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overlapping grids.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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A finite element method on composite grids basedon Nitsche's method
Anita Hansbo, Peter Hansbo, Mats G. Larson
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 37 / Issue 3 / May 2003

Published online by Cambridge University Press:

15 April 2004, pp. 495-514

Print publication:

May 2003
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In this paper we propose a finite element method for the approximation ofsecond order elliptic problems on composite grids. The method isbased on continuous piecewise polynomial approximation on eachgrid and weak enforcement of the proper continuity at anartificial 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.