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A finite element method for domain decomposition with non-matching grids
University of Heidelberg.
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
Helsinki University of Technology.
2003 (English)In: Mathematical Modelling and Numerical Analysis, ISSN 0764-583X, Vol. 37, no 2, 209-225 p.Article in journal (Refereed) Published
Abstract [en]

In this note, we propose and analyse a method for handling interfaces between nonmatching grids based on an approach suggested by Nitsche (1971) for the approximation of Dirichlet boundary conditions. The exposition is limited to self-adjoint elliptic problems, using Poisson's equation as a model. A priori and a posteriori error estimates are given. Some numerical results are included.

Place, publisher, year, edition, pages
2003. Vol. 37, no 2, 209-225 p.
Keyword [en]
Nitsche's method, domain decomposition, non-matching grids
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15843DOI: 10.1051/m2an:2003023ISI: 000184204800001OAI: oai:DiVA.org:hj-15843DiVA: diva2:440302
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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