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:
Léo Agélas, Daniele A. Di Pietro, Jérôme Droniou
ESAIM: M2AN, 44 4 (2010) 597-625
Published online: 2010-03-17
This article has been cited by the following article(s):
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)
DOI: 10.1016/j.camwa.2023.02.015
See this article
A conservative network element method for diffusion-advection-reaction problems
Julien Coatléven
ESAIM: Mathematical Modelling and Numerical Analysis 57 (4) 2007 (2023)
DOI: 10.1051/m2an/2023040
See this article
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)
DOI: 10.1016/j.camwa.2022.11.023
See this article
Convergence of nonlinear finite volume schemes for two-phase porous media flow on general meshes
Léo Agélas, Martin Schneider, Guillaume Enchéry and Bernd Flemisch
IMA Journal of Numerical Analysis 42 (1) 515 (2022)
DOI: 10.1093/imanum/draa064
See this article
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)
DOI: 10.1016/j.matcom.2022.05.011
See this article
First-order Continuation Method for Steady-State Variably Saturated Groundwater Flow Modeling
D. V. Anuprienko
Lobachevskii Journal of Mathematics 43 (4) 924 (2022)
DOI: 10.1134/S199508022207006X
See this article
A network element method for heterogeneous and anisotropic diffusion-reaction problems
Julien Coatléven
Journal of Computational Physics 470 111597 (2022)
DOI: 10.1016/j.jcp.2022.111597
See this article
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)
DOI: 10.1007/s10444-020-09748-4
See this article
A hybrid-dimensional discrete fracture model for non-isothermal two-phase flow in fractured porous media
Dennis Gläser, Bernd Flemisch, Rainer Helmig and Holger Class
GEM - International Journal on Geomathematics 10 (1) (2019)
DOI: 10.1007/s13137-019-0116-8
See this article
A third Strang lemma and an Aubin–Nitsche trick for schemes in fully discrete formulation
Daniele A. Di Pietro and Jérôme Droniou
Calcolo 55 (3) (2018)
DOI: 10.1007/s10092-018-0282-3
See this article
Comparison of finite-volume schemes for diffusion problems
Martin Schneider, Dennis Gläser, Bernd Flemisch, et al.
Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 73 82 (2018)
DOI: 10.2516/ogst/2018064
See this article
ArcFVDSL, a DSEL Combined to HARTS, a Runtime System Layer to Implement Efficient Numerical Methods to Solve Diffusive Problems on New Heterogeneous Hardware Architecture
Jean-Marc Gratien and S. de Chaisemartin
Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 72 (2) 12 (2017)
DOI: 10.2516/ogst/2017007
See this article
A virtual volume method for heterogeneous and anisotropic diffusion-reaction problems on general meshes
Julien Coatléven
ESAIM: Mathematical Modelling and Numerical Analysis 51 (3) 797 (2017)
DOI: 10.1051/m2an/2016036
See this article
Cell-centered nonlinear finite-volume methods for the heterogeneous anisotropic diffusion problem
Kirill M. Terekhov, Bradley T. Mallison and Hamdi A. Tchelepi
Journal of Computational Physics 330 245 (2017)
DOI: 10.1016/j.jcp.2016.11.010
See this article
Convergence of nonlinear finite volume schemes for heterogeneous anisotropic diffusion on general meshes
Martin Schneider, Léo Agélas, Guillaume Enchéry and Bernd Flemisch
Journal of Computational Physics 351 80 (2017)
DOI: 10.1016/j.jcp.2017.09.003
See this article
A two-step finite volume method to discretize heterogeneous and anisotropic pressure equation on general grids
Wenjuan Zhang and Mohammed Al Kobaisi
Advances in Water Resources 108 231 (2017)
DOI: 10.1016/j.advwatres.2017.08.008
See this article
Timothy Barth, Raphaèle Herbin and Mario Ohlberger
1 (2017)
DOI: 10.1002/9781119176817.ecm2010
See this article
Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects
J. Droniou and R. Eymard
Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects 199 311 (2017)
DOI: 10.1007/978-3-319-57397-7_24
See this article
Modeling anisotropic flow and heat transport by using mimetic finite differences
Tao Chen, Christoph Clauser, Gabriele Marquart, Karen Willbrand and Henrik Büsing
Advances in Water Resources 94 441 (2016)
DOI: 10.1016/j.advwatres.2016.06.006
See this article
