Mesh Generation Techniques For Numerical Integration Of Arbitrary Function Over Polygonal Domain By Finite Element Method

In this paper, a new approach is introduced for approximat ing two dimensional surface integral problems numerically over a convex, non convex regions 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 examples.