| Theory and Application of Characteristic Finite Element Domain Decomposition Procedures for Coupled System of Dynamics of Fluids in Porous Media |
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| 作者姓名： | Yi-rang Yuan |
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| 作者单位： | Yi-rang Yuan Institute of Mathematics，Shandong University，Jinan 250100，China |
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| 基金项目： | Supported by the Major State Basic Research Program of China （No. 1999032803）, the National Tackling Key Problems Program （No. 2002020094）, the National Natural Sciences Foundation of China （Nos.19972039, 10271066） and the Doctorate Foundation of the Ministry of Education of China （No.2003042047）. |
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| 摘 要： | For a coupled system of multiplayer dynamics of fluids in porous media,the characteristic finiteelement domain decomposition procedures applicable to parallel arithmetic are put forward.Techniques suchas calculus of variations,domain decomposition,characteristic method,negative norm estimate,energy methodand the theory of prior estimates are adopted.Optimal order estimates in L~2 norm are derived for the error inthe approximate solution.
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| 关 键 词： | 多孔介质 流体动力学 耦合系统 特征有限元 区域分解法 并行算法 |
| 收稿时间： | 6 July 2004 |
| 修稿时间： | 2004-07-06 |
Theory and Application of Characteristic Finite Element Domain Decomposition Procedures for Coupled System of Dynamics of Fluids in Porous Media |
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| Yi-rang Yuan.Theory and Application of Characteristic Finite Element Domain Decomposition Procedures for Coupled System of Dynamics of Fluids in Porous Media[J].Acta Mathematicae Applicatae Sinica,2007,23(2):255-268. |
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| Authors: | Yi-rang Yuan |
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| Institution: | (1) Institute of Mathematics, Shandong University, Jinan, 250100, China |
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| Abstract: | For a coupled system of multiplayer dynamics of fluids in porous media,the characteristic finite element domain decomposition procedures applicable to parallel arithmetic are put forward.Techniques such as calculus of variations,domain decomposition,characteristic method,negative norm estimate,energy method and the theory of prior estimates are adopted.Optimal order estimates in L~2 norm are derived for the error in the approximate solution. |
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| Keywords: | Coupled system of dynamics of fluids domain decomposition characteristic finite element parallel arithmetic L2 error estamate |
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