CPL - Chalmers Publication Library
| Utbildning | Forskning | Styrkeområden | Om Chalmers | In English In English Ej inloggad.

High Order Cut Finite Element Methods for the Stokes Problem

August Johansson ; Anders Logg (Institutionen för matematiska vetenskaper, matematik) ; Mats G. Larson
Advanced Modeling and Simulation in Engineering Sciences (2213-7467). Vol. 2 (2015), p. artikel nr 24.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Interface problem, High order, Stokes problem, Nitsche’s method, Unfitted finite element methods



Den här publikationen ingår i följande styrkeområden:

Läs mer om Chalmers styrkeområden  

Denna post skapades 2015-09-28. Senast ändrad 2015-10-06.
CPL Pubid: 223310

 

Läs direkt!


Länk till annan sajt (kan kräva inloggning)


Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Building Futures
Beräkningsmatematik

Chalmers infrastruktur