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A finite element me...
A finite element method on composite grids based on Nitsche's method
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- Hansbo, Anita, 1960- (author)
- Högskolan Väst,University West
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- Hansbo, Peter, 1959- (author)
- Jönköping University,JTH. Forskningsmiljö Produktutveckling - Simulering och optimering,Chalmers tekniska högskola,Chalmers University of Technology
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- Larson, Mats G (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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Högskolan Väst JTH Forskningsmiljö Produktutveckling - Simulering och optimering (creator_code:org_t)
- 2004-04-15
- 2003
- English.
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In: Mathematical Modelling and Numerical Analysis. - : EDP Sciences. - 0764-583X .- 1290-3841. ; 37:3, s. 495-514
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- Nitsche's method
- Overlapping grids
- MATHEMATICS
- MATEMATIK
Publication and Content Type
- ref (subject category)
- art (subject category)
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