| 一种高效的等参有限元逆变换算法 |
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| 引用本文： | 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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| 作者姓名： | 钱向东 任青文 |
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| 作者单位： | 河海大学土木工程学院 |
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| 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。
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| 关 键 词： | 有限元 等参变换 逆变换 Taylor展开 |
An algorithm for inverse isoparametric mapping in FEM |
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| Qian Xiangdong\ \ Ren Qingwen,Zhao Yin.An algorithm for inverse isoparametric mapping in FEM[J].Chinese Journal of Computational Mechanics,1998,15(4):437-441. |
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| Authors: | Qian Xiangdong\ \ Ren Qingwen Zhao Yin |
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| Abstract: | 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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| Keywords: | FEM isoparametric mapping inverse mapping Taylor expansion |
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