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A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
2005 (English)In: Numerische Mathematik, ISSN 0029-599X, E-ISSN 0945-3245, Vol. 100, no 1, p. 91-115Article in journal (Refereed) Published
Abstract [en]

In this paper we propose a Lagrange multiplier method for the finite element solution of multi-domain elliptic partial differential equations using non-matching meshes. The interface Lagrange multiplier is chosen with the purpose of avoiding the cumbersome integration of products of functions on unrelated meshes (e.g, we will consider global polynomials as multiplier). The ideas are illustrated using Poissons 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
2005. Vol. 100, no 1, p. 91-115
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Engineering and Technology
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URN: urn:nbn:se:hj:diva-15832DOI: 10.1007/s00211-005-0587-4ISI: 000227511900005OAI: oai:DiVA.org:hj-15832DiVA, id: diva2:440315
Available from: 2011-09-12 Created: 2011-08-16 Last updated: 2017-12-08Bibliographically approved

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Hansbo, Peter

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