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A Smoothing Process of Multicolor Relaxation for Solving Partial Differential Equation by Multigrid Method
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-25
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper is concerned with a novel methodology of smoothing analysis process of multicolor point relaxation by multigrid method for solving elliptically partial differential equations (PDEs).
The objective was firstly focused on the two-color relaxation technique on the local Fourier analysis (LFA) and then generalized to the multicolor problem.
As a key starting point of the problems under consideration, the mathematical constitutions among Fourier modes with various frequencies were constructed as a base to expand two-color to multicolor smoothing analyses.
Two different invariant subspaces based on the 2h-harmonics for the two-color relaxation with two and four Fourier modes were constructed and successfully used in smoothing analysis process of Poisson’s equation for the two-color point Jacobi relaxation.
Finally, the two-color smoothing analysis was generalized to the multicolor smoothing analysis problems by multigrid method based on the invariant subspaces constructed.
American Psychological Association (APA)
Zhu, Xingwen& Lixiang, Zhang. 2014. A Smoothing Process of Multicolor Relaxation for Solving Partial Differential Equation by Multigrid Method. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1044303
Modern Language Association (MLA)
Zhu, Xingwen& Lixiang, Zhang. A Smoothing Process of Multicolor Relaxation for Solving Partial Differential Equation by Multigrid Method. Mathematical Problems in Engineering No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1044303
American Medical Association (AMA)
Zhu, Xingwen& Lixiang, Zhang. A Smoothing Process of Multicolor Relaxation for Solving Partial Differential Equation by Multigrid Method. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1044303
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1044303