arXiv 0802.42952008-02math.NAcs.NA

通过前求解器实现的BDDC方法及髋关节置换中的应力计算

BDDC by a frontal solver and the stress computation in a hip joint replacement

Czech Technical University in Prague（布拉格捷克理工大学）；Institute of Thermomechanics, Academy of Sciences of the Czech Republic（捷克科学院热力学研究所）；University of Colorado Denver（科罗拉多大学丹佛分校）

Jakub Šístek, Jaroslav Novotný, Jan Mandel, Marta Čertíková, Pavel Burda

备注：: Expanded, 22 pages, 8 figures
发表信息：: Math. Comput. Simulation, 80(6):1310-1323, 2010
DOI：: 10.1016/j.matcom.2009.01.002

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AI总结：

采用前求解器并行实现BDDC方法求解有限元线性方程组，并将其集成到标准有限元系统中用于线弹性工程分析，展示了髋关节置换部件的应力计算结果，比较了添加平均约束和角点约束的BDDC性能。

摘要：

采用前求解器并行实现BDDC方法，用于求解有限元分析中的线性方程组，并将其集成到标准有限元系统中，用于线弹性工程分析。展示了髋关节置换部件中的应力计算结果。该部件由钛制成，承受人体重量载荷。比较了添加平均约束和添加角点约束的BDDC性能。

英文摘要：

A parallel implementation of the BDDC method using the frontal solver is employed to solve systems of linear equations from finite element analysis, and incorporated into a standard finite element system for engineering analysis by linear elasticity. Results of computation of stress in a hip replacement are presented. The part is made of titanium and loaded by the weight of human body. The performance of BDDC with added constraints by averages and with added corners is compared.

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