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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