A Stabilized Nitsche Fictitious Domain Method for the Stokes Problem

  • Massing A
  • Larson M
  • Logg A
 et al. 
  • 27


    Mendeley users who have this article in their library.
  • 35


    Citations of this article.


We develop a Nitsche fictitious domain method for the Stokes problem starting from a stabilized Galerkin finite element method with low order elements for both the velocity and the pressure. By introducing additional penalty terms for the jumps in the normal velocity and pressure gradients in the vicinity of the boundary, we show that the method is inf-sup stable. As a consequence, optimal order a priori error estimates are established. Moreover, the condition number of the resulting stiffness matrix is shown to be bounded independently of the location of the boundary. We discuss a general, flexible and freely available implementation of the method in three spatial dimensions and present numerical examples supporting the theoretical results.

Author-supplied keywords

  • Fictitious domain
  • Nitsche’s method
  • Stabilized finite element methods
  • Stokes problem

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free