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Article Dans Une Revue Applied Numerical Mathematics Année : 2014

A local projection stabilization of fictitious domain method for elliptic boundary value problems

Résumé

In this paper, a new consistent method based on local projections for the stabilization of a Dirichlet condition is presented in the framework of finite element method with a fictitious domain approach. The presentation is made on the Poisson problem but the theoretical and numerical results can be straightforwardly extended to any elliptic boundary value problem. A numerical comparison is performed with the Barbosa-Hughes stabilization technique. The advantage of the new stabilization technique is to affect only the equation on multipliers and thus to be equation independent.
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Dates et versions

hal-00713115 , version 1 (29-06-2012)

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  • HAL Id : hal-00713115 , version 1

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Amdouni Saber, Maher Moakher, Yves Renard. A local projection stabilization of fictitious domain method for elliptic boundary value problems. Applied Numerical Mathematics, 2014, 76, pp.60-75. ⟨hal-00713115⟩
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