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An unfitted finite element method, based on Nitsche's method, for elliptic interface problems

Anita Hansbo ; Peter Hansbo (Institutionen för tillämpad mekanik, Dynamik)
Computer Methods in Applied Mechanics and Engineering Vol. 191 (2002), 47-48, p. 5537-5552.
[Artikel, refereegranskad vetenskaplig]

In this paper we propose a method for the finite element solution of elliptic interface problems, using an approach due to Nitsche. The method allows for discontinuities, internal to the elements, in the approximation across the interface. We show that the optimal order of convergence holds without restrictions on the location of the interface relative to the mesh. Further, we derive a posteriori error estimates for the purpose of controlling functionals of the error and present some numerical examples.



Denna post skapades 2007-03-06.
CPL Pubid: 26545

 

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Institutioner (Chalmers)

Institutionen för tillämpad mekanik, Dynamik

Ämnesområden

Numerisk analys

Chalmers infrastruktur