A finite element method on composite grids based on Nitsche's method
Journal article, 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.

Author

Anita Hansbo

University West

Peter F G Hansbo

Dynamics

Mats Larson

Dynamics

ESAIM: Mathematical Modelling and Numerical Analysis

Vol. 37 3 495-514

Subject Categories

Computational Mathematics

DOI

10.1051/m2an:2003039

More information

Latest update

9/12/2023