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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. 310324. ISSN 17518725

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WRAP_Mias_0170228es121211iet_cai_mias_4_6_2008.pdf  Accepted Version  Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader Download (1154Kb) 
Official URL: http://dx.doi.org/10.1049/ietmap: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 timedomain (FETD) modelling of doubly periodic structures. This novel implementation (VFRCFETDFABC) 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 VFRCFETDFABC 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:  17518725 
Official Date:  March 2009 
Volume:  Vol.3 
Number:  No.2 
Number of Pages:  15 
Page Range:  pp. 310324 
Identification Number:  10.1049/ietmap:20080029 
Status:  Peer Reviewed 
Publication Status:  Published 
Access rights to Published version:  Restricted or Subscription Access 
References:  [1] Petersson, L. E. R., and Jin, J. M.: ‘Analysis of periodic structures via a timedomain finiteelement 
URI:  http://wrap.warwick.ac.uk/id/eprint/28339 
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