A Self-Optimizing Discretization Scheme for 2d bOundary Element Calculations

Abstract

A self-optimizing discretization adjustment scheme is described for boundary element calculations. The aim is to obtain high accuracy with limited computer resources. Examples will be given of two-dimensional static field calculations, where small capacitances are accurately determined in presence of others with three up to five orders larger values. To demonstrate the power of the scheme, the simplest basis function is used: a constant charge density per boundary segment. Several results are compared to exact calculations, and fast convergence and good agreement are demonstrated.