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Stability and Dispersion Analysis of Reproducing Kernel Collocation Method for Transient Dynamics
Author(s): 
Pages: 730-740
Year: Issue:  6
Journal: Applied Mathematics and Mechanics

Keyword:  RKPM配点法稳定性分析弥散分析瞬态动力问题;
Abstract: 介绍了基于强形式的RKPM配点法求解瞬态动力问题的算法,并提出了采用RKPM配点法,配合时间域中心差分求解二阶波动方程的稳定性评价方法,并通过数值算例验证了此方法的正确性.此评价方法可以方便有效地评估出实际计算时的临界时间步长.通过数值算例比较可知,实际算例的计算临界时间步长与本评价方法,所预测的临界时间步长结果非常接近.给出了如何合理地选择RKPM形函数支撑域的建议.最后与径向基函数配点法进行了...
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