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有限元离散区域的逼近性
引用本文:邹青松,李永海.有限元离散区域的逼近性[J].东北数学,2002,18(3):273-282.
作者姓名:邹青松  李永海
作者单位:ZOU Qingsong (Academy of Mathematics and Systems Sciences,Chinese Academy of Sciences,Beijing,100080)LI Yonghai (School of Mathematics,Jilin University,Changchun,130012)
基金项目:Partially supported by Professor Xu Yuesheng and his program "One hundred distinguished Young Scientists",Partially supported by "Programme Sino-Francais de Recherches Advancees(PRA).
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 W^1, ∞-diffeomorphism from the original domain to the approaching domain.

关 键 词:逼近性  有限元法  离散区域  微分目标  椭圆问题  边界  Fridrich-Korn不等式

On the Approaching Domain Obtained by Finite Element Method
ZOU Qingsong.On the Approaching Domain Obtained by Finite Element Method[J].Northeastern Mathematical Journal,2002,18(3):273-282.
Authors:ZOU Qingsong
Institution:[1]AcademyofMathemasticsandSystemsSciences,ChineseAcademyofSciences,Beijing,100080 [2]SchoolofMathematics,JilinUniversity,Changchun,130012
Abstract:
Keywords:nonconforming isoparametric finite element method  approaching do-main  diffeomorphism
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