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Second‐order treatment of the interface of domain decomposition method for parabolic problems
Author(s) -
Jun Younbae,
Mai TsunZee
Publication year - 2010
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.729
Subject(s) - domain decomposition methods , mathematics , interface (matter) , domain (mathematical analysis) , relaxation (psychology) , decomposition , decomposition method (queueing theory) , scheme (mathematics) , iterative method , order (exchange) , algorithm , mathematical optimization , mathematical analysis , computer science , discrete mathematics , finite element method , parallel computing , psychology , bubble , finance , economics , thermodynamics , ecology , biology , social psychology , physics , maximum bubble pressure method
Estimations for the values on interface lines are necessary in a domain decomposition method. However, the accuracy of the estimations is of the first order for most of unconditionally stable domain decomposition schemes. In this paper, a second order of accuracy for the estimations on interface lines is presented. With the new scheme, the optimal number of decomposed subdomains has been observed and proposed. Moreover when the SOR iterative method is used, the optimal over‐relaxation parameter is also studied. Copyright © 2010 John Wiley & Sons, Ltd.