Closed-form solutions are derived for the regular and adjacent-singular integrals involving the two-dimensional Laplacians Greens function and its normal derivative that arise in the Galerkin BEM. Motivation for their use is provided by comparing the accuracy and time required to compute the BEM system matrix relative to traditional numerical integration. Specifically, it is shown that the use of the closed-form solutions reduces computation time to produce the influence matrices by approximately 95% relative to Gauss quadrature with similar accuracy. All elements of these matrices are then expressed in a form convenient for implementation.
This publication pertains to:Charging Stations
- Aaron Brovont
- Steven Pekarek