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Interior-penalty-st...
Interior-penalty-stabilized Lagrange multiplier methods for the finite-element solution of elliptic interface problems
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- Burman, Erik, 1968 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Ecole Polytechnique Federale de Lausanne (EPFL),Swiss Federal Institute of Technology in Lausanne (EPFL),Chalmers University of Technology and Göteborg University
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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)
- 2009-04-07
- 2010
- Engelska.
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Ingår i: IMA Journal of Numerical Analysis. - : Oxford University Press (OUP). - 0272-4979 .- 1464-3642. ; 30:3, s. 870-885
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Abstract
Ämnesord
Stäng
- In this paper we propose a class of jump-stabilized Lagrange multiplier methods for the finite-element solution of multidomain elliptic partial differential equations using piecewise-constant or continuous piecewise-linear approximations of the multipliers. For the purpose of stabilization we use the jumps in derivatives of the multipliers or, for piecewise constants, the jump in the multipliers themselves, across element borders. The ideas are illustrated using Poisson's equation as a model, and the proposed method is shown to be stable and optimally convergent. Numerical experiments demonstrating the theoretical results are also presented.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- interface problem
- non-matching grids
- edge stabilization
- non-matching grids
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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