Publication

Abstract : This paper presents a Gauss Legendre quadrature method for numerical int egration over the standard triangular surface: {(x, y) | 0, 1 ,1 } x y xy ≤≤ +≤ in the Cartesian two-dimensional (x, y) sp ace. Mathematical transforma- tion from (x, y) space to ( ξ, η) space map the standard triangle in ( x, y) space to a standard 2-square in ( ξ, η) space: {(ξ, η)|-1 ≤ ξ, η ≤ 1}. This overcomes the difficulties associated with the derivation of new weight coeff i- cients and sampling points and yields results which are accurate and reliable. Results obtained with new formulae are compared with the existing formulae.