| Splitting extrapolation based on domain decomposition for finite element approximations |
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| 作者姓名： | 吕涛 冯勇 |
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| 作者单位： | Chengdu Computer Application Institute，Chinese Academy of Sciences，Chengdu 610041，China，Chengdu Computer Application Institute，Chinese Academy of Sciences，Chengdu 610041，China |
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| 摘 要： | Splitting extrapolation based on domain decomposition for finite element approximations is a new technique for solving large scale scientific and engineering problems in parallel. By means of domain decomposition, a large scale multidimensional problem is turned to many discrete problems involving several grid parameters The multi-variate asymptotic expansions of finite element errors on independent grid parameters are proved for linear and nonlin ear second order elliptic equations as well as eigenvalue problems. Therefore after solving smaller problems with similar sizes in parallel, a global fine grid approximation with higher accuracy is computed by the splitting extrapolation method.
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Splitting extrapolation based on domain decomposition for finite element approximations |
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| Tao Lü,Yong Feng.Splitting extrapolation based on domain decomposition for finite element approximations[J].Science in China(Technological Sciences),1997,40(2):144-155. |
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| Authors: | Tao Lü Yong Feng |
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| Affiliation: | (1) Chengdu Computer Application Institute, Chinese Academy of Sciences, 610041 Chengdu, China |
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| Abstract: | Splitting extrapolation based on domain decomposition for finite element approximations is a new technique for solving large scale scientific and engineering problems in parallel. By means of domain decomposition, a large scale multidimensional problem is turned to many discrete problems involving several grid parameters The multi-variate asymptotic expansions of finite element errors on independent grid parameters are proved for linear and nonlin ear second order elliptic equations as well as eigenvalue problems. Therefore after solving smaller problems with similar sizes in parallel, a global fine grid approximation with higher accuracy is computed by the splitting extrapolation method. |
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| Keywords: | splitting extrapolation domain decomposition parallel algorithm |
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