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Interior-penalty-stabilized Lagrange multiplier methods for the finite-element solution of elliptic interface problems
Chalmers University of Technology and Göteborg University.
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
2010 (English)In: IMA Journal of Numerical Analysis, ISSN 0272-4979, E-ISSN 1464-3642, Vol. 30, no 3, 870-885 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2010. Vol. 30, no 3, 870-885 p.
Keyword [en]
interface problem, non-matching grids, edge stabilization
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15817DOI: 10.1093/imanum/drn081ISI: 000280710400012OAI: oai:DiVA.org:hj-15817DiVA: diva2:440338
Available from: 2011-09-12 Created: 2011-08-16 Last updated: 2012-02-06Bibliographically approved

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Hansbo, Peter
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