DocumentCode :
2491312
Title :
Marching-on-in-degree solver of time domain integral equation based on near-orthogonal higher order hierarchical basis functions
Author :
Zhang, Huanhuan ; Shi, Yifei ; Wang, Quanquan ; Wang, Daoxiang ; Chen, Rushan
Author_Institution :
Dept. of Commun. Eng., Nanjing Univ. of Sci. & Technol., Nanjing, China
Volume :
2
fYear :
2012
fDate :
5-8 May 2012
Firstpage :
1
Lastpage :
4
Abstract :
In this paper, the time domain integral equation is solved by marching-on-in-degree method with near-orthogonal higher order hierarchical Legendre basis as spatial basis functions and causal weighted Laguerre polynomials as temporal basis functions. In the traditional marching-on-in-degree solver of time domain integral equation, RWG basis functions are used as spatial basis functions. The memory requirement and time consuming is very large, which becomes a bottleneck of marching-on-in-degree method. In order to solve this problem, the object is meshed with second-order nine-node curved quadrilateral elements and near-orthogonal higher order hierarchical Legendre basis functions are adopted as spatial basis functions. Numerical results show that this method can greatly reduce the unknowns of the problem, by which it can save memory and CPU time.
Keywords :
Legendre polynomials; electromagnetic field theory; integral equations; CPU time; RWG basis functions; causal weighted Laguerre polynomials; hierarchical Legendre basis; marching-on-in-degree solver; near-orthogonal higher order hierarchical Legendre basis functions; second-order nine-node curved quadrilateral elements; spatial basis functions; temporal basis functions; time domain integral equation; Integral equations; Memory management; Moment methods; Polynomials; Surface impedance; Time domain analysis; Transient analysis;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Microwave and Millimeter Wave Technology (ICMMT), 2012 International Conference on
Conference_Location :
Shenzhen
Print_ISBN :
978-1-4673-2184-6
Type :
conf
DOI :
10.1109/ICMMT.2012.6230069
Filename :
6230069
Link To Document :
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