Superconvergence analysis of the finite element method for nonlinear hyperbolic equations with nonlinear boundary condition

被引:0
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作者
Dong-yang Shi
Zhi-yan Li
机构
[1] Zhengzhou Univercity,Department of Mathematics
[2] Handan College,Department of Mathematics
关键词
nonlinear hyperbolic equation; nonlinear boundary condition; superconvergence; postprocessing technique; 65N30; 65N15;
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学科分类号
摘要
This paper discusses the semidiscrete finite element method for nonlinear hyperbolic equations with nonlinear boundary condition. The superclose property is derived through interpolation instead of the nonlinear H1 projection and integral identity technique. Meanwhile, the global superconvergence is obtained based on the interpolated postprocessing techniques.
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页码:455 / 462
页数:7
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