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Quadrature Rule for Triangles

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Old   August 27, 2002, 17:45
Default Quadrature Rule for Triangles
  #1
Khurram
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Hi I am in search of higher Quadrature Rule for Triangles (for numerical integration). I have implemented 13 point rule but i need higher points. Can any one have seen it in litrature? Thanks
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Old   August 27, 2002, 19:16
Default Re: Quadrature Rule for Triangles
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Tony
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Please find:

P. Keast, "Moderate-degree tetrahedral quadrature formulas", Comp Meth Appl Mech and Eng, vol 55:339-348(1986).

Good luck.
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Old   August 28, 2002, 15:56
Default Re: Quadrature Rule for Triangles
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Khurram
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Thanks Tony. Keast's paper only have rules for Tetra Hedra elements. I want the higher order rules for Triangles. I have the paper by G.R.Cowper who tabulated integration rules for triangle. But he went upto 13 point rule. I want higher rule. Waiting for reply
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Old   August 28, 2002, 19:15
Default Re: Quadrature Rule for Triangles
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Tony
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Hope you may find the following classical references interesting:

Stroud, AH, 1971, Approximate calculation of multiple integrals, Englewood Cliffs, N.J., Prentice-Hall.

Cools, R & Rabinowitz, P, (1993), Monomial cubature rules since ˇ°Stroudˇ±: a compilation. J Computational and Applied Mathematics, 48: 309-326.
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