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Mesh and solver co-adaptation in finite element methods for anisotropic problems
Du, Q; Huang, ZH; Wang', DH
2005-07-01
Source PublicationNUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
ISSN0749-159X
Volume21Issue:4Pages:859-874
AbstractMesh generation and algebraic solver are two important aspects of the finite element methodology. In this article, we are concerned with the joint adaptation of the anisotropic triangular mesh and the iterative algebraic solver. Using generic numerical examples pertaining to the accurate and efficient finite element solution of some anisotropic problems, we hereby demonstrate that the processes of geometric mesh adaptation and the algebraic solver construction should be adapted simultaneously. We also propose some techniques applicable to the co-adaptation of both anisotropic meshes and linear solvers. (c) 2005 Wiley Periodicals, Inc.
Keywordfinite element anisotropic meshing iterative solver joint co-adaptation
DOI10.1002/num.20072
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000229730500011
PublisherJOHN WILEY & SONS INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/1039
Collection中国科学院数学与系统科学研究院
Corresponding AuthorDu, Q
Affiliation1.Penn State Univ, Dept Math, University Pk, PA 16802 USA
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
3.Chinese Acad Sci, Ctr Space Sci Res, Beijing 100080, Peoples R China
4.Xiangtan Univ, Dept Math, Xiangtan 411105, Peoples R China
5.Univ Coll Swansea, Sch Engn, Civil & Computat Engn Ctr, Swansea SA2 8PP, W Glam, Wales
Recommended Citation
GB/T 7714
Du, Q,Huang, ZH,Wang', DH. Mesh and solver co-adaptation in finite element methods for anisotropic problems[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,2005,21(4):859-874.
APA Du, Q,Huang, ZH,&Wang', DH.(2005).Mesh and solver co-adaptation in finite element methods for anisotropic problems.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,21(4),859-874.
MLA Du, Q,et al."Mesh and solver co-adaptation in finite element methods for anisotropic problems".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 21.4(2005):859-874.
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