A second order characteristic finite element scheme for convection-diffusion problems |
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| Authors: | Hongxing Rui Masahisa Tabata |
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| Institution: | (1) Department of Mathematics, Shandong University, Jinan, 250100 China; e-mail: hxrui@sdu.edu.cn , CN;(2) Department of Mathematical Sciences, Kyushu University, Fukuoka, 812-8581 Japan; e-mail: tabata@math.kyushu-u.ac.jp , JP |
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| Abstract: | Summary. A new characteristic finite element scheme is presented for It is of second order accuracy in time increment, symmetric,
and unconditionally stable. Optimal error estimates are proved in the framework of -theory. Numerical results are presented for two examples, which show the advantage of the scheme.
Received November 22, 2000 / Revised version received July 11, 2001 / Published online October 17, 2001 |
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| Keywords: | Mathematics Subject Classification (1991):65M12 65M25 65M60 |
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