• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Engineering analysis with boundary elements >Periodic band structure calculation by the Sakurai-Sugiura method with a fast direct solver for the boundary element method with the fast multipole representation
【24h】

Periodic band structure calculation by the Sakurai-Sugiura method with a fast direct solver for the boundary element method with the fast multipole representation

机译：带有快速直接求解器的Sakurai-Sugiura方法和快速多极点表示法的边界元方法的周期带结构计算

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

In this paper, we present a numerical method for periodic band structure calculation, which is associated with eigenvalue problems for periodic problems, using the boundary element method (BEM). In the BEM, the eigenvalue problems are converted into non-linear eigenvalue problems, which are not tractable with conventional eigensolvers. In the present study, to solve non-linear eigenvalue problems, the block Sakurai-Sugiura (SS) method, which can convert non-linear eigenvalue problems into generalised eigenvalue problems, is utilised. A fast direct solver for the BEM with a fast multipole representation is employed in the algorithm of the block SS method since algebraic equations need to be solved for multiple right-hand sides in the block SS method. We conduct several numerical experiments related to phononic structures to confirm the validity and efficiency of the proposed method. We confirm that the proposed method can calculate the band structure of the phononic structures, and the computational time with the proposed method is less than that with a conventional FEM-based eigensolvers with triangular linear elements even for relatively small problems.
机译：在本文中，我们使用边界元法（BEM）提出了一种用于计算周期性带结构的数值方法，该方法与周期性问题的特征值问题相关。在BEM中，特征值问题被转换为非线性特征值问题，这是常规特征求解器无法解决的。在本研究中，为解决非线性特征值问题，采用了可以将非线性特征值问题转换为广义特征值问题的块Sakurai-Sugiura（SS）方法。在块SS方法的算法中，采用具有快速多极点表示的BEM快速直接求解器，因为需要在块SS方法中求解多个右侧的代数方程。我们进行了几个与声子结构有关的数值实验，以确认所提出方法的有效性和效率。我们确认，所提出的方法可以计算声子结构的能带结构，并且即使对于相对较小的问题，所提出的方法的计算时间也比具有三角形线性元素的传统基于FEM的特征求解器要少。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号