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Cut finite element methods for coupled bulk-surface problems
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2016 (English)In: Numerische Mathematik, ISSN 0029-599X, E-ISSN 0945-3245, Vol. 133, no 2, 203-231 p.Article in journal (Refereed) PublishedText
Abstract [en]

We develop a cut finite element method for a second order elliptic coupled bulk-surface model problem. We prove a priori estimates for the energy and norms of the error. Using stabilization terms we show that the resulting algebraic system of equations has a similar condition number as a standard fitted finite element method. Finally, we present a numerical example illustrating the accuracy and the robustness of our approach.

Place, publisher, year, edition, pages
Springer , 2016. Vol. 133, no 2, 203-231 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-121437DOI: 10.1007/s00211-015-0744-3ISI: 000374563200001OAI: oai:DiVA.org:umu-121437DiVA: diva2:942236
Available from: 2016-06-23 Created: 2016-06-02 Last updated: 2016-06-23Bibliographically approved

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Larson, Mats G.
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Department of Mathematics and Mathematical Statistics
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ReferencesLink to record
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