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Preprints, Working Papers, ... Year : 2019

A smooth extension method for transmission problems

Abstract

In this work, we present a numerical method for the resolution of transmission problems with non-conformal meshes which preserves the optimal rates of convergence in space. The smooth extension method is a fictitious domain approach based on a control formulation stated as a minimization problem, that we prove to be equivalent to the initial transmission problem. Formulated as a minimization problem, the transmission problem can be solved with standard finite element function spaces and usual optimization algorithms. The method is applied to different transmission problems (Laplace, Stokes and a fluid-structure interaction problem) and compared to standard finite element methods.
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Dates and versions

hal-02146271 , version 1 (03-06-2019)
hal-02146271 , version 2 (23-10-2019)

Identifiers

  • HAL Id : hal-02146271 , version 2

Cite

Astrid Decoene, Sébastien Martin, Fabien Vergnet. A smooth extension method for transmission problems. 2019. ⟨hal-02146271v2⟩
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