| 栾茂田,田荣.广义节点有限元法[J].计算力学学报,2000,17(2):192~200 |
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| 广义节点有限元法 |
| Generalized-node finite element method based on manifold concept |
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| DOI：10.7511/jslx20002034 |
| 中文关键词: 流形 广义节点有限元法 有限元法 |
| 英文关键词:manifold,generalized node,finite element method,finite element method(FEM) |
| 基金项目:国家教育部跨世纪优秀人才培养计划研究基金资助项目，国家自然科学基金青年基金资助项目!( 5970 90 0 8) |
| 栾茂田 田荣 |
| 大连理工大学土木工程系!大连116024 |
| 摘要点击次数: 3580 |
| 全文下载次数: 9 |
| 中文摘要: |
| 应用流形方法思想，通过引入广义节点的概念，对传统有限元方法进行改进，建立了可具有任意高阶多项式托值函数的广义节点有限元方法，计算结果表明，广义节点有限元方法较之传统有限元方法有较高的精度。 |
| 英文摘要: |
| In this paper, the finite element method with generalized nodes is proposed by applying the concept of manifold method to the modification of the conventional FEM. The fundamental theory together with numerical formulations is presented. The characteristic matrix of the generalized 3 node elements is derived for illustration. Numerical computations for two benchmark problems of plane strain elasticity are performed. The comparisons among the results computed by the proposed method and classical FEMS indicate the superiority of this method over conventional methods. |
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