NUMERICAL COMPARISON OF TWO BOUNDARY ELEMENT METHODS FOR PLANE HARMONIC FUNCTIONS

摘要

A direct boundary element method (BEM) has been studied inthe paper based on a set of sufficient and necessary boundary integral equations(BIE) for the plane harmonic functions. The new sufficient and necessary BEM leadsto accurate results while the conventional insufficient BEM will lead to inaccurateresults when the conventional BIE has multiple solutions. Theoretical and numericalanalyses show that it is beneficial to use the sufficient and necessary BEM, to avoidhidden dangers due to non-unique solution of the conventional BIE.