Uniform-in-Time Convergence of Numerical Schemes for Richards' and Stefan's Models

Jerome Droniou; Robert Eymard; Cindy Guichard

doi:10.1007/978-3-319-05684-5_23

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Uniform-in-Time Convergence of Numerical Schemes for Richards' and Stefan's Models

Jerome Droniou, Robert Eymard et Cindy Guichard

Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects FVCA 7, Berlin, June 2014, Vol.77, pp.247-254

Springer Proceedings in Mathematics & Statistics

01/01/2014

DOI: https://doi.org/10.1007/978-3-319-05684-5_23

Résumé

Mathematics

Physical Sciences

Science & Technology

Statistics & Probability

We prove that all Gradient Schemes-which include Finite Element, Mixed Finite Element, Finite Volume methods-converge uniformly in time when applied to a family of nonlinear parabolic equations which contains Richards and Stefan'smodels. We also provide numerical results to confirm our theoretical analysis.

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Détails

Titre: Uniform-in-Time Convergence of Numerical Schemes for Richards' and Stefan's Models
Créateurs - sans rôle: Jerome Droniou - Monash Univ, Sch Math Sci, Clayton, Vic 3800, Australia
Robert Eymard - UPEC, CNRS, UPEM, Lab Anal & Math Appl, F-77454 Marne La Vallee 2, France
Cindy Guichard - UPMC Univ Paris 06, Sorbonne Univ, Lab Jacques Louis Lions, UMR 7598, F-75005 Paris, France
Contributeurs - sans rôle: J Fuhrmann
M Ohlberger
C Rohde
Détails de publication: Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects FVCA 7, Berlin, June 2014, Vol.77, pp.247-254
Publications en série: Springer Proceedings in Mathematics & Statistics
Éditeur: Springer Nature
Nombre de pages: 8
Identifiants: 99162786309311
Unité académique: Institut Montpelliérain Alexander Grothendieck - IMAG
Langue: English
Type de ressource: Conference proceeding