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An Accurate Evaluation Procedure of Triangular Domain Integrals

Corresponding Author : Razwan Ahamad (rahamad-mat@sust.edu)

Authors : Razwan Ahamad , Farzana Hussain , M. S. Karim , Mizanur Rahaman , M. Rahman

Keywords : Standard triangle, domain integral, square domain, isoparametric transformation, finite element

Abstract :

This paper mainly concentrates to present a technique to evaluate exactly the triangular domain integrals with satisfactory degree of accuracy. Hence, the technique instead of the usual Gaussian quadrature formula for triangle will find better place in application when high accuracy is desired. Further, the technique successfully accommodates the readily available Gaussian quadrature formulae for square and therefore it guaranties the high accuracy in evaluating such integrals.  

Published on June 30th, 2010 in Volume 12, Issue1, Applied Sciences and Technology