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Optimal error estimates for non-conforming approximations of linear parabolic problems with minimal regularity
J. Droniou
,
R. Eymard
,
T. Gallouët
,
C. Guichard
,
R. Herbin
Article dans une revue
hal-04183945
v1
|
|
SPACE-TIME ERROR ESTIMATES FOR APPROXIMATIONS OF LINEAR PARABOLIC PROBLEMS WITH GENERALIZED TIME BOUNDARY CONDITIONS
Wolfgang Arendt
,
Isabelle Chalendar
,
Robert Eymard
Article dans une revue
hal-04075914
v1
|
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A monotone numerical flux for quasilinear convection diffusion equation
Claire Chainais-Hillairet
,
Robert Eymard
,
Jürgen Fuhrmann
Article dans une revue
hal-03791166
v1
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|
Extensions of dissipative and symmetric operators
Wolfgang Arendt
,
Isabelle Chalendar
,
Robert Eymard
Article dans une revue
hal-03746751
v3
|
|
Lions' representation theorem and applications
Wolfgang Arendt
,
Isabelle Chalendar
,
Robert Eymard
Article dans une revue
hal-03903110
v1
|
|
Convergence of the incremental projection method using conforming approximations
Robert Eymard
,
David Maltese
Article dans une revue
hal-03982033
v2
|
|
A new convergence proof for approximations of the Stefan problem
Robert Eymard
,
Thierry Gallouët
Article dans une revue
hal-03693568
v2
|
|
Galerkin approximation of linear problems in Banach and Hilbert spaces
Wolfgang Arendt
,
Isabelle Chalendar
,
Robert Eymard
IMA Journal of Numerical Analysis, 2022, 42 (1), pp.165-198
Article dans une revue
hal-02264895
v3
|
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Weighted p−Laplace approximation of linear and quasi-linear elliptic problems with measure data
Robert Eymard
,
David Maltese
,
Alain Prignet
Article dans une revue
hal-03668635
v1
|
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Convergence of nonlinear numerical approximations for an elliptic linear problem with irregular data
Robert Eymard
,
David Maltese
Article dans une revue
hal-03491712
v1
|
|
An accuracy comparison of piecewise linear reconstruction techniques for the characteristic finite volume method for two-dimensional convection-diffusion equations
Kanokwarun Para
,
Bubpha Jitsom
,
Robert Eymard
,
Surattana Sungnul
,
Sekson Sirisubtawee
et al.
Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2021, 101 (12), ⟨10.1002/zamm.201900245⟩
Article dans une revue
hal-03319127
v1
|
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HIGH-ORDER MASS-LUMPED SCHEMES FOR NONLINEAR DEGENERATE ELLIPTIC EQUATIONS
Jerome Droniou
,
Robert Eymard
SIAM Journal on Numerical Analysis, 2020, 58 (1), pp.153-188
Article dans une revue
hal-02016807
v1
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The gradient discretisation method for linear advection problems
Jérôme Droniou
,
Robert Eymard
,
T. Gallouët
,
R. Herbin
Computational Methods in Applied Mathematics, 2020, 20 (3), pp.43-458
Article dans une revue
hal-02078340
v2
|
|
A unified analysis of elliptic problems with various boundary conditions and their approximation
Jérôme Droniou
,
Robert Eymard
,
Thierry Gallouët
,
Raphaèle Herbin
Czechoslovak Mathematical Journal, 2020, 70, pp.339-368
Article dans une revue
hal-01823265
v3
|
|
Unified convergence analysis of numerical schemes for a miscible displacement problem
Jérôme Droniou
,
Robert Eymard
,
Alain Prignet
,
Kyle S. Talbot
Foundations of Computational Mathematics, 2019, 19 (2), pp.333-374
Article dans une revue
hal-02492320
v1
|
|
A Comparative Study of Characteristic Finite Element and Characteristic Finite Volume Methods for Convection-Diffusion-Reaction Problems on Triangular Grids
