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CutFEM: Discretizing geometry and partial differential equations
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
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2015 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 104, no 7, 472-501 p.Article in journal (Refereed) Published
Abstract [en]

We discuss recent advances on robust unfitted finite element methods on cut meshes. These methods are designed to facilitate computations on complex geometries obtained, for example, from computer-aided design or image data from applied sciences. Both the treatment of boundaries and interfaces and the discretization of PDEs on surfaces are discussed and illustrated numerically.

Place, publisher, year, edition, pages
2015. Vol. 104, no 7, 472-501 p.
Keyword [en]
extended finite element method, unfitted methods, finite element methods, meshfree methods, lerkin, level sets, stability
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-110976DOI: 10.1002/nme.4823ISI: 000362552500002OAI: oai:DiVA.org:umu-110976DiVA: diva2:872311
Note

Special Issue: SI

Available from: 2015-11-18 Created: 2015-11-02 Last updated: 2017-12-01Bibliographically approved

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Larson, Mats G.Massing, Andre
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