Comptes Rendus
Numerical Analysis
Ghost penalty
[La pénalisation fantôme]
Comptes Rendus. Mathématique, Volume 348 (2010) no. 21-22, pp. 1217-1220.

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.

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Accepté le :
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DOI : 10.1016/j.crma.2010.10.006
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/

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[6] A. Hansbo; P. Hansbo An unfitted finite element method, based on Nitsche's method, for elliptic interface problems, Comput. Methods Appl. Mech. Engrg., Volume 191 (2002) no. 47–48, pp. 5537-5552

[7] J. Haslinger; Y. Renard A new fictitious domain approach inspired by the extended finite element method, SIAM J. Numer. Anal., Volume 47 (2009) no. 2, pp. 1474-1499

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