Optimized Operator-Splitting Methods in Numerical Integration of Maxwell's Equations
Joint Authors
Wu, X. L.
Huang, Z. X.
Sha, W. E. I.
Wu, B.
Source
International Journal of Antennas and Propagation
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-06
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Optimized operator splitting methods for numerical integration of the time domain Maxwell's equations in computational electromagnetics (CEM) are proposed for the first time.
The methods are based on splitting the time domain evolution operator of Maxwell's equations into suboperators, and corresponding time coefficients are obtained by reducing the norm of truncation terms to a minimum.
The general high-order staggered finite difference is introduced for discretizing the three-dimensional curl operator in the spatial domain.
The detail of the schemes and explicit iterated formulas are also included.
Furthermore, new high-order Padé approximations are adopted to improve the efficiency of the proposed methods.
Theoretical proof of the stability is also included.
Numerical results are presented to demonstrate the effectiveness and efficiency of the schemes.
It is found that the optimized schemes with coarse discretized grid and large Courant-Friedrichs-Lewy (CFL) number can obtain satisfactory numerical results, which in turn proves to be a promising method, with advantages of high accuracy, low computational resources and facility of large domain and long-time simulation.
In addition, due to the generality, our optimized schemes can be extended to other science and engineering areas directly.
American Psychological Association (APA)
Huang, Z. X.& Wu, X. L.& Sha, W. E. I.& Wu, B.. 2011. Optimized Operator-Splitting Methods in Numerical Integration of Maxwell's Equations. International Journal of Antennas and Propagation،Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-511245
Modern Language Association (MLA)
Huang, Z. X.…[et al.]. Optimized Operator-Splitting Methods in Numerical Integration of Maxwell's Equations. International Journal of Antennas and Propagation No. 2012 (2012), pp.1-8.
https://search.emarefa.net/detail/BIM-511245
American Medical Association (AMA)
Huang, Z. X.& Wu, X. L.& Sha, W. E. I.& Wu, B.. Optimized Operator-Splitting Methods in Numerical Integration of Maxwell's Equations. International Journal of Antennas and Propagation. 2011. Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-511245
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511245