Sutthisak Phongthanapanich
,
Robert Eymard
Article dans une revue
hal-03180538
v1
|
|
Discontinuous Galerkin gradient discretisations for the approximation of second-order differential operators in divergence form
Robert Eymard
,
Cindy Guichard
Article dans une revue
hal-01535147
v2
|
|
Family of convergent numerical schemes for the incompressible Navier-Stokes equations
Robert Eymard
,
Pierre Feron
,
Cindy Guichard
Article dans une revue
hal-01382924
v2
|
|
Numerical methods for piecewise deterministic Markov processes with boundary
Christiane Cocozza-Thivent
,
Robert Eymard
,
Ludovic Goudenège
,
Michel Roussignol
Article dans une revue
hal-00917203
v1
|
|
Convection and total variation flow—erratum and improvement
François Bouchut
,
David Doyen
,
Robert Eymard
Article dans une revue
hal-03066497
v1
|
|
Convergence in $C(\lbrack0,T\rbrack;L^2(\Omega))$ of weak solutions to perturbed doubly degenerate parabolic equations
Jerome Droniou
,
Robert Eymard
,
Kyle S Talbot
Article dans une revue
hal-01278409
v1
|
|
Gradient Schemes for Stokes problem
Jérôme Droniou
,
Robert Eymard
,
Pierre Féron
Article dans une revue
hal-00958139
v1
|
|
Gradient schemes: generic tools for the numerical analysis of diffusion equations
Jérôme Droniou
,
Robert Eymard
,
Raphaele Herbin
ESAIM: Mathematical Modelling and Numerical Analysis, 2016, 50 (3), pp.749-781
Article dans une revue
hal-01150517
v2
|
|
Uniform-in-time convergence result of numerical methods for non-linear parabolic equations
Jérôme Droniou
,
Robert Eymard
Article dans une revue
hal-00949682
v3
|
|
Gradient Schemes for Stokes problem
Jerome Droniou
,
Robert Eymard
,
Pierre Feron
Article dans une revue
hal-01070703
v2
|
|
L2-stability independent of diffusion for a finite element -- finite volume discretization of a linear convection-diffusion equation
Paul Deuring
,
Robert Eymard
,
Marcus Mildner
Article dans une revue
hal-01060065
v2
|
|
Applications of approximate gradient schemes for nonlinear parabolic equations
Robert Eymard
,
Angela Handlovicova
,
Raphaèle Herbin
,
Karol Mikula
,
O. Stašová
Article dans une revue
hal-00744767
v1
|
|
An extension of the MAC scheme to locally refined meshes : convergence analysis for the full tensor time-dependent Navier-Stokes equations
Eric Chénier
,
Robert Eymard
,
Thierry Gallouët
,
Raphaele Herbin
Article dans une revue
hal-00751556
v1
|
|
TP or not TP, that is the question
Robert Eymard
,
Thierry Gallouët
,
Cindy Guichard
,
Raphaèle Herbin
,
Roland Masson
Article dans une revue
hal-00801648
v3
|
|
Convergence of conforming approximations for inviscid incompressible Bingham fluid flows and related problems
François Bouchut
,
Robert Eymard
,
Alain Prignet
Article dans une revue
hal-00859700
v1
|
|
Convection and total variation flow
François Bouchut
,
David Doyen
,
Robert Eymard
Article dans une revue
hal-00770644
v5
|
|
Study of a numerical scheme for miscible two-phase flow in porous media
Robert Eymard
,
V Schleper
Numerical Methods for Partial Differential Equations, 2013, pp.30(3):723-748, 2014. ⟨10.1002/num.21823⟩
Article dans une revue
hal-00741425
v4
|
|
Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation
Robert Eymard
,
Cindy Guichard
,
Raphaèle Herbin
,
Roland Masson
Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2013, Volume 94, Issue 7-8, p. 560-585, July 2014. ⟨10.1002/zamm.201200206⟩
Article dans une revue
hal-00740367
v3
|
|
Gradient schemes: a generic framework for the discretisation of linear, nonlinear and nonlocal elliptic and parabolic equations
Jérôme Droniou
,
Robert Eymard
,
Thierry Gallouët
