Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

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

Anita Hansbo;  Peter Hansbo;  Mats G. Larson — 2003

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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.

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

Anita Hansbo;  Peter Hansbo;  Mats G. Larson — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

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 and energy type error estimates in 2 and 3 space dimensions, and present some numerical examples.

Page 1

Download Results (CSV)