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High-Order Compact Difference Scheme and Multigrid Method for Solving the 2D Elliptic Problems
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-11
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Wang, Yan& Ge, Yongbin. 2018. High-Order Compact Difference Scheme and Multigrid Method for Solving the 2D Elliptic Problems. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1209007
Modern Language Association (MLA)
Wang, Yan& Ge, Yongbin. High-Order Compact Difference Scheme and Multigrid Method for Solving the 2D Elliptic Problems. Mathematical Problems in Engineering No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1209007
American Medical Association (AMA)
Wang, Yan& Ge, Yongbin. High-Order Compact Difference Scheme and Multigrid Method for Solving the 2D Elliptic Problems. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1209007
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209007