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Cut finite element methods for coupled bulk–surface problems
University College London.
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization. Jönköping University, School of Engineering, JTH, Product Development.ORCID iD: 0000-0001-7352-1550
Umeå University.
KTH Royal Institute of Technology.
2016 (English)In: Numerische Mathematik, ISSN 0029-599X, E-ISSN 0945-3245, Vol. 133, no 2, 203-231 p.Article in journal (Refereed) Published
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 L2 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.
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Computational Mathematics
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URN: urn:nbn:se:hj:diva-29807DOI: 10.1007/s00211-015-0744-3ScopusID: 2-s2.0-84936791564Local ID: JTHMaterialISOAI: oai:DiVA.org:hj-29807DiVA: diva2:921989
Available from: 2016-04-21 Created: 2016-04-21 Last updated: 2016-10-20Bibliographically approved

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Hansbo, Peter
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