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Efficient solution of mechanical and biomechanical problems by domain decomposition
Author(s) -
Le Tallec Patrick,
Vidrascu Marina
Publication year - 1999
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/(sici)1099-1506(199910/11)6:7<599::aid-nla179>3.0.co;2-8
Subject(s) - preconditioner , domain decomposition methods , decomposition , domain (mathematical analysis) , mathematics , von neumann architecture , iterative method , decomposition method (queueing theory) , algorithm , mathematical optimization , computer science , mathematical analysis , finite element method , statistics , structural engineering , engineering , ecology , pure mathematics , biology
This paper shows the ability of a domain decomposition method with a Neumann‐Neumann preconditioner to solve industrial and biomechanical problems. For a mid‐size biomedical simulation involving soft tissues the results obtained by using this algorithm are comapred to those obtained by more classical methods. The present algorithm thus appears to be more reliable than standard iterative methods and more efficient than a direct method. Copyright © 1999 John Wiley & Sons, Ltd.