Integral Evaluation for a Closed-Form 2-D Potential Formulation of the Galerkin BEM


Closed-form solutions are derived for the regular and adjacent-singular integrals involving the two-dimensional Laplacian’s Green’s 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.

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This publication pertains to:
Charging Stations
Publication Authors:
  • Aaron Brovont
  • Steve Pekarek
It appeared in:
Peer-reviewed technical journal
Boundary element method, Galerkin, Analytical integration,Two-dimensional Laplace equation, Regular integrals, Adjacent singular integrals