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| 一类非线性双曲型方程的非协调有限元方法 | |
| 引用本文： | 王海红,石东洋. 一类非线性双曲型方程的非协调有限元方法[J]. 数学的实践与认识, 2012, 42(4): 211-216 |
| 作者姓名： | 王海红 石东洋 |
| 作者单位： | 1. 河南财经政法大学数学与信息科学系,河南郑州,450002 2. 郑州大学数学系,河南郑州,450052 |
| 摘 要： | 研究了一类非线性双曲型方程的非协调有限元方法,在不需要传统的Ritz投影的情况下,得到了半离散格式下的误差估计及超收敛结果. |
| 关 键 词： | 非协调有限元 非线性双曲方程 半离散 超收敛 误差估计 |
A Nonconforming Finite Element Method For Nonlinear Hyperbolic Type Equations |
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| WANG Hai-hong , SHI Dong-yang. A Nonconforming Finite Element Method For Nonlinear Hyperbolic Type Equations[J]. Mathematics in Practice and Theory, 2012, 42(4): 211-216 | |
| Authors: | WANG Hai-hong SHI Dong-yang |
| Affiliation: | 1.Department of Mathematical and Information Scientific,Henan University of Economics and Low,Zhengzhou 450002,China) (2.Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China) |
| Abstract: | A kind of nonconforming finite element method to nonlinear hyperbolic equations is discussed,the error estimates and superconvergence result are derived under semi-discrete scheme without Ritz projection. |
| Keywords: | nonconforming finite elements nonlinear hyperbolic equations semi-discrete superconvergence error estimate |
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