| 波传播问题的半解析有限元辛型算法 |
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| 引用本文： | 王治国,唐立民.波传播问题的半解析有限元辛型算法[J].大连理工大学学报,1994,34(2):125-130. |
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| 作者姓名： | 王治国 唐立民 |
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| 作者单位： | Research Institute of Engineering Mechanics，DUT |
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| 摘 要： | 波动方程的哈密顿形式是无穷维哈密顿系统，本文用有限无限元法进行离散化，能够适用于任意的边界条件；给出一个半解析有很元法，它是辛型算法。数值算例实它是有效的。
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| 关 键 词： | 波动方程 哈密顿系统 有限元法 |
Semi-analytical finite element method of symplectic algorithm for wave propagation problem |
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| Wang Zhiguo,Tang Limin.Semi-analytical finite element method of symplectic algorithm for wave propagation problem[J].Journal of Dalian University of Technology,1994,34(2):125-130. |
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| Authors: | Wang Zhiguo Tang Limin |
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| Abstract: | Hamiltonian formulation of wave equations is an infinite dimensional Hamiltonian system.Finite element methods are used to discrete its space,The present method is a semi-analyticalfinite element method which is a symplectic algorithm,and suits arbitrary boundary conditions.Numerical examples have verified its efficiency. |
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| Keywords: | wave equations/infinite dimensional Hamiltonian system semi-analytical finite element method symplectic algorithm |
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