| 伪双曲型方程的一个H1-Galerkin非协调混合元格式 |
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| 引用本文： | 石东洋,张亚东.伪双曲型方程的一个H1-Galerkin非协调混合元格式[J].应用数学,2011,24(3). |
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| 作者姓名： | 石东洋 张亚东 |
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| 作者单位： | 1. 郑州大学数学系,河南郑州,450052
2. 许昌学院数学与统计学院,河南许昌,461000 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10671184;10971203); the National Natural Science Foundation of the Education Department of Henan Province(2010A110018) |
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| 摘 要： | 讨论了一类伪双曲型方程的一个H1-Galerkin非协调混合有限元方法.利用插值算子的特殊性质,在半离散和全离散格式下,得到了与传统混合有限元相同的误差估计且不需要满足LBB条件.
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| 关 键 词： | H1 -Galerkin混合元 伪双曲型方程 非协调有限元 半离散和全离散格式 误差估计 |
An H~1-Galerkin Nonconforming Mixed Finite Element Method for Pseudo-Hyperbolic Equations |
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| SHI Dongyang
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ZHANG Yadong.An H~1-Galerkin Nonconforming Mixed Finite Element Method for Pseudo-Hyperbolic Equations[J].Mathematica Applicata,2011,24(3). |
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| Authors: | SHI Dongyang ZHANG Yadong |
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| Institution: | SHI Dongyang,ZHANG Yadong(1.Department of Mathematics,Zhengzhou University,Zhengzhou450052,China,2.School of Mathematics and Statistics,Xuchang University,Xuchang461000,China) |
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| Abstract: | An H1-Galerkin nonconforming mixed finite element method is proposed to analyze a class of pseudo-hyperbolic equations.By use of the typical characteristics of the interpolation operators,the same error estimates as in the classical mixed methods for the semi-discrete and fully-discrete schemes are obtained without requiring the LBB consisitency condition. |
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| Keywords: | H1-Galerkin mixed method Pseudo-hyperbolic equations Nonconforming finite elements Semidiscrete and fully-discrete schemes Error estimates |
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