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An unfitted finite element method, based on Nitsche's method, for elliptic interface problems
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
2002 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 191, no 47-48, 5537-5552 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we propose a method for the finite element solution of elliptic interface problem, using an approach due to Nitsche. The method allows for discontinuities, internal to the elements, in the approximation across the interface. We show that 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.

Place, publisher, year, edition, pages
2002. Vol. 191, no 47-48, 5537-5552 p.
Keyword [en]
Approximation theory, Convergence of numerical methods, Errors, Finite element method, Discontinuities, Computational methods
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hj:diva-15783DOI: 10.1016/S0045-7825(02)00524-8OAI: oai:DiVA.org:hj-15783DiVA: diva2:434217
Available from: 2011-08-12 Created: 2011-08-12 Last updated: 2012-02-07Bibliographically approved

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Hansbo, AnitaHansbo, Peter
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