Hierarchical Matrices Method and Its Application in Electromagnetic Integral Equations
Joint Authors
Shao, Hanru
Hu, Jun
Guo, Han
Nie, Zaiping
Source
International Journal of Antennas and Propagation
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-01
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Hierarchical (H-) matrices method is a general mathematical framework providing a highly compact representation and efficient numerical arithmetic.
When applied in integral-equation- (IE-) based computational electromagnetics, H-matrices can be regarded as a fast algorithm; therefore, both the CPU time and memory requirement are reduced significantly.
Its kernel independent feature also makes it suitable for any kind of integral equation.
To solve H-matrices system, Krylov iteration methods can be employed with appropriate preconditioners, and direct solvers based on the hierarchical structure of H-matrices are also available along with high efficiency and accuracy, which is a unique advantage compared to other fast algorithms.
In this paper, a novel sparse approximate inverse (SAI) preconditioner in multilevel fashion is proposed to accelerate the convergence rate of Krylov iterations for solving H-matrices system in electromagnetic applications, and a group of parallel fast direct solvers are developed for dealing with multiple right-hand-side cases.
Finally, numerical experiments are given to demonstrate the advantages of the proposed multilevel preconditioner compared to conventional “single level” preconditioners and the practicability of the fast direct solvers for arbitrary complex structures.
American Psychological Association (APA)
Guo, Han& Hu, Jun& Shao, Hanru& Nie, Zaiping. 2012. Hierarchical Matrices Method and Its Application in Electromagnetic Integral Equations. International Journal of Antennas and Propagation،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-496235
Modern Language Association (MLA)
Guo, Han…[et al.]. Hierarchical Matrices Method and Its Application in Electromagnetic Integral Equations. International Journal of Antennas and Propagation No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-496235
American Medical Association (AMA)
Guo, Han& Hu, Jun& Shao, Hanru& Nie, Zaiping. Hierarchical Matrices Method and Its Application in Electromagnetic Integral Equations. International Journal of Antennas and Propagation. 2012. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-496235
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496235