| 非线性Sine-Gordon方程的一个新混合元方法 |
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| 作者单位： | ;1.郑州师范学院数学与统计学院;2.郑州大学数学与统计学院 |
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| 摘 要： | 利用双线性元和零阶R-T元,对非线性Sine-Gordon方程构造了一个新混合元格式.基于积分恒等式技巧,导数转移及插值算子的特性,给出了在半离散格式下原始变量及通量的超逼近性质.同时,使用插值后处理技术得到了相应的整体超收敛结果.
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| 关 键 词： | 非线性Sine-Gordon方程 新混合有限元格式 超逼近和超收敛 |
A New Mixed Finite Element Method for Nonlinear Sine-Gordon Equation |
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| Institution: | ,School of Mathematics and Statistics,Zhengzhou Normal University,School of Mathematics and Statistics,Zhengzhou University |
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| Abstract: | In this paper,a new mixed finite element scheme is constructed for sine-Gordon equations with the bilinear element and zero order R-Telement.By using integral identity techniques,derivative transfer and interpolation operator's characteristics,the superclose properties of the orginal and flux variables are given in semi-discrete form.At the same time,by virtue of the interpolation post-processing approach,the corresponding global superconvergence results are derived. |
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| Keywords: | nonlinear Sine-Gordon equation new mixed finite element scheme supercloseness and superconvergence |
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