| THE SPLITTING EXTRAPOLATION FOR FINITEELEMENT METHOD |
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| 作者姓名： | LU Tao FENG Yong |
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| 作者单位： | Institute of Chengdu Computer Application，Academia Sinica，Chengdu 610041，China |
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| 摘 要： | 1.IntroductionDespitethesignificantprogressmadeindigitalcomputersandcomputationalmethodsoaferthelasttwodecades,computationalworkaswellascomputerstoragerequiremelltintheappliedfieldissogreatthatsuper-computersarenotabletoaft'ord.111recentyears)thehotpoilltsincomputationalmathematicsarehowtodevelopanealcomPlltationalmethodwhichwouldfulfilthefollowingrequirelllents;1)ItshouldbeaparallelcomputationalIned]'>(lwhichcan11eimplementedonrnultiprocessorcomputersreqlliringminimalcommunicationanloll!{pro(…
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THE SPLITTING EXTRAPOLATION FOR FINITE ELEMENT METHOD |
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| LU Tao, FENG Yong.THE SPLITTING EXTRAPOLATION FOR FINITEELEMENT METHOD[J].Journal of Systems Science and Complexity,1997(4). |
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| Authors: | LU Tao FENG Yong |
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| Abstract: | A new splitting extrapolation based on multivariate asymptotic expansionsof finite elemellt eraes for differellt mesh parameters is described. By means of splittingextrapolation, a far 3 scale problem is decomposed into many subproblems, which can besolved in parallel. 111 this paper) we prove that the splitting extrapolation algorithm possesses a high order accuracy and the computation is almost independent of the dimension ofthe problem. Moreover, an extrapolation algorithm at global fine grid points is presented,several numerical examples including interface problems are discussed. |
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| Keywords: | Splitting extrapolation parallel algorithm domain decomposition |
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