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A finite element method on composite grids based on Nitsche's method

Hansbo, Anita, 1960- (author)
Högskolan Väst,University West
Hansbo, Peter, 1959- (author)
Jönköping University,JTH. Forskningsmiljö Produktutveckling - Simulering och optimering,Chalmers tekniska högskola,Chalmers University of Technology
Larson, Mats G (author)
Chalmers tekniska högskola,Chalmers University of Technology
Högskolan Väst JTH Forskningsmiljö Produktutveckling - Simulering och optimering (creator_code:org_t)
2004-04-15
2003
English.
In: Mathematical Modelling and Numerical Analysis. - : EDP Sciences. - 0764-583X .- 1290-3841. ; 37:3, s. 495-514
  • Journal article (peer-reviewed)
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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