EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: M2AN, 35 2 (2001) 355-387 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:

This article has been cited by the following article(s):

Trends in Nonlinear Analysis

Dietmar Kröner, Marc Küther, Mario Ohlberger and Christian Rohde
Trends in Nonlinear Analysis 289 (2003)
DOI: 10.1007/978-3-662-05281-5_7
See this article

A posteriori error analysis of nonconforming finite volume elements for general second-order elliptic PDEs

Min Yang
Numerical Methods for Partial Differential Equations 27 (2) 277 (2011)
DOI: 10.1002/num.20520
See this article

A posterior error estimate for finite volume methods of the second order elliptic problem

Xiu Ye
Numerical Methods for Partial Differential Equations 27 (5) 1165 (2011)
DOI: 10.1002/num.20575
See this article

Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects

Caterina Calgaro and Meriem Ezzoug
Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects 199 245 (2017)
DOI: 10.1007/978-3-319-57397-7_17
See this article

Encyclopedia of Computational Mechanics Second Edition

Timothy Barth, Raphaèle Herbin and Mario Ohlberger
Encyclopedia of Computational Mechanics Second Edition 1 (2017)
DOI: 10.1002/9781119176817.ecm2010
See this article

A kinetic approach to error estimate for nonautonomous anisotropic degenerate parabolic-hyperbolic equations

Qin Wang, Yachun Li and Xingwen Hao
Kinetic and Related Models 7 (3) 477 (2014)
DOI: 10.3934/krm.2014.7.477
See this article

Error Control for a Class of Runge–Kutta Discontinuous Galerkin Methods for Nonlinear Conservation Laws

Andreas Dedner, Charalambos Makridakis and Mario Ohlberger
SIAM Journal on Numerical Analysis 45 (2) 514 (2007)
DOI: 10.1137/050624248
See this article

A posteriori error estimates for combined finite volume–finite element discretizations of reactive transport equations on nonmatching grids

Danielle Hilhorst and Martin Vohralík
Computer Methods in Applied Mechanics and Engineering 200 (5-8) 597 (2011)
DOI: 10.1016/j.cma.2010.08.017
See this article

A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations

Martin Vohralík
SIAM Journal on Numerical Analysis 45 (4) 1570 (2007)
DOI: 10.1137/060653184
See this article

A Posteriori Error Estimations of Some Cell Centered Finite Volume Methods for Diffusion-Convection-Reaction Problems

Serge Nicaise
SIAM Journal on Numerical Analysis 44 (3) 949 (2006)
DOI: 10.1137/040611483
See this article

A Posteriori Error Estimation for the Discrete Duality Finite Volume Discretization of the Laplace Equation

Pascal Omnes, Yohan Penel and Yann Rosenbaum
SIAM Journal on Numerical Analysis 47 (4) 2782 (2009)
DOI: 10.1137/080735047
See this article

Optimal Rate of Convergence for Anisotropic Vanishing Viscosity Limit of a Scalar Balance Law

Charalambos Makridakis and Benoı⁁t Perthame
SIAM Journal on Mathematical Analysis 34 (6) 1300 (2003)
DOI: 10.1137/S0036141002407995
See this article

Heuristic a posteriori estimation of error due to dissipation in finite volume schemes and application to mesh adaptation

Richard P. Dwight
Journal of Computational Physics 227 (5) 2845 (2008)
DOI: 10.1016/j.jcp.2007.11.020
See this article

Local adaptive methods for convection dominated problems

Robert Klöfkorn, Dietmar Kröner and Mario Ohlberger
International Journal for Numerical Methods in Fluids 40 (1-2) 79 (2002)
DOI: 10.1002/fld.268
See this article

Convergence of finite volume schemes for a degenerate convection–diffusion equation arising in flow in porous media

M. Afif and B. Amaziane
Computer Methods in Applied Mechanics and Engineering 191 (46) 5265 (2002)
DOI: 10.1016/S0045-7825(02)00458-9
See this article

A new residual posteriori error estimates of mixed finite element methods for convection-diffusion-reaction equations

