Fictitious domain finite element methods using cut elements: II. A stabilized Nitsche method
Artikel i vetenskaplig tidskrift, 2012

We extend the classical Nitsche type weak boundary conditions to a fictitious domain setting. An additional penalty term, acting on the jumps of the gradients over element faces in the interface zone, is added to ensure that the conditioning of the matrix is independent of how the boundary cuts the mesh. Optimal a priori error estimates in the H-1- and L-2-norms are proved as well as an upper bound on the condition number of the system matrix.

Finite element

Fictitious domain

Interior penalty

Författare

Erik Burman

University of Sussex

Peter F G Hansbo

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Applied Numerical Mathematics

0168-9274 (ISSN)

Vol. 62 328-341

Ämneskategorier

Matematik

DOI

10.1016/j.apnum.2011.01.008