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A Cascadic Multigrid Method for Nonsymmetric Eigenvalue Problem

2019-08-26 10:47

报告人: 岳美玲

报告人单位: 北京工商大学

时间: 2019-08-27 10:00-11:00

地点: 卫津路校区6号楼111教

开始时间: 10:00

报告人简介: 讲师

年: 2019

日月: 08.27

In this talk, we proposed a cascadic multigrid method to solve nonsymmetric eigenvalue problems. Based on the multilevel correction method, the proposed method transforms a nonsymmetric eigenvalue problem solving on the finest finite element space to linear smoothing steps on a sequence of multilevel finite element spaces and some nonsymmetric eigenvalue problems solving in a very low dimensional space. Choosing the sequence of finite element spaces and the number of smoothing steps appropriately, we obtain the optimal convergence rate with the optimal scale of computational work. Some numerical examples are provided to validate the theoretical results and the efficiency of this proposed scheme.

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