Highly Efficient Calculation Schemes of Finite-Element Filter Approach for the Eigenvalue Problem of Electric Field
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-26
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
This paper discusses finite-element highly efficient calculation schemes for solving eigenvalue problem of electric field.
Multigrid discretization is extended to the filter approach for eigenvalue problem of electric field.
With this scheme one solves an eigenvalue problem on a coarse grid just at the first step, and then always solves a linear algebraic system on finer and finer grids.
Theoretical analysis and numerical results show that the scheme has high efficiency.
Besides, we use interpolation postprocessing technique to improve the accuracy of solutions, and numerical results show that the scheme is an efficient and significant method for eigenvalue problem of electric field.
American Psychological Association (APA)
Zhang, Yu& Yang, Yidu& Liu, Jie. 2012. Highly Efficient Calculation Schemes of Finite-Element Filter Approach for the Eigenvalue Problem of Electric Field. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1001670
Modern Language Association (MLA)
Zhang, Yu…[et al.]. Highly Efficient Calculation Schemes of Finite-Element Filter Approach for the Eigenvalue Problem of Electric Field. Mathematical Problems in Engineering No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-1001670
American Medical Association (AMA)
Zhang, Yu& Yang, Yidu& Liu, Jie. Highly Efficient Calculation Schemes of Finite-Element Filter Approach for the Eigenvalue Problem of Electric Field. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1001670
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001670