An Algorithm for Automatic Integration Over a Triangle Using Nonlinear Extrapolation
Ian Robinson · ACM Transactions on Mathematical Software · 1984
We describe an automatm algorithm for integration over a triangle.The algorithm uses an adaptive subdwlsional strategy with global acceptance criteria and incorporates the e-algorithm to speed convergence.Numerical results are presented which show that it deals effectively with various types of singularity along the boundaries of the integration triangle (or along the boundaries of eventual subtriangles of the subdivision).