,
Raphaèle Herbin
Mathematical Models and Methods in Applied Sciences, 2013, 13, pp.2395-2432
Article dans une revue
hal-00751551
v2
|
|
Gradient schemes for the Stefan problem
Robert Eymard
,
Pierre Féron
,
Thierry Gallouët
,
Raphaèle Herbin
,
Cindy Guichard
International Journal on Finite Volumes, 2013, Volume 10 special
Article dans une revue
hal-00751555
v1
|
|
Small-stencil 3D schemes for diffusive flows in porous media
Robert Eymard
,
Cindy Guichard
,
Raphaele Herbin
Article dans une revue
hal-00542667
v2
|
|
Vertex-centred discretization of multiphase compositional Darcy flows on general meshes
Robert Eymard
,
Cindy Guichard
,
Raphaele Herbin
,
Roland Masson
Article dans une revue
hal-00706244
v1
|
|
Vertex centred Discretization of Two-Phase Darcy flows on General Meshes
Robert Eymard
,
Cindy Guichard
,
Raphaele Herbin
,
Roland Masson
Article dans une revue
hal-00706246
v1
|
|
Finite volume approximation of degenerate two-phase flow model with unlimited air mobility
Boris Andreianov
,
Robert Eymard
,
Mustapha Ghilani
,
Nouzha Marhraoui
Numerical Methods for Partial Differential Equations, 2012, 29 (2), pp. 441-474. ⟨10.1002/num.21715⟩
Article dans une revue
istex
hal-00606955
v1
|
|
Convergence of a misanthrope process to the entropy solution of 1D problems
Robert Eymard
,
Michel Roussignol
,
Antoine Tordeux
Stochastic Processes and their Applications, 2012, 122, http://www.sciencedirect.com/science/article/pii/S0304414912001536. ⟨10.1016/j.spa.2012.07.002⟩
Article dans une revue
hal-00623832
v1
|
|
Finite volume schemes for the biharmonic problem on general meshes
Robert Eymard
,
Thierry Gallouët
,
Raphaele Herbin
,
Alexander Linke
Mathematics of Computation, 2012, 81 (280), pp.2019-2048
Article dans une revue
hal-00475419
v2
|
|
Approximation of nonlinear parabolic equations using a family of conformal and non-conformal schemes
Robert Eymard
,
Angela Handlovicova
,
Karol Mikula
Communications on Pure and Applied Mathematics, 2012, 11 (1), http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=6484. ⟨10.3934/cpaa.2012.11.147⟩
Article dans une revue
hal-00453537
v1
|
|
Grid Orientation Effect in coupled Finite Volume Schemes
Robert Eymard
,
Cindy Guichard
,
Roland Masson
IMA Journal of Numerical Analysis, 2012, http://imajna.oxfordjournals.org/cgi/authordata?d=10.1093/imanum/drs016&k=929ef8d7. ⟨10.1093/imanum/drs016⟩
Article dans une revue
hal-00623721
v2
|
|
Finite volume schemes for the approximation via characteristics of linear convection equations with irregular data
François Bouchut
,
Robert Eymard
,
Alain Prignet
Article dans une revue
hal-00538438
v1
|
|
Study of a finite volume scheme for the regularised mean curvature flow level set equation
Robert Eymard
,
Angela Handlovicova
,
Karol Mikula
IMA Journal of Numerical Analysis, 2011, http://imajna.oxfordjournals.org/content/31/3/813. ⟨10.1093/imanum/drq025⟩
Article dans une revue
hal-00407573
v2
|
|
Finite volume approximation of a diffusion-dissolution model and application to nuclear waste storage
O. Angelini
,
C. Chavant
,
Eric Chénier
,
Robert Eymard
,
S. Granet
Article dans une revue
hal-00713504
v1
|
|
Importance and Sensitivity Analysis in Dynamic Reliability
Robert Eymard
,
Sophie Mercier
,
Michel Roussignol
Article dans une revue
hal-00692992
v1
|
|
Approximation of the biharmonic problem using P1 finite elements
Robert Eymard
,
Raphaèle Herbin
,
Mohamed Rhoudaf
Journal of Numerical Mathematics, 2011, pp.Volume 19, Issue 1, Pages 1-26
Article dans une revue
hal-00825673
v1
|
|
Discretisation of heterogeneous and anisotropic diffusion problems on general non-conforming meshes. SUSHI: a scheme using stabilisation and hybrid interfaces