Semi hybrid method for heterogeneous and anisotropic diffusion problems on general meshes
Julien Coatléven
ESAIM: Mathematical Modelling and Numerical Analysis 49 (4) 1063 (2015)
DOI: 10.1051/m2an/2015005
See this article
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)
DOI: 10.1142/S0218202514400041
See this article
A Review of Recent Advances in Discretization Methods,a PosterioriError Analysis, and Adaptive Algorithms for Numerical Modeling in Geosciences
Daniele A. Di Pietro and Martin Vohralík
Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 69 (4) 701 (2014)
DOI: 10.2516/ogst/2013158
See this article
A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media
Daniele A. Di Pietro, Eric Flauraud, Martin Vohralík and Soleiman Yousef
Journal of Computational Physics 276 163 (2014)
DOI: 10.1016/j.jcp.2014.06.061
See this article
An a posteriori-based, fully adaptive algorithm with adaptive stopping criteria and mesh refinement for thermal multiphase compositional flows in porous media
Daniele A. Di Pietro, Martin Vohralík and Soleiman Yousef
Computers & Mathematics with Applications 68 (12) 2331 (2014)
DOI: 10.1016/j.camwa.2014.08.008
See this article
Numerical comparison of robustness of some reduction methods in rough grids
Jiangyong Hou, Shuyu Sun and Zhangxin Chen
Numerical Methods for Partial Differential Equations 30 (5) 1484 (2014)
DOI: 10.1002/num.21873
See this article
Finite-difference schemes for anisotropic diffusion
Bram van Es, Barry Koren and Hugo J. de Blank
Journal of Computational Physics 272 526 (2014)
DOI: 10.1016/j.jcp.2014.04.046
See this article
Carleman Estimates for Some Non-Smooth Anisotropic Media
Assia Benabdallah, Yves Dermenjian and Laetitia Thevenet
Communications in Partial Differential Equations 38 (10) 1763 (2013)
DOI: 10.1080/03605302.2013.804552
See this article
On the conservativity of cell-centered Galerkin methods
Daniele A. Di Pietro
Comptes Rendus Mathematique 351 (3-4) 155 (2013)
DOI: 10.1016/j.crma.2013.03.001
See this article
MIXED FINITE ELEMENT METHODS: IMPLEMENTATION WITH ONE UNKNOWN PER ELEMENT, LOCAL FLUX EXPRESSIONS, POSITIVITY, POLYGONAL MESHES, AND RELATIONS TO OTHER METHODS
MARTIN VOHRALÍK and BARBARA I. WOHLMUTH
Mathematical Models and Methods in Applied Sciences 23 (05) 803 (2013)
DOI: 10.1142/S0218202512500613
See this article
Modelling and Simulation in Fluid Dynamics in Porous Media
J.-M. Gratien
Springer Proceedings in Mathematics & Statistics, Modelling and Simulation in Fluid Dynamics in Porous Media 28 157 (2013)
DOI: 10.1007/978-1-4614-5055-9_10
See this article
A domain-specific embedded language in C++ for lowest-order discretizations of diffusive problems on general meshes
Daniele A. Di Pietro, Jean-Marc Gratien and Christophe Prud’homme
BIT Numerical Mathematics 53 (1) 111 (2013)
DOI: 10.1007/s10543-012-0403-3
See this article
Cell centered Galerkin methods for diffusive problems
Daniele A. Di Pietro
ESAIM: Mathematical Modelling and Numerical Analysis 46 (1) 111 (2012)
DOI: 10.1051/m2an/2011016
See this article
Vertex-centred discretization of multiphase compositional Darcy flows on general meshes
Robert Eymard, Cindy Guichard, Raphaele Herbin and Roland Masson
Computational Geosciences 16 (4) 987 (2012)
DOI: 10.1007/s10596-012-9299-x
See this article
A compact cell-centered Galerkin method with subgrid stabilization
Daniele A. Di Pietro
Comptes Rendus Mathematique 349 (1-2) 93 (2011)
DOI: 10.1016/j.crma.2010.11.017
See this article
Finite Volumes for Complex Applications VI Problems & Perspectives
Daniele A. Di Pietro and Jean-Marc Gratien
Springer Proceedings in Mathematics, Finite Volumes for Complex Applications VI Problems & Perspectives 4 803 (2011)
DOI: 10.1007/978-3-642-20671-9_84
See this article
Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle
Jérôme Droniou and Christophe Le Potier
SIAM Journal on Numerical Analysis 49 (2) 459 (2011)
DOI: 10.1137/090770849
See this article
Correction non linéaire et principe du maximum pour la discrétisation d'opérateurs de diffusion avec des schémas volumes finis centrés sur les mailles
Christophe Le Potier
Comptes Rendus Mathematique 348 (11-12) 691 (2010)
DOI: 10.1016/j.crma.2010.04.017
See this article