High-order compact difference scheme and multigrid method for solving the 2D elliptic problems
type: Item
instance of: scholarly article
title: High-order compact difference scheme and multigrid method for solving the 2D elliptic problems
zbMATH Open document ID: 1427.65333
DOI: 10.1155/2018/7831731
author: Yan Wang
author: Yongbin Ge
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: A high-order compact difference scheme for solving the two-dimensional (2D) elliptic problems is proposed by including compact approximations to the leading truncation error terms of the central difference scheme. A multigrid method is employed to overcome the difficulties caused by conventional iterative methods when they are used to solve the linear algebraic system arising from the high-order compact scheme. Numerical experiments are conducted to test the accuracy and efficiency of the present method. The computed results indicate that the present scheme achieves the fourth-order accuracy and the effect of the multigrid method for accelerating the convergence speed is significant.
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 7019495
describes a project that uses: Wesseling
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/7831731
OpenAlex ID: W2808705902
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description: scientific article; zbMATH DE number 7019495