| 钱向东,任青文.一种高效的等参有限元逆变换算法[J].计算力学学报,1998,15(4):437~441 |
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| 一种高效的等参有限元逆变换算法 |
| An algorithm for inverse isoparametric mapping in FEM |
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| DOI：10.7511/jslx19984068 |
| 中文关键词: 有限元 等参变换 逆变换 Taylor展开 |
| 英文关键词:FEM, isoparametric mapping, inverse mapping, Taylor expansion, |
| 基金项目: |
| 钱向东 任青文 |
| 河海大学土木工程学院 |
| 摘要点击次数: 3801 |
| 全文下载次数: 0 |
| 中文摘要: |
| 采用Ｔａｙｌｏｒ展开技术构造了一种具有线性迭代格式的等参有限元逆变换算法，对算法的收敛性和收敛速度分别给出了理论证明和数值检验。该算法不仅形式简单、便于程序实现，且适合于任何类型的等参单元，是一种高效实用的逆变换算法。文中还给出了算法的实施框图。 |
| 英文摘要: |
| In this paper, an algorithm with linear iteration form for inverse isoparametric mapping in FEM is built with Taylor expansion technique. Its convergence is proved in theory, and its convergence rate is tested in numeric. The algorithm is efficient and practicable for its simplicity in iteration form, convenience in computer implementation and wide adaptation in element type. The flow chart of the algorithm is presented. |
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