Shaohong Du
Numerical Methods for Partial Differential Equations 30 (2) 593 (2014)
DOI: 10.1002/num.21830
See this article

Hierarchical error estimates for finite volume approximation solution of elliptic equations

Qingsong Zou
Applied Numerical Mathematics 60 (1-2) 142 (2010)
DOI: 10.1016/j.apnum.2009.10.006
See this article

Reduced basis method for finite volume approximations of parametrized linear evolution equations

Bernard Haasdonk and Mario Ohlberger
ESAIM: Mathematical Modelling and Numerical Analysis 42 (2) 277 (2008)
DOI: 10.1051/m2an:2008001
See this article

A posteriori error estimations of some cell-centered finite volume methods

Serge Nicaise
SIAM Journal on Numerical Analysis 43 (4) 1481 (2005)
DOI: 10.1137/S0036142903437787
See this article

Adaptive Mesh Refinement for a Finite Volume Method for Flow and Transport of Radionuclides in Heterogeneous Porous Media

Brahim Amaziane, Marc Bourgeois and Mohamed El Fatini
Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 69 (4) 687 (2014)
DOI: 10.2516/ogst/2013176
See this article

Interval Inclusion Computation for the Solutions of the Burgers Equation

Qun Lin and Lung-an Ying
SIAM Journal on Numerical Analysis 47 (4) 2496 (2009)
DOI: 10.1137/080722011
See this article

Flow through porous media with applications to heap leaching of copper ores

E. Cariaga, F. Concha and M. Sepúlveda
Chemical Engineering Journal 111 (2-3) 151 (2005)
DOI: 10.1016/j.cej.2005.02.019
See this article

A mathematical model for batch and continuous thickening of flocculated suspensions in vessels with varying cross-section

R. Bürger, J.J.R. Damasceno and K.H. Karlsen
International Journal of Mineral Processing 73 (2-4) 183 (2004)
DOI: 10.1016/S0301-7516(03)00073-5
See this article

Adaptive multistep time discretization and linearization based on a posteriori error estimates for the Richards equation

V. Baron, Y. Coudière and P. Sochala
Applied Numerical Mathematics 112 104 (2017)
DOI: 10.1016/j.apnum.2016.10.005
See this article

An error estimate for the finite difference approximation to degenerate convection–diffusion equations

K. H. Karlsen, U. Koley and N. H. Risebro
Numerische Mathematik 121 (2) 367 (2012)
DOI: 10.1007/s00211-011-0433-9
See this article

A Local A Posteriori Error Estimator Based on Equilibrated Fluxes

R. Luce and B. I. Wohlmuth
SIAM Journal on Numerical Analysis 42 (4) 1394 (2004)
DOI: 10.1137/S0036142903433790
See this article

Higher order finite volume methods on selfadaptive grids for convection dominated reactive transport problems in porous media

Mario Ohlberger
Computing and Visualization in Science 7 (1) 41 (2004)
DOI: 10.1007/s00791-004-0128-1
See this article

The homogeneous dirichlet problem for quasilinear anisotropic degenerate parabolic-hyperbolic equation with Lp initial value

Wang Zhigang and Li Yachun
Acta Mathematica Scientia 32 (5) 1727 (2012)
DOI: 10.1016/S0252-9602(12)60137-4
See this article

An Error Estimate for Viscous Approximate Solutions of Degenerate Parabolic Equations

Steinar Evje and Kenneth H Karlsen
Journal of Nonlinear Mathematical Physics 9 (3) 262 (2002)
DOI: 10.2991/jnmp.2002.9.3.3
See this article

Adaptive Bilinear Element Finite Volume Methods for Second-Order Elliptic Problems on Nonmatching Grids

Yanli Chen, Yonghai Li, Zhiqiang Sheng and Guangwei Yuan
Journal of Scientific Computing 64 (1) 130 (2015)
DOI: 10.1007/s10915-014-9927-9
See this article

Renormalized entropy solutions for degenerate parabolic-hyperbolic equations with time-space dependent coefficients

