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- Massing, AndreSimula Research Laboratory As (author)
Efficient implementation of finite element methods on nonmatching and overlapping meshes in three dimensions
- Article/chapterEnglish2013
Publisher, publication year, extent ...
- 2013
- electronicrdacarrier
Numbers
- LIBRIS-ID:oai:research.chalmers.se:41415265-219e-452c-bdde-f00fe5671d73
- https://research.chalmers.se/publication/191172URI
- https://doi.org/10.1137/11085949XDOI
- https://gup.ub.gu.se/publication/191172URI
- https://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-68276URI
Supplementary language notes
- Language:English
- Summary in:English
Part of subdatabase
- SwePubSwePub
Classification
Notes
- In recent years, a number of finite element methods have been formulated for the solution of partial differential equations on complex geometries based on nonmatching or overlapping meshes. Examples of such methods are the fictitious domain method, the extended finite element method, and Nitsche's method. In all these methods, integrals must be computed over cut cells or subsimplices, which is challenging to implement, especially in three space dimensions. In this note, we address the main challenges of such an implementation and demonstrate good performance of a fully general code for automatic detection of mesh intersections and integration over cut cells and subsimplices. As a canonical example of an overlapping mesh method, we consider Nitsche's method, which we apply to Poisson's equation and a linear elastic problem. © 2013 Society for Industrial and Applied Mathematics.
Subject headings and genre
- NATURVETENSKAP Matematik hsv//swe
- NATURAL SCIENCES Mathematics hsv//eng
- NATURVETENSKAP Matematik Beräkningsmatematik hsv//swe
- NATURAL SCIENCES Mathematics Computational Mathematics hsv//eng
- Non-matching mesh
- Algorithm
- Extended finite element method
- Immersed interface
- Discontinuous Galerkin method
- Implementation
- Nitsche method
- Computational geometry
- Overlapping mesh
- Algorithm
- Computational geometry
- Discontinuous Galerkin method
- Extended finite element method
- Immersed interface
- Implementation
- Nitsche method
- Non-matching mesh
- Overlapping mesh
Added entries (persons, corporate bodies, meetings, titles ...)
- Larson, Mats G.Umeå universitet,Institutionen för matematik och matematisk statistik(Swepub:umu)mala0002 (author)
- Logg, Anders,1976Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics(Swepub:gu)xlogan (author)
- Simula Research Laboratory AsInstitutionen för matematik och matematisk statistik (creator_code:org_t)
Related titles
- In:SIAM Journal of Scientific Computing35:1, s. C23-C471064-82751095-71971095-7200
Internet link
- http://publications.lib.chalmers.se/records/fulltext/191172/local_191172.pdfFULLTEXT
- https://gup.ub.gu.se/publication/191172FULLTEXT
- https://research.chalmers.se/publication/191172
- https://doi.org/10.1137/11085949X
- https://gup.ub.gu.se/publication/191172
- https://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-68276
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