Numerical Analysis for Electromagnetic Intergral Equations

This applications-focused resource helps practitioners quickly improve EM simulation efforts. It is the first book on integral equation-based methods that combines quantitative formulas for predicting numerical simulation accuracy with rigorous error estimates and results for dozens of electromagnetics and wave propagation problems. Bridging the gap between abstract academic treatments and the real-world needs of engineers, this informative volume: Offers latest insights on accuracy-improving methods like regularization and error-increasing physical effects such as edge singularities and resonance; Presents full details on how to determine mesh density, choice of basis functions, and other parameters needed to optimize a numerical simulation; Introduces various surface integral equation formulations, approaches to discretizing the integral equations, and measures of solution accuracy; Covers numerical methods for 2D and 3D radiation and scattering problems, emphasizing concrete solution error bounds with exactly given constants; Provides techniques for higher-order basis functions and a simple rule for determining solution convergence rates for electric, magnetic, and combined field integral equations; Features a comprehensive treatment of resonant scatterers and structures; Discusses the convergence of the iterative linear system solvers commonly used with the fast multipole method, complete with studies of practical methods for understanding and improving the efficiency of iterative solutions.