A Domain Decomposition Method on Nested Domains and Nonmatching Grids

Bernd Flemisch, Barbara I. Wohlmuth

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


A one directionally coupled problem on two nested domains is analyzed. The global domain and the subdomain are discretized by two triangulations that do not match on the subdomain. The connection between the two grids is established by using a stable projection operator onto the interface. An a priori error analysis is carried out and several numerical examples are given. The method is ideally suited for the case of a moving subdomain.

Original languageEnglish
Pages (from-to)374-387
Number of pages14
JournalNumerical Methods for Partial Differential Equations
Issue number3
StatePublished - May 2004
Externally publishedYes


  • Domain decomposition
  • Mortar finite elements
  • Nested domains


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