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A finite element method on composite grids based on Nitsche's method
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
2003 (English)In: Mathematical Modelling and Numerical Analysis, ISSN 0764-583X, Vol. 37, no 3, 495-514 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we propose a finite element method for the approximation of second order elliptic problems on composite grids. The method is based on continuous piecewise polynomial approximation on each grid and weak enforcement of the proper continuity at an artificial interface defined by edges (or faces) of one the grids. We prove optimal order a priori and energy type a posteriori error estimates in 2 and 3 space dimensions, and present some numerical examples.

Place, publisher, year, edition, pages
2003. Vol. 37, no 3, 495-514 p.
Keyword [en]
Nitsche's method, Overlapping grids
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hj:diva-15782DOI: 10.1051/m2an:2003039OAI: oai:DiVA.org:hj-15782DiVA: diva2:434216
Available from: 2011-08-12 Created: 2011-08-12 Last updated: 2012-02-07Bibliographically approved

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Hansbo, AnitaHansbo, Peter
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