Robert Eymard
,
Thierry Gallouët
,
Raphaele Herbin
Article dans une revue
hal-00203269
v5
|
|
An abstract analysis framework for nonconforming approximations of diffusion problems on general meshes
L. Agélas
,
D. A. Di Pietro
,
Robert Eymard
,
R. Masson
International Journal on Finite Volumes, 2010, 7 (1), pp.1-29
Article dans une revue
hal-00318390
v1
|
|
Approximation of the biharmonic problem using piecewise linear finite elements
Robert Eymard
,
Raphaèle Herbin
Article dans une revue
hal-00693004
v1
|
|
Convergence of the MAC scheme for the compressible Stokes equations
Robert Eymard
,
Thierry Gallouët
,
Raphaele Herbin
,
Jean-Claude Latché
Article dans une revue
hal-00542676
v1
|
|
A unified approach to Mimetic Finite Difference, Hybrid Finite Volume and Mixed Finite Volume methods
Jerome Droniou
,
Robert Eymard
,
Thierry Gallouët
,
Raphaele Herbin
Article dans une revue
hal-00346077
v1
|
|
A convergent Finite Element-Finite Volume scheme for the compressible Stokes problem, Part II -- the isentropic case
Robert Eymard
,
Thierry Gallouët
,
Raphaele Herbin
,
Jean-Claude Latché
Article dans une revue
hal-00359140
v1
|
|
Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids
Robert Eymard
,
Thierry Gallouët
,
Raphaele Herbin
Article dans une revue
hal-00351867
v1
|
|
A nine point finite volume scheme for the simulation of diffusion in heterogeneous media
Léo Agélas
,
Robert Eymard
,
Raphaele Herbin
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2009, 347 (11-12), pp.673-676
Article dans une revue
hal-00350139
v1
|
|
A collocated finite volume scheme to solve free convection for general non-conforming grids
Eric Chénier
,
Robert Eymard
,
Raphaele Herbin
Article dans une revue
hal-00280822
v2
|
|
A combined finite volume-finite element scheme for the discretization of strongly nonlinear convection-diffusion-reaction problems on nonmatching grids
Robert Eymard
,
D. Hilhorst
,
Martin Vohralík
Numerical Methods for Partial Differential Equations, 2009, 26 (3), pp.612-646. ⟨10.1002/num.20449⟩
Article dans une revue
istex
hal-00081711
v1
|
|
Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows
Robert Eymard
,
Raphaele Herbin
,
Jean-Claude Latché
,
Bruno Piar
Article dans une revue
hal-00530814
v1
|
|
Algorithms for coupled mechanical deformations and fluid flow in a porous medium with different time scales
Fatima-Zahra Daïm
,
Danielle Hilhorst
,
Jacques Laminie
,
Robert Eymard
International Journal of Numerical Analysis and Modeling, 2009, 5 (4), pp.635-658
Article dans une revue
hal-01449039
v1
|
|
Collocated finite volume schemes for the simulation of natural convective flows on unstructured meshes
Eric Chénier
,
Robert Eymard
,
R. Herbin
,
O. Touazi
International Journal for Numerical Methods in Fluids, 2008, 56 (11), pp.2045--2068. ⟨10.1002/fld.1603⟩
Article dans une revue
istex
hal-00723170
v1
|
|
Simulation of natural convection with the Collocated Clustered Finite Volume scheme
O. Touazi
,
Eric Chénier
,
Robert Eymard
Article dans une revue
hal-00723173
v1
|
|
Study of the mixed finite volume method for Stokes and Navier-Stokes equations
Jerome Droniou
,
Robert Eymard
Article dans une revue
istex
hal-00110911
v1
|
|
An implicit finite volume scheme for a scalar hyperbolic problem with measure data related to piecewise deterministic Markov processes
Robert Eymard
,
Sophie Mercier
,
Alain Prignet
Article dans une revue
hal-00693134
v1
|
|
Comparison of numerical methods for the assessment of production availability of a hybrid system
Robert Eymard
,
Sophie Mercier
