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Article Dans Une Revue Numerische Mathematik Année : 2010

Analysis of the fully discrete fat boundary method

Résumé

The Fat Boundary Method is a method of the Fictitious Domain class, which was proposed to solve elliptic problems in complex geometries with non-conforming meshes. It has been designed to recover optimal convergence at any order, despite of the non-conformity of the mesh, and without any change in the discrete Laplace operator on the simple shape domain. We propose here a detailed proof of this high-order convergence, and propose some numerical tests to illustrate the actual behaviour of the method.

Dates et versions

hal-00665644 , version 1 (02-02-2012)

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Silvia Bertoluzza, Mourad Ismail, Bertrand Maury. Analysis of the fully discrete fat boundary method. Numerische Mathematik, 2010, 118 (1), pp.49-77. ⟨10.1007/s00211-010-0317-4⟩. ⟨hal-00665644⟩
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