| 欧阳华江,钟万勰,杨琦,邓子辰.一类基于Hamilton体系的半解析法[J].计算力学学报,1993,10(2): |
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| 一类基于Hamilton体系的半解析法 |
| A Group of Hamiltonian-System-Based Semi-Analytic Methods |
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| DOI：10.7511/jslx19932023 |
| 中文关键词: 半解析法,Hamilton体系,偏微分方程,二阶非齐次椭圆型方程 |
| 英文关键词:semi-analytic methods, Hamiltonian system, partial differential equation, two-order non-homogeneous equation |
| 基金项目:国家博士后科学基金 |
| 欧阳华江 钟万勰 杨琦 邓子辰 |
大连理工大学工程力学研究所 116023
(欧阳华江，钟万勰，杨琦)
，大连理工大学工程力学研究所 116023(邓子辰)
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| 中文摘要: |
| 利用偏微分方程在Hamilton体系中的表示和二类变量变分原理,结合有限元法,提出一类基于Hamilton体系的半解析法。本文以二阶非齐次椭圆型方程为例,给出了这类半解析法中的一种的有限元列式和算例,与解析解、Ritz法、有限条法和有限元法的结果比较表明,此法具有较高的精度,还可求解其它其些偏微分方程,有一定的普遍意义。 |
| 英文摘要: |
| By means of Hamiltonian formulation of PDEs and related two-variable variational principle combined with finite element method, the authors put forward a group of Haliltonian-system-based semi-analytic methods. The formulations of two typical semi-analytic methods of such group are presented. Numerical example by one of the methods is given finally. It is found that the new semi-analytic method can lead to rather good results compared with analytic method, Ritz method, finite strip method and finite element method. |
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