A sparse finite element method with high accuracyPart I |
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| Authors: | Qun Lin Ningning Yan Aihui Zhou |
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| Affiliation: | (1) Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, P.O. Box 2719, Beijing 100080, People's Republic of China , CN;(2) Institute of Systems Science, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, People's Republic of China , CN |
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| Abstract: | Summary. In this paper, we develop and analyze a new finite element method called the sparse finite element method for second order elliptic problems. This method involves much fewer degrees of freedom than the standard finite element method. We show nevertheless that such a sparse finite element method still possesses the superconvergence and other high accuracy properties same as those of the standard finite element method. The main technique in our analysis is the use of some integral identities. Received October 1, 1995 / Revised version received August 23, 1999 / Published online February 5, 2001 |
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| Keywords: | Mathematics Subject Classification (1991): 65N30 |
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