文献类型：期刊文献

英文题名：Numerical efficiency of modified modulus-based multigrid cycles with application to free boundary problems

作者：Zhang, Li-Li[1]

第一作者：张丽丽

通讯作者：Zhang, LL[1]

机构：[1]Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Peoples R China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

年份：2021

卷号：117

外文期刊名：APPLIED MATHEMATICS LETTERS

收录：;EI(收录号：20210809972124);Scopus(收录号：2-s2.0-85101140130);WOS:【SCI-EXPANDED(收录号:WOS:000633046400009)】；

基金：The author thanks the reviewers for their constructive suggestions and helpful comments, which greatly improved the original manuscript of this paper. This paper is supported by Key Research Project of Henan Higher Education Institutions, China (No. 21A110003) and NG Teng Fong/Sino Outstanding Youth Fund of HUEL, China.

语种：英文

外文关键词：Free boundary problem; Modulus-based multigrid method; Modified V-cycle; Numerical efficiency

摘要：When the modified modulus-based multigrid method is applied to solve free boundary problems, the V-cycle does not show a grid-independence convergence rate. To improve the convergence rate of the V-cycle, we consider a modified V-cycle which is a combination of the V-cycle on coarser grids and the W-cycle on finer grids. We also consider the F-cycle. The computational works of these multigrid cycles are given to show their numerical efficiency. Numerical results show that both the modified V-cycle and the F-cycle can achieve the grid-independence convergence rate compared with the V-cycle and can reduce the computing time compared with the W-cycle. (C) 2021 Elsevier Ltd. All rights reserved.