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On the Approaching Domain Obtained by Finite Element Method

On the Approaching Domain Obtained by Finite Element Method
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摘要 The use of finite element method leads to replacing the initial domain by an approaching domain. Under some appropriate assumptions, we prove that there exists a W1,+∞-diffeomorphism from the original domain to the approaching domain. The use of finite element method leads to replacing the initial domain by an approaching domain. Under some appropriate assumptions, we prove that there exists a W1,+∞-diffeomorphism from the original domain to the approaching domain.
出处 《Northeastern Mathematical Journal》 CSCD 2002年第3期273-282,共10页 东北数学(英文版)
基金 Partially supported by Professor Xu Yuesheng and his program "One hundred distinguished Young Scientists" Partially supported by "Programme Sino-Francais de Recherches Advancees(PRA).
关键词 nonconforming isoparametric finite element method approaching do-main DIFFEOMORPHISM nonconforming isoparametric finite element method, approaching do-main, diffeomorphism
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参考文献1

  • 1Miloslav Feistauer.On the finite element approximation of a cascade flow problem[J].Numerische Mathematik.1986(6)

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