Accuracy Control and Error Estimation for Computations Involving Electrostatic Integral Equations: A simple way to assign error bars to numerical results

The capacitance of a single conductor or a set of parallel plates is used to illustrate systematic procedures for estimating the accuracy of simple numerical solutions arising from integral equations. Accuracy improvement is offered by manual mesh refinement, automatic mesh refinement, and the incorporation of special singular basis functions. Extrapolation procedures offer a straightforward process for assigning error bars to numerical results.