Title :
A Boundary Difference Method for Electromagnetic Scattering Problems With Perfect Conductors and Corners
Author :
Alkhateeb, Osama ; Tsukerman, Igor
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Akron, Akron, OH, USA
Abstract :
Boundary integral equations (BIE) are widely used in applied electromagnetics, with the boundary element method (BEM) typically employed for numerical solution. The paper extends the recently proposed boundary difference method (BDM)-an alternative to BEM-to electromagnetic scattering problems with perfect conductors and with corners. BDM shares several key features and advantages of BEM but avoids the singular kernels inherent in BIE. Convergence rates of the method established via numerical experiments are in agreement with the theoretical predictions.
Keywords :
boundary integral equations; boundary-elements methods; computational electromagnetics; conductors (electric); convergence of numerical methods; electromagnetic wave scattering; BDM; BEM; BIE; boundary difference method; boundary element method; boundary integral equation; convergence rate; electromagnetic scattering problem; perfect conductor; Boundary conditions; Equations; Fires; Green´s function methods; Lattices; Mathematical model; Method of moments; Boundary difference equations; Green functions; boundary element methods; boundary integral equations; difference equations; diffraction; discrete transforms; flexible local approximation; scattering;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2013.2275152
