| TWO-SCALE CURVED ELEMENT METHOD FOR ELLIPTIC PROBLEMS WITH SMALL PERIODIC COEFFICIENTS |
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| 作者姓名： | Jin-ru Chen |
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| 作者单位： | 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) |
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| 基金项目： | 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. |
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| 摘 要： | 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.
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TWO-SCALE CURVED ELEMENT METHOD FOR ELLIPTIC PROBLEMS WITH SMALL PERIODIC COEFFICIENTS |
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| Jin-ru Chen.TWO-SCALE CURVED ELEMENT METHOD FOR ELLIPTIC PROBLEMS WITH SMALL PERIODIC COEFFICIENTS[J].Journal of Computational Mathematics,2002(4). |
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| Authors: | Jin-ru Chen |
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| 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. |
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| Keywords: | Two-scale Curred element Small periodic coefficients |
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