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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.
Högskolan i Jönköping, Tekniska Högskolan, JTH. Forskningsmiljö Produktutveckling - Simulering och optimering.
2010 (engelsk)Inngår i: IMA Journal of Numerical Analysis, ISSN 0272-4979, E-ISSN 1464-3642, Vol. 30, nr 3, s. 870-885Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
2010. Vol. 30, nr 3, s. 870-885
Emneord [en]
interface problem, non-matching grids, edge stabilization
HSV kategori
Identifikatorer
URN: urn:nbn:se:hj:diva-15817DOI: 10.1093/imanum/drn081ISI: 000280710400012OAI: oai:DiVA.org:hj-15817DiVA, id: diva2:440338
Tilgjengelig fra: 2011-09-12 Laget: 2011-08-16 Sist oppdatert: 2017-12-08bibliografisk kontrollert

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