文章基本信息

标题：Multigrid method based on transformation-free high-order scheme for solving 2D Helmholtz equation on nonuniform grids
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作者：Fazal Ghaffar ; Noor Badshah ; Saeed Islam 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2016
卷号：2016
期号：1
页码：19
DOI：10.1186/s13662-016-0745-2
语种：English
出版社：Hindawi Publishing Corporation
摘要：High-order compact difference schemes can achieve higher-order accuracy on uniform grids. However, in some cases these may not achieve the desired accuracy. Therefore, we propose a multigrid method based on high-order compact difference scheme on nonuniform grids. We will use interpolation and restriction operators developed by Ge and Cao (J. Comput. Phys. 230:4051-4070, 2011). The suggested scheme has up to fourth-order accuracy. Lastly, some numerical experiments are given to show the accuracy and performance of the proposed scheme.
关键词：Helmholtz equation ; compact iterative schemes ; multigrid method ; nonuniform grids