Zobrazeno 1 - 10 of 215 pro vyhledávání: '"Robert EYMARD"'
2
Weighted p--Laplace approximation of linear and quasi-linear elliptic problems with measure data
Autor: Robert Eymard, David Maltese, Alain Prignet
Publikováno v: Journal of Differential Equations
Journal of Differential Equations, Elsevier, 2022, 330, pp.208-236
International audience; We approximate the solution to some linear and degenerate quasi-linear problem involving a linear elliptic operator (like the semi-discrete in time implicit Euler approximation of Richards and Stefan equations) with measure ri
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62750420eb5f40d799708567ca2f64b4
http://arxiv.org/abs/2205.07698
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3
An accuracy comparison of piecewise linear reconstruction techniques for the characteristic finite volume method for two‐dimensional convection‐diffusion equation
Autor: Bubpha Jitsom, Surattana Sungnul, Sekson Sirisubtawee, Robert Eymard, Sutthisak Phongthanapanich, Kanokwarun Para
Publikováno v: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 101
In this paper, we apply the characteristic finite volume method (CFVM) for solving a convection-diffusion problem on two-dimensional triangular grids. The finite volume method is used to discretize the equation while the finite element method is appl
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1f4483c0765d59c8fc377fad1f3f1e7d
https://doi.org/10.1002/zamm.201900245
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4
An accuracy comparison of piecewise linear reconstruction techniques for the characteristic finite volume method for two-dimensional convection-diffusion equations
Autor: Kanokwarun Para, Bubpha Jitsom, Robert EYMARD, Surattana Sungnul, Sekson Sirisubtawee, Sutthisak Phongthanapanich
Publikováno v: HAL
In this paper, we apply the characteristic finite volume method (CFVM) for solving a convection-diffusion problem on two-dimensional triangular grids. The finite volume method is used to discretize the equation while the finite element method is appl
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::fdb281ef33d5c41ce7871cefe0d9f714
https://hal.archives-ouvertes.fr/hal-03319127
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5
Convergence of nonlinear numerical approximations for an elliptic linear problem with irregular data
Autor: David Maltese, Robert Eymard
Publikováno v: ESAIM: Mathematical Modelling and Numerical Analysis
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2021, 55 (6), pp.3043-3089
HAL
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2021, 55 (6), pp.3043-3089. ⟨10.1051/m2an/2021079⟩
This work is devoted to the study of the approximation, using two nonlinear numerical methods, of a linear elliptic problem with measure data and heterogeneous anisotropic diffusion matrix. Both methods show convergence properties to a continuous sol
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81852698507412ec4871c9938a03b4f5
https://hal.archives-ouvertes.fr/hal-03105385/file/entsoluni_em_final.pdf
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6
Galerkin approximation of linear problems in Banach and Hilbert spaces
Autor: Robert Eymard, Isabelle Chalendar, Wolfgang Arendt
Publikováno v: IMA Journal of Numerical Analysis
IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2020
IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2022, 42 (1), pp.165-198
HAL
In this paper we study the conforming Galerkin approximation of the problem: find $u\in{{\mathcal{U}}}$ such that $a(u,v) = \langle L, v \rangle $ for all $v\in{{\mathcal{V}}}$, where ${{\mathcal{U}}}$ and ${{\mathcal{V}}}$ are Hilbert or Banach spac
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9881912175f72f1119f6389965312d6c
https://hal.archives-ouvertes.fr/hal-02264895v3/document
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7
Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations
Autor: Robert Eymard, Jérôme Droniou
Gradient schemes is a framework that enables the unified convergence analysis of many numerical methods for elliptic and parabolic partial differential equations: conforming and non-conforming Finite Element, Mixed Finite Element and Finite Volume me
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::748c2fe21b65d8141415e033067962b4
http://arxiv.org/abs/2003.09067
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8
HIGH-ORDER MASS-LUMPED SCHEMES FOR NONLINEAR DEGENERATE ELLIPTIC EQUATIONS
Autor: Robert Eymard, Jérôme Droniou
Publikováno v: SIAM Journal on Numerical Analysis
SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2020, 58 (1), pp.153-188
HAL
International audience; We present and analyse a numerical framework for the approximation of nonlinear degenerate elliptic equations of the Stefan or porous medium types. This framework is based on piecewise constant approximations for the functions
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ba90fb3048b68125d94c9489974a4fc
https://hal.science/hal-02016807
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9
Non-conforming finite elements on polytopal meshes
Autor: Raphaèle Herbin, Jérôme Droniou, Robert Eymard, Thierry Gallouët
Publikováno v: Polyhedral Methods in Geosciences
Prof. Daniele Antonio Di Pietro, Prof. Luca Formaggia, Prof. Roland Masson. Polyhedral Methods in Geosciences, Springer, 2021, SEMA SIMAI Springer Series, 978-3-030-69362-6
HAL
Polyhedral Methods in Geosciences ISBN: 9783030693626
International audience; In this work we present a generic framework for non-conforming finite elements on poly-topal meshes, characterised by elements that can be generic polygons/polyhedra. We first present the functional framework on the example of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::614a48ca71517a924709c39cf5cf1323
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10
A Class of Collocated Finite Volume Schemes for Incompressible Flow Problems
Autor: Robert EYMARD, Herbin, R., C Latché, J., Piar, B.
Publikováno v: 18th Conference on Scientific Computing
18th Conference on Scientific Computing, Mar 2009, Podbanské, Slovakia
HAL
International audience; In this paper, we present a class of finite volume schemes for incompressible flow problems. The unknowns are collocated at the center of the control volumes, and the stability of the schemes is obtained by adding to the mass
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e63a60e9ef6cb8e51704aaa591359d85
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