A note on the convergence analysis of a diffuse-domain approach

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Contributors

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.

Details

Original languageEnglish
Pages (from-to)153-167
Number of pages15
JournalComputational methods in applied mathematics
Volume12
Issue number2
Publication statusPublished - Apr 2012
Peer-reviewedYes

External IDs

ORCID /0000-0002-2458-1597/work/142239731

Keywords

ASJC Scopus subject areas

Keywords

  • Boundary value problems, Diffuse-domain approach