CutFEM: Discretizing geometry and partial differential equations

Summary 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 interfac...

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Bibliographic Details
Published inInternational journal for numerical methods in engineering Vol. 104; no. 7; pp. 472 - 501
Main Authors Burman, Erik, Claus, Susanne, Hansbo, Peter, Larson, Mats G., Massing, André
Format Journal Article
LanguageEnglish
Published Bognor Regis Blackwell Publishing Ltd 16.11.2015
Wiley Subscription Services, Inc
Subjects
Boundaries
Computer aided design
Discretization
extended finite element method
Finite element method
finite element methods
Galerkin
lerkin
level sets
Mathematical analysis
Mathematical models
meshfree methods
Numerical analysis
Partial differential equations
stability
unfitted methods
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Summary:Summary 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 © 2014 John Wiley & Sons, Ltd.
Bibliography:istex:C6667D27D37280B575401B8F53559BF333D067F5
ark:/67375/WNG-2WRP27Z7-B
ArticleID:NME4823
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:0029-5981
1097-0207
1097-0207
DOI:10.1002/nme.4823