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August 27, 2002, 18:45 |
Quadrature Rule for Triangles
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#1 |
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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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August 27, 2002, 20:16 |
Re: Quadrature Rule for Triangles
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#2 |
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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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August 28, 2002, 16:56 |
Re: Quadrature Rule for Triangles
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#3 |
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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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August 28, 2002, 20:15 |
Re: Quadrature Rule for Triangles
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#4 |
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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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