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三维可压核废料污染问题的交替方向有限元格式及分析
引用本文:陈蔚.三维可压核废料污染问题的交替方向有限元格式及分析[J].山东大学学报(理学版),2001,36(3):268-277.
作者姓名:陈蔚
作者单位:山东大学经济学院,
基金项目:国家自然科学基金资助项目(19871051);国家教委博士点基金资助项目(96042202);山东大学青年科技基金资助(118-Y34040)
摘    要:基于块有限元逼近提出了数值求解三维可压核废料污染问题的交替方向有限元格式,将三维问题化为一系列一维问题逐次求解,降低了计算量.证明了格式的最优H1误差估计.

关 键 词:核废料污染  有限元法  交替方向
文章编号:0559-7234(2001)03-0268-10
修稿时间:1999年11月15

AN ALTERNATING DIRECTION FINITE ELEMENT METHOD FOR 3-D COMPRESSIBLEFLOW OF CONTAMINATION FROM NUCLEAR WASTE IN POROUS MEDIA AND ITS THEORETICAL
CHEN Wei.AN ALTERNATING DIRECTION FINITE ELEMENT METHOD FOR 3-D COMPRESSIBLEFLOW OF CONTAMINATION FROM NUCLEAR WASTE IN POROUS MEDIA AND ITS THEORETICAL[J].Journal of Shandong University,2001,36(3):268-277.
Authors:CHEN Wei
Abstract:D compressible flow of contamination from nuclear waste in porous media is described by a nonlinear coupled partial differential system.Considering the higher computing and storage requirements to evaluate the approximate solution of the large mutidimensional problem,an alternating direction finite element procedure which is based on patches of finite element is considered.With the procdure,a three dimensional problem can be solved as a series of one dimensional problems.Optimal order H 1 error estimates are derived.
Keywords:nuclear waste contamination  finite element  alternating direction
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