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TWO-SCALE CURVED ELEMENT METHOD FOR ELLIPTIC PROBLEMS WITH SMALL PERIODIC COEFFICIENTS

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【Author】 Jin-ru Chen (School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing 210097, China)Jun-zhi Cui(LSEC, ICMSEC, Academy of Mathematics and System Sciences, Chinese Academy of Sciences,Beijing 100080, China)

【摘要】 <正>AbstractThis paper is concerned with the second order elliptic problems with small periodic coefficients on a bounded domain with a curved boundary. A two-scale curved element method which couples linear elements and isoparametric elements is proposed. The error estimate is obtained over the given smooth domain. Furthermore an additive Schwarz method is provided for the isoparametric element method.

【Abstract】 This paper is concerned with the second order elliptic problems with small periodic coefficients on a bounded domain with a curved boundary. A two-scale curved element method which couples linear elements and isoparametric elements is proposed. The error estimate is obtained over the given smooth domain. Furthermore an additive Schwarz method is provided for the isoparametric element method.

【基金】 The research was supported by the National Natural Science Foundation of China under grants 19901014 and 19932030 ; the Special Funds for Major State Basic Research Projects.
  • 【文献出处】 Journal of Computational Mathematics ,计算数学(英文版) , 编辑部邮箱 ,2002年04期
  • 【分类号】O241.8
  • 【下载频次】3
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