| THE MULTIGRID METHOD OF WILSONELEMENT ON ARBITRARYQUADRILATERAL MESHES WITH TWONEW VARIATIONAL FORMULATIONS |
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| 作者姓名： | 马立明 常谦顺 |
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| 作者单位： | MA LIMING (Department Of Mathematics，the Craduate School at Beijing，University Of Science and Technolopy oj China，Beijing 100039，China)CHANG QIANSHUN (Institute Of Applied Mathematics，the Chinese Academy Of Sciences，BetZtng 100080，China) |
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| 摘 要： | 1.IntroductionShiZhongci']hasshownthattheWilsonelementonarbitraryquadrilateralmesheswasconvergelltunderacertainconditionwithoutmodificationsofthevariationalformulation.P.LesaintandM.Zlamal2]gaveamathematicalanalysisoftheconvergenceofthemodifiedWilsonelemeflt.Withtheseideas,thispapergivestwosimplevariationalformulationsforthequadrilateralWilsonelementandshowstheirconvergencewiththenewvariationalformulations.Usingthenewvariationalformulations,wecanreduceourcomputationalcostsbecausetwotermsa…
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| 收稿时间： | 18 November 1994 |
The multigrid method of Wilson element on arbitrary quadrilateral meshes with two new variational formulations |
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| Ma Liming,Chang Qianshun.THE MULTIGRID METHOD OF WILSONELEMENT ON ARBITRARYQUADRILATERAL MESHES WITH TWONEW VARIATIONAL FORMULATIONS[J].Acta Mathematicae Applicatae Sinica,1998,14(2):134-139. |
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| Authors: | Ma Liming Chang Qianshun |
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| Institution: | (1) Department of Mathematics, the Graduate School at Beijing, University of Science and Technology of China, 100039 Beijing, China;(2) Institute of Applied Mathematics, the Chinese Academy of Sciences, 100080 Beijing, China |
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| Abstract: | In this paper) we shall give two new variational formulations for Wilson element on arbitraryquadrilateral meshes. It is shown that the convergence order is O(h) as the Wilson element withoriginal variational formulation. Furthermore, the multigrid method of the Wilson element withthe two new variational formulations is developed, and the order of convergence is also O(h). |
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| Keywords: | Multigrid Wilson element |
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