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Fictitious domain finite element methods using cut elements: II. A stabilized Nitsche method
Department of Mathematics, University of Sussex.
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
2012 (English)In: Applied Numerical Mathematics, ISSN 0168-9274, E-ISSN 1873-5460, Vol. 62, no 4, p. 328-341Article in journal (Refereed) Published
Abstract [en]

We extend the classical Nitsche type weak boundary conditions to a fictitious domain setting. An additional penalty term, acting on the jumps of the gradients over element faces in the interface zone, is added to ensure that the conditioning of the matrix is independent of how the boundary cuts the mesh. Optimal a priori error estimates in the H1- and L2-norms are proved as well as an upper bound on the condition number of the system matrix. 

Place, publisher, year, edition, pages
Elsevier, 2012. Vol. 62, no 4, p. 328-341
Keywords [en]
Interior penalty, fictitious domain, finite element
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-17716DOI: 10.1016/j.apnum.2011.01.008ISI: 000301902200008Local ID: JTHProduktutvecklingISOAI: oai:DiVA.org:hj-17716DiVA, id: diva2:505835
Available from: 2012-02-26 Created: 2012-02-26 Last updated: 2018-06-01Bibliographically approved

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Hansbo, Peter

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