Error Minimization and Covergence in Numerical Methods

Abstract

Operators that occur in the solution to boundary value problems in electromagnetic theory are reviewed in Hilbert space. Various types of convergence are discussed. The Method of Moments is reviewed and the special cases of Galerkin's Method, the Raleigh-Ritz Method, and the Method of Least Squares are included. Error minimisation and convergence in the various cases are emphasised. A classic electromagnetic example is discussed and operator characteristics in the quasistatic limit are noted.