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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

Dates:

Date	Event
March 2009	Published

Volume:

Vol.3

Number:

No.2

Number of Pages:

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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