scholarly journals Parallel PWTD-Accelerated Explicit Solution of the Time-Domain Electric Field Volume Integral Equation

2016 ◽  
Vol 64 (6) ◽  
pp. 2378-2388 ◽  
Author(s):  
Yang Liu ◽  
Ahmed Al-Jarro ◽  
Hakan Bagci ◽  
Eric Michielssen
Keyword(s):  
Integral Equation ◽  
Electric Field ◽  
Time Domain ◽  
Explicit Solution ◽  
Volume Integral ◽  
Volume Integral Equation ◽  
The Time Domain

scholarly journals Explicit Solution of the Time Domain Volume Integral Equation Using a Stable Predictor-Corrector Scheme

2012 ◽  
Vol 60 (11) ◽  
pp. 5203-5214 ◽  
Author(s):  
Ahmed Al-Jarro ◽  
Mohamed A. Salem ◽  
Hakan Bagci ◽  
Trevor M. Benson ◽  
Phillip Sewell ◽  
...  
Keyword(s):  
Integral Equation ◽  
Time Domain ◽  
Explicit Solution ◽  
Volume Integral ◽  
Volume Integral Equation ◽  
The Time Domain ◽  
Predictor Corrector

Analysis of Convolution Quadrature Applied to the Time-Domain Electric Field Integral Equation

2012 ◽  
Vol 11 (2) ◽  
pp. 383-399 ◽  
Author(s):  
Q. Chen ◽  
P. Monk ◽  
X. Wang ◽  
D. Weile
Keyword(s):  
Integral Equation ◽  
Electric Field ◽  
Time Domain ◽  
Electromagnetic Scattering ◽  
Optimal Order ◽  
Electric Field Integral Equation ◽  
Optimal Order Of Convergence ◽  
Convolution Quadrature ◽  
The Time Domain ◽  
Field Integral

AbstractWe show how to apply convolution quadrature (CQ) to approximate the time domain electric field integral equation (EFIE) for electromagnetic scattering. By a suitable choice of CQ, we prove that the method is unconditionally stable and has the optimal order of convergence. Surprisingly, the resulting semi discrete EFIE is dispersive and dissipative, and we analyze this phenomena. Finally, we present numerical results supporting and extending our convergence analysis.

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