Quadrature for second-order triangles in the Boundary Element Method
arXiv:1302.60541 citationsh-index: 16
Originality Synthesis-oriented
AI Analysis
It provides a practical quadrature scheme for higher-order boundary elements, which is incremental for computational mechanics practitioners.
The paper presents a quadrature method for second-order curved triangular elements in BEM, achieving an error of order P^{-1.6} for the Laplace equation on a cat's eye geometry.
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.