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瞬态问题稳定性及弥散分析的无网格RKPM配点法研究

罗汉中 刘学文 黄醒春

罗汉中, 刘学文, 黄醒春. 瞬态问题稳定性及弥散分析的无网格RKPM配点法研究[J]. 应用数学和力学, 2011, 32(6): 730-740. doi: 10.3879/j.issn.1000-0887.2011.06.010
引用本文: 罗汉中, 刘学文, 黄醒春. 瞬态问题稳定性及弥散分析的无网格RKPM配点法研究[J]. 应用数学和力学, 2011, 32(6): 730-740. doi: 10.3879/j.issn.1000-0887.2011.06.010
LUO Han-zhong, LIU Xue-wen, HUANG Xing-chun. Stability and Dispersion Analysis of Reproducing Kernel Collocation Method for Transient Dynamics[J]. Applied Mathematics and Mechanics, 2011, 32(6): 730-740. doi: 10.3879/j.issn.1000-0887.2011.06.010
Citation: LUO Han-zhong, LIU Xue-wen, HUANG Xing-chun. Stability and Dispersion Analysis of Reproducing Kernel Collocation Method for Transient Dynamics[J]. Applied Mathematics and Mechanics, 2011, 32(6): 730-740. doi: 10.3879/j.issn.1000-0887.2011.06.010

瞬态问题稳定性及弥散分析的无网格RKPM配点法研究

doi: 10.3879/j.issn.1000-0887.2011.06.010
基金项目: 交通部西部交通建设科技资助项目(2009318000046)
详细信息
    作者简介:

    罗汉中(1983- ),男,江西人,博士生(E-mail:lough_me@163.com);黄醒春(1957- ),男,广西人,教授(联系人.E-mail:huangxc@sjtu.edu.cn).

  • 中图分类号: O302

Stability and Dispersion Analysis of Reproducing Kernel Collocation Method for Transient Dynamics

  • 摘要: 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对比研究.
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出版历程
  • 收稿日期:  2010-07-21
  • 修回日期:  2011-04-13
  • 刊出日期:  2011-06-15

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