High Order Cut Finite Element Methods for the Stokes Problem
Journal article, 2015

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.

Interface problem

Stokes problem

Unfitted finite element methods

High order

Nitsche’s method


August Johansson

Simula Research Laboratory

Anders Logg

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Mats G Larson

Umeå University

Advanced Modeling and Simulation in Engineering Sciences

2213-7467 (eISSN)

Vol. 2 artikel nr 24-

Areas of Advance

Building Futures (2010-2018)

Subject Categories

Computational Mathematics



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