Zhiming Gao and Jiming Wu
SIAM Journal on Scientific Computing 37 (1) A420 (2015)
https://doi.org/10.1137/140972470

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

A reconstruction algorithm with flexible stencils for anisotropic diffusion equations on 2D skewed meshes

Lina Chang
Journal of Computational Physics 256 484 (2014)
https://doi.org/10.1016/j.jcp.2013.09.012

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

Finite volume schemes for diffusion equations: Introduction to and review of modern methods

Jerome Droniou
Mathematical Models and Methods in Applied Sciences 24 (08) 1575 (2014)
https://doi.org/10.1142/S0218202514400041

Numerical analysis of a non equilibrium two-component two-compressible flow in porous media

Bilal Saad and Mazen Saad
Discrete & Continuous Dynamical Systems - S 7 (2) 317 (2014)
https://doi.org/10.3934/dcdss.2014.7.317

On the efficacy of a control volume finite element method for the capture of patterns for a volume-filling chemotaxis model

Moustafa Ibrahim and Mazen Saad
Computers & Mathematics with Applications 68 (9) 1032 (2014)
https://doi.org/10.1016/j.camwa.2014.03.010

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 new conservative numerical scheme for flow problems on unstructured grids and unbounded domains

Christoph Erath
Journal of Computational Physics 245 476 (2013)
https://doi.org/10.1016/j.jcp.2013.03.055

A family of linearity-preserving schemes for anisotropic diffusion problems on arbitrary polyhedral grids

Weiwei Sun, Jiming Wu and Xiaoping Zhang
Computer Methods in Applied Mechanics and Engineering 267 418 (2013)
https://doi.org/10.1016/j.cma.2013.08.006