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Fictitious domain finite element methods using cut elements: I. A stabilized Lagrange multiplier method
University of Sussex.
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
2010 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 199, no 41-44, 2680-2686 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2010. Vol. 199, no 41-44, 2680-2686 p.
Keyword [en]
Interior penalty, Fictitious domain, Finite element
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15820DOI: 10.1016/j.cma.2010.05.011ISI: 000284676500006OAI: oai:DiVA.org:hj-15820DiVA: diva2:440335
Available from: 2011-09-12 Created: 2011-08-16 Last updated: 2012-02-06Bibliographically approved

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Hansbo, Peter
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