Fictitious domain finite element methods using cut elements: I. A stabilized Lagrange multiplier method
Artikel i vetenskaplig tidskrift, 2010

We propose a fictitious domain method where the mesh is cut by the boundary. The primal solution is computed only up to the boundary; the solution itself is defined also by nodes outside the domain, but the weak finite element form only involves those parts of the elements that are located inside the domain. The multipliers are defined as being element-wise constant on the whole (including the extension) of the cut elements in the mesh defining the primal variable. Inf–sup stability is obtained by penalizing the jump of the multiplier over element faces. We consider the case of a polygonal domain with possibly curved boundaries. The method has optimal convergence properties.

Finite element

Interior penalty

Fictitious domain

Författare

Erik Burman

University of Sussex

Peter F G Hansbo

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Computer Methods in Applied Mechanics and Engineering

0045-7825 (ISSN)

Vol. 199 2680-2686

Ämneskategorier

Beräkningsmatematik

DOI

10.1016/j.cma.2010.05.011