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Fictitious domain f...
Fictitious domain finite element methods using cut elements: I. A stabilized Lagrange multiplier method
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- Burman, Erik, 1968 (författare)
- University of Sussex
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- Hansbo, Peter F G, 1959 (författare)
- Jönköping University,Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology,JTH. Forskningsmiljö Produktutveckling - Simulering och optimering
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(creator_code:org_t)
- Elsevier BV, 2010
- 2010
- Engelska.
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Ingår i: Computer Methods in Applied Mechanics and Engineering. - : Elsevier BV. - 0045-7825 .- 1879-2138. ; 199:41-44, s. 2680-2686
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Abstract
Ämnesord
Stäng
- We propose a fictitious domain method where the mesh is cut by the boundary. The primal solution is computed only up to the boundary; the solution itself is defined also by nodes outside the domain, but the weak finite element form only involves those parts of the elements that are located inside the domain. The multipliers are defined as being element-wise constant on the whole (including the extension) of the cut elements in the mesh defining the primal variable. Inf–sup stability is obtained by penalizing the jump of the multiplier over element faces. We consider the case of a polygonal domain with possibly curved boundaries. The method has optimal convergence properties.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Interior penalty
- Fictitious domain
- Finite element
- Finite element
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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