Open AccessMesh generation techniques for numerical integration of arbitrary function over polygonal domain by finite element method
Author(s) -
K. T. Shivaram,
H. R. Jyothi
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/577/1/012149
Subject(s) - gaussian quadrature , quadrilateral , discretization , gaussian integral , boundary element method , mathematics , finite element method , quadrature (astronomy) , mathematical analysis , regular polygon , domain (mathematical analysis) , boundary (topology) , effective domain , numerical integration , geometry , integral equation , nyström method , convex set , physics , convex optimization , structural engineering , engineering , optics
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.