| 拉氏反变换的数值并行算法及其在弹性动力学边界元法中的应用 |
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| 引用本文： | 王志灵,程玉民.拉氏反变换的数值并行算法及其在弹性动力学边界元法中的应用[J].上海力学,2005,26(2):224-230. |
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| 作者姓名： | 王志灵 程玉民 |
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| 作者单位： | 上海大学上海市应用数学和力学研究所,上海,200072;上海大学上海市应用数学和力学研究所,上海,200072 |
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| 基金项目： | 山西省自然科学基金(20051061) |
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| 摘 要： | 本文讨论了快速拉氏反变换的数值并行算法，并将其应用于瞬态弹性动力学的边界元法。为了本文提出的并行算法的优越性，还给出了串行算法，最后将串行和并行计算结果与解析解进行了比较，说明本文方法的正确性和有效性。对拉氏反变换的数值并行算法及其应用于瞬态弹性动力学边界元法的优越性进行了研究。从计算时间可以看出，并行计算的时间比串行计算时间可大幅度减少，说明了本文方法的优越性。
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| 关 键 词： | 拉氏变换 弹性动力学 边界元法 并行算法 并行效率 复杂度 加速比 |
| 文章编号： | 0254-0053(2005)02-224-7 |
| 修稿时间： | 2004年9月10日 |
Numerical Parallel Algorithm of Laplace Inverse Transform and its Application in Boundary Element Method for Elastodynamics |
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| WANG Zhi-ling,CHENG Yu-min.Numerical Parallel Algorithm of Laplace Inverse Transform and its Application in Boundary Element Method for Elastodynamics[J].Chinese Quarterly Mechanics,2005,26(2):224-230. |
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| Authors: | WANG Zhi-ling CHENG Yu-min |
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| Abstract: | The numerical parallel algorithm of the inversion of Laplace Transform was discussed, and was used in boundary element method for transient elastodynamics. In order to advantages of the method, the sequential algorithm was given, and the sequential and parallel results were compared with the analytical solution, then that show the method is right and effective. The advantages of the numerical parallel algorithm of the in version of Laplace transform used in the boundary element method for elastodynamics were discussed. From the computing time, the parallel time is much shorter than the sequential time. The advantages of the method are shown. |
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| Keywords: | Laplace Transform elastodynamics boundary element method parallel algorithm parallel efficiencies complexity speedup ratio |
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