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Cut finite element methods for coupled bulk–surface problems
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, NA.ORCID iD: 0000-0002-4911-467X
2015 (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 (Formula presented.) 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, 2015. Vol. 133, no 2, 203-231 p.
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URN: urn:nbn:se:kth:diva-177223DOI: 10.1007/s00211-015-0744-3ISI: 000374563200001ScopusID: 2-s2.0-84936791564OAI: diva2:873968

QC 20151125

Available from: 2015-11-25 Created: 2015-11-17 Last updated: 2016-06-09Bibliographically approved

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Zahedi, Sara
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Numerical Analysis, NA
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