High order cut finite element methods for the Stokes problem

被引：0

作者：

Johansson A. ^{[1
]}

Larson M.G. ^{[2
]}

Logg A. ^{[3
]}

机构：

[1] Center for Biomedical Computing, Simula Research Laboratory, P.O. Box 134, Lysaker

[2] Department of Mathematics and Mathematical Statistics, Umeå University, Umeå

[3] Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, Göteborg

来源：

Advanced Modeling and Simulation in Engineering Sciences | / 2卷 / 1期

关键词：

High order; Interface problem; Nitsche’s method; Stokes problem; Unfitted finite element methods;

D O I：

10.1186/s40323-015-0043-7

中图分类号：

学科分类号：

摘要：

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 a priori error estimates hold. © 2015, Johansson et al.

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