Mesh generation techniques for numerical integration of arbitrary function over polygonal domain by finite element method
K. T. Shivaram, H.R. Jyothi · IOP Conference Series Materials Science and Engineering · 2019
Abstract In this paper, a new approach is introduced for approximating two dimensional surface integral proble ms numerically over a convex, non convex reg ions such integrals are typically occur in boundary element method (BEM), the approach given here is domain discretized method by influence of quadrilateral mesh generation technique, then apply Gauss Legendre quadrature rule to generate Gaussian points over convex, nonconvex region. The performances of this method are illustrated with numerical examp les.