Fictitious domain finite element methods using cut elements: II. A stabilized Nitsche method
Journal article, 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.

Interior penalty

Finite element

Fictitious domain

Author

Erik Burman

University of Sussex

Peter F G Hansbo

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Applied Numerical Mathematics

0168-9274 (ISSN)

Vol. 62 4 328-341

Subject Categories

Mathematics

Computational Mathematics

DOI

10.1016/j.apnum.2011.01.008

More information

Latest update

10/20/2023