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An hp-Nitsche's met...
An hp-Nitsche's method for interface problems with nonconforming unstructured finite element meshes
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- Chernov, A.V. (författare)
- Universität Bonn,University of Bonn
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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)
- ISBN 9783642153365
- 2010-09-17
- 2011
- Engelska.
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Ingår i: Lecture Notes in Computational Science and Engineering: 8th International Conference on Spectral and High Order Methods, ICOSAHOM'09; Trondheim; Norway; 22 June 2009 through 26 June 2009. - Berlin, Heidelberg : Springer Berlin Heidelberg. - 1439-7358 .- 2197-7100. - 9783642153365 ; 76, s. 153-161, s. 153-161
- Relaterad länk:
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Abstract
Ämnesord
Stäng
- In this paper we propose an hp-Nitsche's method for the finite element solution of interface elliptic problems using non-matched unstructured meshes of triangles and parallelograms in ℝ2 and tetrahedra and parallelepipeds in ℝ3. We obtain an explicit lower bound for the penalty weighting function in terms of the local inverse inequality constant. We prove a priori error estimates which are explicit in the mesh size h and in the polynomial degree p. The error bound is optimal in h and suboptimal in polynomial degree by p1/2.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
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