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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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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  
Dates: 


Volume:  Vol.3  
Number:  No.2  
Number of Pages:  15  
Page Range:  pp. 310324  
Identifier:  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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