Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Volume 104, Issue 7, Pages 472-501Publisher
WILEY
DOI: 10.1002/nme.4823
Keywords
extended finite element method; unfitted methods; finite element methods; meshfree methods; Galerkin; level sets; stability
Funding
- EPSRC [EP/J002312/2]
- Swedish Foundation for Strategic Research [AM13-0029]
- Swedish Research Council [2011-4992, 2013-4708]
- Center of Excellence grant from the Research Council of Norway
- EPSRC [EP/J002313/1, EP/J002313/2] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/J002313/2, EP/J002313/1] Funding Source: researchfish
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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. Copyright (C) 2014 John Wiley & Sons, Ltd.
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