A LOW-ORDER-SINGULARITY ELECTRIC-FIELD INTEGRAL EQUATION SOLVABLE WITH PULSE BASIS FUNCTIONS AND POINT MATCHING

The reduced basis method for the electric field integral equation

We introduce the Reduced Basis Method (RBM) as an efficient tool for parametrized scattering problems in computational electromagnetics for problems where field solutions are computed using a standard Boundary Element Method (BEM) for the parametrized Electric Field Integral Equation (EFIE). This combination enables an algorithmic cooperation which results in a two step procedure. The first ste...

Certified Reduced Basis Method for the Electric Field Integral Equation

In [5], a reduced basis method (RBM) for the electric field integral equation (EFIE) based on the boundary element method (BEM) is developed, based on a simplified a posteriori error estimator for the Greedy-based snapshot selection. In this paper, we extend this work and propose a certified RBM for the EFIE based on a mathematically rigorous a posteriori estimator. The main difficulty of the c...

Integral Equation Analysis with Characteristic Basis Functions

analysis of large electromagnetic pulse simulators using the electric field integral equation method in time domain

a time-domain approach is presented to calculate electromagnetic fields inside a large electromagnetic pulse (emp) simulator. this type of emp simulator is used for studying the effect of electromagnetic pulses on electrical apparatus in various structures such as vehicles, a reoplanes, etc. the simulator consists of three planar transmission lines. to solve the problem, we first model the meta...

Singularity treatment and high-order RWG basis functions for integral equations of electromagnetic scattering

Various numerical techniques have been developed to carry out the electromagnetic Aeld simulation. They include mode matching method based on the eigenmode expansion of the computed object such as a cavity [1], Anite diDerence time-domain (FDTD) using Yee scheme [2], or integral equation formulation [3] with Galerkin-type approximation such as the method of moments (MOM) [4] or point matching m...