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戴珍香
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DAI Zhen-xiang
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摘要： 对二维两阶不定椭圆问题的基于P1非协调元的有限体积元方法给出了两层网格算法,并得到在H1范数意义下两层网格算法的收敛性估计:‖uh-uh‖1,h≤CH2‖f‖1,‖u-uh‖1,h≤C(h+H2)‖f‖1。
关键词: 不定椭圆问题, 有限体积元方法, 两层网格算法
Abstract: The two-grid algorithm of the finite volume element method for second-order indefinite elliptic problems in R2 was presented ,based on the P1 nonconforming element.The following error estimated in the H1-norm between the solution of the two-grid and the finite volume element appoximation of the elliptic problem were derived::‖uh-uh‖1,h≤CH2‖f‖1,‖u-uh‖1,h≤C(h+H2)‖f‖1.
Key words: two-grid algorithm , finite volume element method, indefinite elliptic problems
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戴珍香 . 二维两阶不定椭圆问题的有限体积元方法的两层网格算法[J]. J4, 2008, 43(2): 52-57 .
DAI Zhen-xiang . The two-grid algorithm of the finite volume element method for second-order indefinite elliptic problems[J]. J4, 2008, 43(2): 52-57 .
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链接本文: http://lxbwk.njournal.sdu.edu.cn/CN/
http://lxbwk.njournal.sdu.edu.cn/CN/Y2008/V43/I2/52
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