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arXiv · 1505.00372

High Order Cut Finite Element Methods for the Stokes Problem

August Johansson·Mats G. Larson·Anders Logg
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Abstract

We develop a high order cut finite element method for the Stokes problem based on general inf-sup stable finite element spaces. We focus in particular on composite meshes consisting of one mesh that overlaps another. The method is based on a Nitsche formulation of the interface condition together with a stabilization term. Starting from inf-sup stable spaces on the two meshes, we prove that the resulting composite method is indeed inf-sup stable and as a consequence optimal \emph{a~priori} error estimates hold.

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August Johansson, Mats G. Larson, Anders Logg. 2015-05-02. High Order Cut Finite Element Methods for the Stokes Problem. https://arxiv.org/abs/1505.00372

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