Premium
A domain decomposition method on nested domains and nonmatching grids
Author(s) -
Flemisch Bernd,
Wohlmuth Barbara I.
Publication year - 2004
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.10095
Subject(s) - domain decomposition methods , mathematics , projection (relational algebra) , domain (mathematical analysis) , discretization , decomposition method (queueing theory) , a priori and a posteriori , partial differential equation , operator (biology) , connection (principal bundle) , algorithm , partial derivative , decomposition , finite element method , mathematical analysis , geometry , discrete mathematics , ecology , philosophy , biochemistry , physics , chemistry , epistemology , repressor , biology , gene , transcription factor , thermodynamics
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. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 20: 374–387, 2004.