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.
@article{arxiv.1302.6054,
title = {Quadrature for second-order triangles in the Boundary Element Method},
author = {Michael Carley},
journal= {arXiv preprint arXiv:1302.6054},
year = {2013}
}
Comments
14 pages; 6 figures; submitted to International Journal for Numerical Methods in Engineering