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Towards an Implementation of Nitsche's Method on Overlapping Meshes in 3D
Center for Biomedical Computing at Simula Research Laboratory, P.O. Box 134, 1325 Lysaker; Department of Informatics, University of Oslo, Norway.ORCID iD: 0000-0003-0803-9041
Chalmers University.ORCID iD: 0000-0002-1547-4773
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2010 (English)In: AIP Conference Proceedings / [ed] Theodore E. Simos, George Psihoyios, Ch. Tsitouras, American Institute of Physics (AIP), 2010, Vol. 1281, 783-786 p.Conference paper, (Refereed)
Abstract [en]

Nitsche's method may be used to derive a systematic finite element formulation for problems with overlapping meshes that is stable and has optimal order. In this note, we formulate the method for a linear elastic model problem with discontinuous material properties. We discuss the implementation aspects, including computation of intersections of elements and integrals on the resulting polyhedra, and illustrate the method on a three dimensional test problem.

Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2010. Vol. 1281, 783-786 p.
Series
AIP Conference Proceedings, ISSN 0094-243X
Keyword [en]
Nitsche method, discontinuous Galerkin method, immersed interface
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-130965DOI: 10.1063/1.3498600ISI: 000289661500206ISBN: 978-0-7354-0834-0 (print)OAI: oai:DiVA.org:umu-130965DiVA: diva2:1070638
Conference
International Conference on Numerical Analysis and Applied Mathematics, SEP 19-25, 2010, Rhodes, GREECE
Available from: 2017-02-01 Created: 2017-02-01 Last updated: 2017-02-03Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
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