Yachun Li, Lei Wang and Zhigang Wang
Communications on Pure and Applied Analysis 12 (3) 1163 (2012)
DOI: 10.3934/cpaa.2013.12.1163
See this article

Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods

Martin Vohralík
Numerische Mathematik 111 (1) 121 (2008)
DOI: 10.1007/s00211-008-0168-4
See this article

Convergence analysis of an approximation to miscible fluid flows in porous media by combining mixed finite element and finite volume methods

Brahim Amaziane and Mustapha El Ossmani
Numerical Methods for Partial Differential Equations 24 (3) 799 (2008)
DOI: 10.1002/num.20291
See this article

A posteriori error estimates for finite volume method based on bilinear trial functions for the elliptic equation

Tao Lin and Xiu Ye
Journal of Computational and Applied Mathematics 254 185 (2013)
DOI: 10.1016/j.cam.2013.03.007
See this article

Sharp 𝐿¹ a posteriori error analysis for nonlinear convection-diffusion problems

Zhiming Chen and Guanghua Ji
Mathematics of Computation 75 (253) 43 (2005)
DOI: 10.1090/S0025-5718-05-01778-3
See this article

Error estimate for the approximation of nonlinear conservation laws on bounded domains by the finite volume method

Mario Ohlberger and Julien Vovelle
Mathematics of Computation 75 (253) 113 (2005)
DOI: 10.1090/S0025-5718-05-01770-9
See this article

𝐿¹ error estimates for difference approximations of degenerate convection-diffusion equations

K. Karlsen, N. Risebro and E. Storrøsten
Mathematics of Computation 83 (290) 2717 (2014)
DOI: 10.1090/S0025-5718-2014-02818-4
See this article

A multilevel Monte Carlo finite difference method for random scalar degenerate convection–diffusion equations

Ujjwal Koley, Nils Henrik Risebro, Christoph Schwab and Franziska Weber
Journal of Hyperbolic Differential Equations 14 (03) 415 (2017)
DOI: 10.1142/S021989161750014X
See this article

DISCRETE DUALITY FINITE VOLUME SCHEMES FOR DOUBLY NONLINEAR DEGENERATE HYPERBOLIC-PARABOLIC EQUATIONS

B. ANDREIANOV, M. BENDAHMANE and K. H. KARLSEN
Journal of Hyperbolic Differential Equations 07 (01) 1 (2010)
DOI: 10.1142/S0219891610002062
See this article

Entropy Formulation for Parabolic Degenerate Equations with General Dirichlet Boundary Conditions and Application to the Convergence of FV Methods

Anthony Michel and Julien Vovelle
SIAM Journal on Numerical Analysis 41 (6) 2262 (2003)
DOI: 10.1137/S0036142902406612
See this article

Strongly Degenerate Parabolic-Hyperbolic Systems Modeling Polydisperse Sedimentation with Compression

Elmer M. Tory, Kenneth H. Karlsen, Raimund Bürger and Stefan Berres
SIAM Journal on Applied Mathematics 64 (1) 41 (2003)
DOI: 10.1137/S0036139902408163
See this article

A Finite Volume Scheme for Nonlinear Degenerate Parabolic Equations

Marianne Bessemoulin-Chatard and Francis Filbet
SIAM Journal on Scientific Computing 34 (5) B559 (2012)
DOI: 10.1137/110853807
See this article

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)
DOI: 10.1016/j.camwa.2014.03.010
See this article

An explicit a posteriori error estimations for the cell functional minimization scheme of elliptic problems

Li Yin, Zhiming Gao and Yanzhao Cao
Journal of Computational and Applied Mathematics 362 309 (2019)
DOI: 10.1016/j.cam.2018.10.034
See this article

Encyclopedia of Computational Mechanics

Timothy Barth and Mario Ohlberger
Encyclopedia of Computational Mechanics (2004)
DOI: 10.1002/0470091355.ecm010
See this article

A combined finite volume–nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems

