A finite element method on composite grids based on Nitsche's method
Artikel i vetenskaplig tidskrift, 2003

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.


Anita Hansbo

Peter F G Hansbo

Chalmers, Tillämpad mekanik, Dynamik

Mats Larson

ESAIM: Mathematical Modelling and Numerical Analysis

Vol. 37 495-514