A Note on the Convergence Analysis of a Diffuse-domain Approach

Sebastian Franz; Hans-Görg Roos; Roland Gärtner; Axel Voigt

doi:10.2478/cmam-2012-0017

Published by De Gruyter January 1, 2012

A Note on the Convergence Analysis of a Diffuse-domain Approach

Sebastian Franz , Hans-Görg Roos , Roland Gärtner and Axel Voigt

From the journal Computational Methods in Applied Mathematics

https://doi.org/10.2478/cmam-2012-0017

Showing a limited preview of this publication:

Abstract

We analyse the error behaviour of a diffuse-domain approximation of an elliptic differential equation. In one dimension and for a half-plane problem in two dimensions an approximation quality of order one in the interface parameter is shown. Some supporting numerical experiments are also presented.

Keywords: diffuse-domain approach; boundary value problems

Received: 2011-12-15

Revised: 2012-03-23

Accepted: 2012-03-27

Published Online: 2012

Published in Print: 2012

A Note on the Convergence Analysis of a Diffuse-domain Approach

Abstract

Journal and Issue

Articles in the same Issue