| Local and Parallel Finite Element Algorithms for Eigenvalue Problems |
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| 作者姓名： | Jinchao Xu |
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| 作者单位： | Center for |
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| 基金项目： | Partially supported by NSF DMS-0074299 through Penn State and Center for Computational Mathematics and Applications, The Pennsylvania State University.
Subsidized by the Special Funds for Major State Basic Research Projects, and also partially supported |
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| 摘 要： | Abstract Some new local and parallel finite element algorithms are proposed and analyzed in this paper foreigenvalue problems.With these algorithms, the solution of an eigenvalue problem on a fine grid is reduced tothe solution of an eigenvalue problem on a relatively coarse grid together with solutions of some linear algebraicsystems on fine grid by using some local and parallel procedure.A theoretical tool for analyzing these algorithmsis some local error estimate that is also obtained in this paper for finite element approximations of eigenvectorson general shape-regular grids.
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Local and Parallel Finite Element Algorithms for Eigenvalue Problems |
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| Jinchao Xu.Local and Parallel Finite Element Algorithms for Eigenvalue Problems[J].Acta Mathematicae Applicatae Sinica,2002,18(2):185-200. |
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| Authors: | Jinchao Xu Aihui Zhou |
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| Affiliation: | (1) Center for Computational Mathematics and Applications and Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802, USA (E-mail: xu@math.psu.edu), US;(2) Institute for Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China (E-mail: azhou@lsec.cc.ac.cn), CN |
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| Abstract: | Some new local and parallel finite element algorithms are proposed and analyzed in this paper for eigenvalue problems. With these algorithms, the solution of an eigenvalue problem on a fine grid is reduced to the solution of an eigenvalue problem on a relatively coarse grid together with solutions of some linear algebraic systems on fine grid by using some local and parallel procedure. A theoretical tool for analyzing these algorithms is some local error estimate that is also obtained in this paper for finite element approximations of eigenvectors on general shape-regular grids. |
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| Keywords: | Eigenvalue finite element local algorithm parallel algorithm |
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