Modified fast multipole algorithm using well-conditioned electric field integral equation for electromagnetic scattering problem

2011 ◽  
Vol 53 (8) ◽  
pp. 1811-1815
Author(s):  
H. Chen ◽  
L. Wang ◽  
R. S. Chen
Keyword(s):  
Integral Equation ◽  
Electric Field ◽  
Electromagnetic Scattering ◽  
Scattering Problem ◽  
Fast Multipole ◽  
Electric Field Integral Equation ◽  
Fast Multipole Algorithm ◽  
Field Integral

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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