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High‐order ILU preconditioners for CFD problems
Author(s) -
Chapman Andrew,
Saad Yousef,
Wigton Larry
Publication year - 2000
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/1097-0363(20000730)33:6<767::aid-fld28>3.0.co;2-c
Subject(s) - computational fluid dynamics , factorization , block (permutation group theory) , stability (learning theory) , mathematics , computer science , linear system , incomplete lu factorization , mathematical optimization , algorithm , calculus (dental) , engineering , matrix decomposition , geometry , mathematical analysis , physics , aerospace engineering , machine learning , eigenvalues and eigenvectors , quantum mechanics , medicine , dentistry
This paper tests a number of incomplete lower–upper (ILU)‐type preconditioners for solving indefinite linear systems, which arise from complex applications such as computational fluid dynamics (CFD). Both point and block preconditioners are considered. The paper focuses on ILU factorization that can be computed with high accuracy by allowing liberal amounts of fill‐in. A number of strategies for enhancing the stability of the factorizations are examined. Copyright © 2000 John Wiley & Sons, Ltd.