Fictitious domain finite element methods using cut elements: II. A stabilized Nitsche method
Paper i proceeding, 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.

Fictitious domain

Interior penalty

Finite element

Författare

Erik Burman

University of Sussex

Peter F G Hansbo

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Applied Numerical Mathematics

0168-9274 (ISSN)

Vol. 62 4 328-341

Third Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2010)
Concepcion, Chile,

Ämneskategorier

Matematik

DOI

10.1016/j.apnum.2011.01.008

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Senast uppdaterat

2021-07-21