Symmetric Gauss Legendre quadrature formulas for composite numerical integration over a triangular surface
نویسندگان
چکیده
منابع مشابه
Symmetric Gauss Legendre quadrature formulas for composite numerical integration over a triangular surface
This paper first presents a Gauss Legendre quadrature method for numerical integration of I 1⁄4 R R T f ðx; yÞdxdy, where f(x,y) is an analytic function in x, y and T is the standard triangular surface: {(x,y)j0 6 x, y 6 1, x + y 6 1} in the Cartesian two dimensional (x,y) space. We then use a transformation x = x(n,g), y = y(n,g) to change the integral I to an equivalent integral R R S f ðxðn;...
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This paper presents a Gauss Legendre quadrature method for numerical integration over the standard triangular surface: {(x, y) | 0 , 1, 1} x y x y ≤ ≤ + ≤ in the Cartesian two-dimensional (x, y) space. Mathematical transformation 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 difficul...
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2007
ISSN: 0096-3003
DOI: 10.1016/j.amc.2006.10.041