2010 Volume 5 Pages S2111
A three-dimensional boundary-node method without any integration cells has been formulated. In the proposed method, an implicit surface is assumed as a surface boundary, and the 3D local coordinates are used to evaluate surface integrals. Numerical experiments illustrate that although the computational costs of the proposed method are larger than those of the boundary element method (BEM), the proposed method enables the evaluation of surface integrals without any integration cells. In addition, the accuracy of the proposed method is almost the same as that of the BEM for the Laplace problem.
