Ghost penalty

Erik Burman

doi:10.1016/j.crma.2010.10.006

Numerical Analysis

Ghost penalty
[La pénalisation fantôme]

Présenté par : Philippe G. Ciarlet

Erik Burman ¹

¹ Department of Mathematics, University of Sussex, BN1 9RF Brighton, UK

Comptes Rendus. Mathématique, Volume 348 (2010) no. 21-22, pp. 1217-1220.

Résumé
Abstract

Dans cette Note nous étudions une méthode de pénalisation simple pour des méthodes de domaine fictif. La méthode permet de contrôler la sensibilité du nombre de conditionnement du système linéaire en fonction du positionement du domaine par rapport au maillage.

In this Note we discuss a simple penalty method that allows to increase the robustness of fictitious domain methods. In particular the condition number of the matrix can be upper bounded independently of how the domain boundary intersects the computational mesh, under rather weak assumptions.

Reçu le : 2010-05-12
Accepté le : 2010-10-05
Publié le : 2010-10-28

DOI : 10.1016/j.crma.2010.10.006

Affiliations des auteurs :

Erik Burman ¹

¹ Department of Mathematics, University of Sussex, BN1 9RF Brighton, UK

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Erik Burman. Ghost penalty. Comptes Rendus. Mathématique, Volume 348 (2010) no. 21-22, pp. 1217-1220. doi : 10.1016/j.crma.2010.10.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.10.006/

Bibliographie
Cité par

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