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

Anita Hansbo ; Peter Hansbo (Institutionen för tillämpad mekanik, Dynamik) ; Mats Larson
ESAIM: Mathematical Modelling and Numerical Analysis Vol. 37 (2003), 3, p. 495-514.
[Artikel, refereegranskad vetenskaplig]

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.



Denna post skapades 2007-03-06.
CPL Pubid: 26541

 

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Institutioner (Chalmers)

Institutionen för tillämpad mekanik, Dynamik

Ämnesområden

Numerisk analys

Chalmers infrastruktur