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Paper The following article is Open access

Mesh generation techniques for numerical integration of arbitrary function over polygonal domain by finite element method

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Published under licence by IOP Publishing Ltd
, , Citation K.T. Shivaram and H.R. Jyothi 2019 IOP Conf. Ser.: Mater. Sci. Eng. 577 012149 DOI 10.1088/1757-899X/577/1/012149

1757-899X/577/1/012149

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.

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10.1088/1757-899X/577/1/012149