Article dans une revue
hal-00693079
v1
|
|
Mathematical and numerical study of a system of conservation laws
Robert Eymard
,
Elodie Tillier
Article dans une revue
hal-00108526
v1
|
|
Convergence analysis of a colocated finite volume scheme for the incompressible Navier-Stokes equations on general 2 or 3D meshes
Robert Eymard
,
Raphaele Herbin
,
Jean-Claude Latché
Article dans une revue
hal-00004841
v2
|
|
On the stability of colocated clustered finite volume simplicial discretizations for the 2D Stokes problem
Robert Eymard
,
Raphaele Herbin
,
Jean-Claude Latché
,
Bruno Piar
Article dans une revue
hal-00136127
v1
|
|
Existence of a solution for two phase flow in porous media: The case that the porosity depends on the pressure
Fatima-Zahra Daim
,
Robert Eymard
,
Danielle Hilhorst
Article dans une revue
hal-00693093
v1
|
|
A fast precipitation and dissolution reaction for a reaction diffusion system arising in a porous medium
Nicolas Bouillard
,
Robert Eymard
,
Marie Henry
,
Raphaele Herbin
,
Danielle Hilhorst
Article dans une revue
hal-00136237
v1
|
|
A mixed finite volume scheme for anisotropic diffusion problems on any grid
J. Droniou
,
Robert Eymard
Article dans une revue
hal-00005565
v3
|
|
Characterization of the marginal distributions of Markov processes used in dynamic reliability
Christiane Cocozza-Thivent
,
Robert Eymard
,
Sophie Mercier
,
Michel Roussignol
Article dans une revue
hal-02004712
v1
|
|
Identification of a stratigraphic model with seismic constraints
Jacques Blum
,
Gabriela Dobranszky
,
Robert Eymard
,
Roland Masson
Article dans une revue
inria-00414400
v1
|
|
A cell-centred finite volume approximation for second order partial derivative operators with full matrix on unstructured meshes in any space dimension
Robert Eymard
,
Thierry Gallouët
,
Raphaèle Herbin
IMA Journal of Numerical Analysis, 2006, 26, pp.326-353
Article dans une revue
hal-00004840
v1
|
|
On a stabilized colocated Finite Volume scheme for the Stokes problem
Robert Eymard
,
Raphaele Herbin
,
Jean-Claude Latché
Article dans une revue
hal-00793601
v1
|
|
Boiling in porous media: Model and simulations
J. Bénard
,
Robert Eymard
,
Xavier Nicolas
,
C. Chavant
Article dans une revue
hal-00694587
v1
|
|
A finite-volume scheme for dynamic reliability models
Christiane Cocozza-Thivent
,
Robert Eymard
,
Sophie Mercier
Article dans une revue
hal-00693102
v1
|
|
Finite volume schemes for two phase flow in porous media
Robert Eymard
,
Thierry Gallouët
Computing and Visualization in Science, 2004, 7, pp.31-40
Article dans une revue
hal-00003433
v1
|
|
Approximation of the marginal distributions of a semi-Markov process using a finite volume scheme
Christiane Cocozza-Thivent
,
Robert Eymard
Article dans une revue
hal-00693113
v1
|
|
A finite volume scheme for anisotropic diffusion problems
Robert Eymard
,
Thierry Gallouët
,
Raphaele Herbin
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2004, vol. 339, issue 4, pp.299-302
Article dans une revue
hal-00003328
v1
|
|
A finite volume scheme for the transport of radionucleides in porous media
Eric Chénier
,
Robert Eymard
,
Xavier Nicolas
Article dans une revue
hal-00695261
v1
|
|
Limit boundary conditions for finite volume approximations of some physical problems
Robert Eymard
,
Thierry Gallouët
,
Julien Vovelle
Journal of Computational and Applied Mathematics, 2003, Vol. 161, pp. 349-369
Article dans une revue
hal-00003443
v1
|
|
H-convergence and numerical schemes for elliptic equations
Robert Eymard
,
Thierry Gallouët
SIAM Journal on Numerical Analysis, 2003, Volume 41, Number 2, pp.539-562
Article dans une revue
hal-00003332
v1
|