Robert Eymard, Danielle Hilhorst and Martin Vohralík
Numerische Mathematik 105 (1) 73 (2006)
DOI: 10.1007/s00211-006-0036-z
See this article

A posterioriestimators for vertex centred finite volume discretization of a convection-diffusion-reaction equation arising in flow in porous media

B. Amaziane, A. Bergam, M. El Ossmani and Z. Mghazli
International Journal for Numerical Methods in Fluids 59 (3) 259 (2009)
DOI: 10.1002/fld.1456
See this article

Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux

Raimund Bürger, Ricardo Ruiz, Kai Schneider and Mauricio A. Sepúlveda
Journal of Engineering Mathematics 60 (3-4) 365 (2008)
DOI: 10.1007/s10665-007-9162-6
See this article

Computational Science and High Performance Computing

D. Kröner
Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), Computational Science and High Performance Computing 88 367 (2005)
DOI: 10.1007/3-540-32376-7_21
See this article

A combined finite volume-finite element scheme for the discretization of strongly nonlinear convection-diffusion-reaction problems on nonmatching grids

Robert Eymard, Danielle Hilhorst and Martin Vohralík
Numerical Methods for Partial Differential Equations NA (2009)
DOI: 10.1002/num.20449
See this article

Convergence analysis of a vertex-centered finite volume scheme for a copper heap leaching model

Emilio Cariaga, Fernando Concha, Iuliu Sorin Pop and Mauricio Sepúlveda
Mathematical Methods in the Applied Sciences n/a (2009)
DOI: 10.1002/mma.1234
See this article

A Posteriori Error Estimation for a Finite Volume Discretization on Anisotropic Meshes

M. Afif, B. Amaziane, G. Kunert, Z. Mghazli and S. Nicaise
Journal of Scientific Computing 43 (2) 183 (2010)
DOI: 10.1007/s10915-010-9352-7
See this article

Finite Volumes for Complex Applications VI Problems & Perspectives

Alexandre Ern and Martin Vohralı́k
Springer Proceedings in Mathematics, Finite Volumes for Complex Applications VI Problems & Perspectives 4 821 (2011)
DOI: 10.1007/978-3-642-20671-9_85
See this article

Hyperbolic Problems: Theory, Numerics, Applications

Thomas Geßner and Dietmar Kröner
Hyperbolic Problems: Theory, Numerics, Applications 415 (2001)
DOI: 10.1007/978-3-0348-8370-2_44
See this article

𝐿¹–framework for continuous dependence and error estimates for quasilinear anisotropic degenerate parabolic equations

Gui-Qiang Chen and Kenneth Karlsen
Transactions of the American Mathematical Society 358 (3) 937 (2004)
DOI: 10.1090/S0002-9947-04-03689-X
See this article

Geometric Analysis and Nonlinear Partial Differential Equations

Sebastian Noelle and Michael Westdickenberg
Geometric Analysis and Nonlinear Partial Differential Equations 417 (2003)
DOI: 10.1007/978-3-642-55627-2_21
See this article

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)
DOI: 10.1016/j.camwa.2020.10.018
See this article

On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions

Kenneth Hvistendahl Karlsen, Nils Henrik Risebro and Erlend Briseid Storrøsten
ESAIM: Mathematical Modelling and Numerical Analysis 50 (2) 499 (2016)
DOI: 10.1051/m2an/2015057
See this article

A posteriori element residual error estimations for the cell functional minimization scheme

Li Yin, Zhiming Gao and Yanzhao Cao
Numerical Methods for Partial Differential Equations 38 (6) 2123 (2022)
DOI: 10.1002/num.22871
See this article

A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations

Kenneth H. Karlsen and Mario Ohlberger
Journal of Mathematical Analysis and Applications 275 (1) 439 (2002)
DOI: 10.1016/S0022-247X(02)00305-0
See this article

Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients

Kenneth Hvistendahl Karlsen and Nils Henrik Risebro
ESAIM: Mathematical Modelling and Numerical Analysis 35 (2) 239 (2001)
DOI: 10.1051/m2an:2001114
See this article