DocumentCode :
1759401
Title :
A Higher Order Space-Time Galerkin Scheme for Time Domain Integral Equations
Author :
Pray, Andrew J. ; Beghein, Yves ; Nair, Naveen V. ; Cools, Kristof ; Bagci, Hakan ; Shanker, Balasubramaniam
Author_Institution :
Dept. of Electr. & Comput. Eng., Michigan State Univ., East Lansing, MI, USA
Volume :
62
Issue :
12
fYear :
2014
fDate :
Dec. 2014
Firstpage :
6183
Lastpage :
6191
Abstract :
Stability of time domain integral equation (TDIE) solvers has remained an elusive goal for many years. Advancement of this research has largely progressed on four fronts: 1) Exact integration, 2) Lubich quadrature, 3) smooth temporal basis functions, and 4) space-time separation of convolutions with the retarded potential. The latter method´s efficacy in stabilizing solutions to the time domain electric field integral equation (TD-EFIE) was previously reported for first-order surface descriptions (flat elements) and zeroth-order functions as the temporal basis. In this work, we develop the methodology necessary to extend the scheme to higher order surface descriptions as well as to enable its use with higher order basis functions in both space and time. These basis functions are then used in a space-time Galerkin framework. A number of results are presented that demonstrate convergence in time. The viability of the space-time separation method in producing stable results is demonstrated experimentally for these examples.
Keywords :
Galerkin method; convolution; integral equations; time-domain analysis; Lubich quadrature; TDIE solvers; exact integration; first-order surface descriptions; higher order space-time Galerkin scheme; smooth temporal basis functions; space-time separation of convolutions; time domain integral equation solver; zeroth-order functions; Approximation methods; Convergence; Method of moments; Polynomials; Scattering; Testing; Time-domain analysis; Higher order temporal basis; marching-on-in-time; space-time Galerkin method; stability; time-domain analysis; time-domain integral equations;
fLanguage :
English
Journal_Title :
Antennas and Propagation, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-926X
Type :
jour
DOI :
10.1109/TAP.2014.2361156
Filename :
6915701
Link To Document :
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