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Fictitious domain f...
Fictitious domain finite element methods using cut elements : II. A stabilized Nitsche method
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- Burman, Erik (författare)
- Department of Mathematics, University of Sussex,University of Sussex
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- Hansbo, Peter (författare)
- Gothenburg University,Jönköping University,JTH. Forskningsmiljö Produktutveckling - Simulering och optimering,Göteborgs universitet,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics
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(creator_code:org_t)
- Elsevier, 2012
- 2012
- Engelska.
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Ingår i: Applied Numerical Mathematics. - : Elsevier. - 0168-9274 .- 1873-5460. ; 62:4, s. 328-341
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Abstract
Ämnesord
Stäng
- We extend the classical Nitsche type weak boundary conditions to a fictitious domain setting. An additional penalty term, acting on the jumps of the gradients over element faces in the interface zone, is added to ensure that the conditioning of the matrix is independent of how the boundary cuts the mesh. Optimal a priori error estimates in the H1- and L2-norms are proved as well as an upper bound on the condition number of the system matrix.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Interior penalty
- fictitious domain
- finite element
- Interior penalty
- Fictitious domain
- Finite element
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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