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Faster 3D finite element time domain : Floquet absorbing boundary condition modelling using recursive convolution and vector fitting

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Cai, Yong and Mias, Christos. (2009) Faster 3D finite element time domain : Floquet absorbing boundary condition modelling using recursive convolution and vector fitting. IET Microwaves Antennas & Propagation, Vol.3 (No.2). pp. 310-324. ISSN 1751-8725

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Official URL: http://dx.doi.org/10.1049/iet-map:20080029

Abstract

A recursive convolution (RC) based on the vector fitting (VF) method and triangular temporal basis functions is employed to compute the Floquet absorbing boundary condition (FABC) formulation in the vector 3D finite element time-domain (FETD) modelling of doubly periodic structures. This novel implementation (VF-RC-FETD-FABC) results in significantly lower computation time requirements than the standard convolution (SC) implementation. The numerical examples presented show a reduction in computation time requirements by a factor of at least 3.5. In addition, a time window in excess of 50 000 time steps is recorded over which practically stable results are obtained. This temporal window is sufficiently large to allow the modelling of many practical problems. The results from four such problems are presented, confirming the accuracy and speed of the VF-RC-FETD-FABC software.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics T Technology > TJ Mechanical engineering and machinery
Divisions:	Faculty of Science > Engineering
Library of Congress Subject Headings (LCSH):	Floquet theory, Finite element method, Convolutions (Mathematics)
Journal or Publication Title:	IET Microwaves Antennas & Propagation
Publisher:	The Institution of Engineering and Technology
ISSN:	1751-8725
Official Date:	March 2009
Volume:	Vol.3
Number:	No.2
Number of Pages:	15
Page Range:	pp. 310-324
Identification Number:	10.1049/iet-map:20080029
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
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URI:	http://wrap.warwick.ac.uk/id/eprint/28339