To the top

Page Manager: Webmaster
Last update: 9/11/2012 3:13 PM

Tell a friend about this page
Print version

A Nitsche-Based Cut Finit… - University of Gothenburg, Sweden Till startsida
To content Read more about how we use cookies on

A Nitsche-Based Cut Finite Element Method for a Fluid--Structure Interaction Problem

Journal article
Authors Andre Massing
Mats G. Larson
Anders Logg
Marie E. Rognes
Published in Communications in Applied Mathematics and Computational Science
Volume 10
Issue 2
Pages 97-120
ISSN 1559-3940
Publication year 2015
Published at Department of Mathematical Sciences, Mathematics
Pages 97-120
Language en
Keywords fluid-structure interaction, overlapping meshes, cut finite element method, embedded meshes, stabilized finite element methods, Nitsche's method
Subject categories Computational Mathematics


We present a new composite mesh finite element method for fluid-structure interaction problems. The method is based on surrounding the structure by a boundary-fitted fluid mesh that is embedded into a fixed background fluid mesh. The embedding allows for an arbitrary overlap of the fluid meshes. The coupling between the embedded and background fluid meshes is enforced using a stabilized Nitsche formulation that allows us to establish stability and optimal-order a priori error estimates. We consider here a steady state fluid-structure interaction problem where a hyperelastic structure interacts with a viscous fluid modeled by the Stokes equations. We evaluate an iterative solution procedure based on splitting and present three-dimensional numerical examples.

Page Manager: Webmaster|Last update: 9/11/2012

The University of Gothenburg uses cookies to provide you with the best possible user experience. By continuing on this website, you approve of our use of cookies.  What are cookies?