| 二阶双曲型方程的C^0-连续一次有限元法 |
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| 引用本文： | 赖军将,王强,黄建国.二阶双曲型方程的C^0-连续一次有限元法[J].上海交通大学学报,2008,42(12):2065-2069. |
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| 作者姓名： | 赖军将 王强 黄建国 |
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| 作者单位： | 上海交通大学数学系 |
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| 基金项目： | 国家自然科学基金资助项目
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| 摘 要： | 对于二阶常微分方程初值问题,构造了C0-连续一次有限元法计算格式,通过直接计算的方法证明了误差估计,并利用数值实验验证了理论分析结果.对于二阶波动方程,构造了C0一次有限元法的计算格式,证明了解的存在惟一性,利用数值实验验证了该方法的有效性.
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| 关 键 词： | C0-连续一次有限元 常微分方程 波动方程 误差估计 |
C0-Continuous Time Stepping Linear Finite Element Method for Second Order Linear Hyperbolic Equations |
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| LAI Jun-jiang,WANG Qiang,HUANG Jian-guo.C0-Continuous Time Stepping Linear Finite Element Method for Second Order Linear Hyperbolic Equations[J].Journal of Shanghai Jiaotong University,2008,42(12):2065-2069. |
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| Authors: | LAI Jun-jiang WANG Qiang HUANG Jian-guo |
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| Abstract: | This paper proposed a C~0-continuous time stepping linear finite element method to solve initial-value problems for the second order scalar linear ordinary differential equation.Some error analysis results were proved by the direct computation.The numerical results coincide with the theoretical estimates.Furthermore,this method was extended to linear wave equations in two dimension,and some numerical tests were included to show the computational performance of the method. |
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| Keywords: | C~0-continuous FEM ordinary differential equation wave equation error analysis |
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