A quadrature method for second-order, curved triangular elements in the Boundary Element Method (BEM) is presented, based on a polar coordinate transformation, combined with elementary geometric operations. The numerical performance of the method is presented using results from solution of the Laplace equation on a cat's eye geometry which show an error of order $P^{ -1.6}$, where $P$ is the number of elements.
Categories: math.NA physics.comp-ph physics.flu-dyn