Error Analysis of a Dual-parametric Bi-quadratic FEM in Cavitation Computation in Elasticity
Error Analysis of a Dual-parametric Bi-quadratic FEM in Cavitation Computation in Elasticity
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DOI：
10.1137/140971142
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发表时间：
2015-06
期刊：
影响因子：
--
通讯作者：
Chunmei Su;Zhiping Li
中科院分区：
文献类型：
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作者：
Chunmei Su;Zhiping Li
分析了用于计算非线性弹性中径向对称和一般非对称腔解的双参数双二次有限元方法的定向保持条件和近似误差。分析结果使我们能够基于误差均匀分布原理，为空化计算方法建立最佳网格划分策略。数值结果与分析结果非常吻合。
The orientation-preservation conditions and approximation errors of a dual-parametric bi-quadratic finite element method for the computation of both radially symmetric and general nonsymmetric cavity solutions in nonlinear elasticity are analyzed. The analytical results allow us to establish, based on an error equidistribution principle, an optimal meshing strategy for the method in cavitation computation. Numerical results are in good agreement with the analytical results.