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Theory and Application of Characteristic Finite Element Domain Decomposition Procedures for Coupled System of Dynamics of Fluids in Porous Media

Theory and Application of Characteristic Finite Element Domain Decomposition Procedures for Coupled System of Dynamics of Fluids in Porous Media
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摘要 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. 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.
作者 Yi-rang Yuan
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2007年第2期255-268,共14页 应用数学学报(英文版)
基金 Supported by the Major State Basic Research Program of China (No. 1999032803) the National Tackling Key Problems Program (No. 2002020094) the National Natural Scicnccs Foundation of China (Nos.19972039,10271066) the Doctorate Foundation of the Ministry of Education of China (No.2003042047)
关键词 Coupled system of dynamics of fluids domain decomposition characteristic finite element parallel arithmetic L^2 error estamate Coupled system of dynamics of fluids, domain decomposition, characteristic finite element, parallel arithmetic, L^2 error estamate
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二级参考文献3

  • 1Yirang Yuan.The characteristic finite difference fractional steps methods for compressible two-phase displacement problem[J].Science in China Series A: Mathematics.1999(1)
  • 2Marchuk,G. I.Splitting and alternating direction method, in Handbook of Numerical Analysis (eds. Ciarlet, P. G. Lions, J. L.), Paris: Elesevior Science Publishers, B[].V.1990
  • 3Douglas,Jr. J.Finite difference methods for two-phase incompressible flow in porous media, SIAM J[].Numer Anal.1983

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