High Order Cut Finite Element Methods for the Stokes Problem
Artikel i vetenskaplig tidskrift, 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

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Mats G Larson

Umeå universitet

Advanced Modeling and Simulation in Engineering Sciences

2213-7467 (eISSN)

Vol. 2 artikel nr 24-


Building Futures (2010-2018)





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