Enhanced convergence estimates for semi-lagrangian schemes Application to the Vlasov-Poisson equation

Frédérique Charles; Bruno Després; Michel Mehrenberger

inria-00629081, version 1

Enhanced convergence estimates for semi-lagrangian schemes Application to the Vlasov-Poisson equation

Frédérique Charles () ¹, Bruno Després ¹, Michel Mehrenberger ^2, 3

(2011)

Résumé : We prove enhanced error estimates for high order semi-lagrangian discretizations of the Vlasov-Poisson equation. It provides new insights into optimal numerical strategies for the numerical solution of this problem. The new error estimate is based on advanced error estimates for semi-lagrangian schemes, also equal to shifted Strang's schemes, for the discretization of the advection equation.

1 : Laboratoire Jacques-Louis Lions (LJLL)
CNRS : UMR7598 – Université Pierre et Marie Curie (UPMC) - Paris VI
2 : Institut de Recherche Mathématique Avancée (IRMA)
CNRS : UMR7501 – Université de Strasbourg
3 : CALVI (INRIA Nancy - Grand Est / IECN / LSIIT / IRMA)
CNRS : UMR7005 – INRIA – Université de Strasbourg – Université de Lorraine

Collaboration : CALVI

inria-00629081, version 1
http://hal.inria.fr/inria-00629081
oai:hal.inria.fr:inria-00629081
Contributeur : Michel Mehrenberger <>
Soumis le : Mercredi 5 Octobre 2011, 06:51:23
Dernière modification le : Jeudi 1 Décembre 2011, 15:39:35

Voir la fiche détaillée

Documents associés

PDF :

Exporter

Bibtex EndNote TEI RefWorks

<?xml version="1.0" encoding="UTF-8"?>
<listBibl xmlns="http://www.tei-c.org/ns/1.0" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML">
<listBibl type="report"><head>Rapports</head>
<biblStruct type="report" xml:id="inria-00629081"><monogr>
<author><persName><forename>Frédérique</forename><surname>Charles</surname></persName>
<affiliation>
<orgName type="laboratory">LJLL</orgName>
<orgName type="team">Laboratoire Jacques-Louis Lions</orgName>
<country>FR</country>
<orgName type="institution">CNRS : UMR7598</orgName>
<orgName type="institution">Université Pierre et Marie Curie (UPMC) - Paris VI</orgName>
</affiliation>
</author>
<author><persName><forename>Bruno</forename><surname>Després</surname></persName>
<affiliation>
<orgName type="laboratory">LJLL</orgName>
<orgName type="team">Laboratoire Jacques-Louis Lions</orgName>
<country>FR</country>
<orgName type="institution">CNRS : UMR7598</orgName>
<orgName type="institution">Université Pierre et Marie Curie (UPMC) - Paris VI</orgName>
</affiliation>
</author>
<author><persName><forename>Michel</forename><surname>Mehrenberger</surname></persName>
<affiliation>
<orgName type="laboratory">IRMA</orgName>
<orgName type="team">Institut de Recherche Mathématique Avancée</orgName>
<country>FR</country>
<orgName type="institution">CNRS : UMR7501</orgName>
<orgName type="institution">Université de Strasbourg</orgName>
</affiliation>
<affiliation>
<orgName type="laboratory">INRIA Nancy - Grand Est / IECN / LSIIT / IRMA</orgName>
<orgName type="team">CALVI</orgName>
<country>FR</country>
<orgName type="institution">CNRS : UMR7005</orgName>
<orgName type="institution">INRIA</orgName>
<orgName type="institution">Université de Strasbourg</orgName>
<orgName type="institution">Université de Lorraine</orgName>
</affiliation>
</author>
<title type="main" level="m">Enhanced convergence estimates for semi-lagrangian schemes Application to the Vlasov-Poisson equation</title><title type="main" level="m">Enhanced convergence estimates for semi-lagrangian schemes Application to the Vlasov-Poisson equation</title><imprint><biblScope type="publicationDate">2011-10-05</biblScope></imprint></monogr><idno type="HALid">http://hal.inria.fr/inria-00629081</idno><idno type="HALFile">http://hal.inria.fr/inria-00629081/PDF/semi_lag15.pdf</idno></biblStruct>
</listBibl>
</listBibl>