• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文会议>International Conference on Simulation Technology >Numerical Investigation of Preconditioning for Iterative Methods in Linear Systems Obtained by Extended Element-Free Galerkin Method
【24h】

Numerical Investigation of Preconditioning for Iterative Methods in Linear Systems Obtained by Extended Element-Free Galerkin Method

机译：延伸无元素Galerkin方法获得的线性系统中迭代方法预处理的数值研究

获取原文
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

In an extended element-free Galerkin method (X-EFG), the essential and natural boundary conditions can be imposed by the collocation based method. However, a coefficient matrix of linear systems obtained by X-EFG become asymmetric, although a symmetric structure exists in a part of the coefficient matrix. In fact, the structure of the coefficient matrices almost becomes symmetric when the size of linear systems is large. Hence, efficient effects may be obtained by using preconditioning for symmetric matrices. The purpose of the present study is to investigate effects of preconditioning for symmetric matrices to linear systems obtained by X-EFG. To this end, the incomplete Cholesky factorization (IC) is applied to the linear systems by regarding the coefficient matrix as symmetric one. In numerical experiments, it is found that the linear systems obtained by X-EFG can efficiently be solved by using IC as preconditioning for GMRES(m) and Bi-CGSTAB.
机译：在不扩展的无元素Galerkin方法（X-EFG）中，基于搭配的方法可以施加必要和自然的边界条件。然而，通过X-EFG获得的线性系统的系数矩阵变得不对称，尽管在系数矩阵的一部分中存在对称结构。实际上，当线性系统的尺寸大时，系数矩阵的结构几乎变为对称。因此，可以通过使用对称矩阵的预处理来获得有效的效果。本研究的目的是研究预处理对称矩阵对由X-EFG获得的线性系统的影响。为此，通过将C系数矩阵视为对称矩阵，将不完整的Cholesky分解（IC）应用于线性系统。在数值实验中，发现通过使用IC作为GMRES（M）和BI-CGSTAB的预处理可以有效地解决了通过X-EFG获得的线性系统。

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