Code: Quadrature on Tetrahedra
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(Created page with "Some Gauss quadrature rules for the right-tetrahedron with corners at (0,0,0), (1,0,0), (0,1,0), (0,0,1). <pre> 4-point quadrature, k=2 ---------------------...")
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(Created page with "Some Gauss quadrature rules for the right-tetrahedron with corners at (0,0,0), (1,0,0), (0,1,0), (0,0,1). <pre> 4-point quadrature, k=2 ---------------------...")
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Revision as of 12:34, 9 July 2011
Some Gauss quadrature rules for the right-tetrahedron with corners at (0,0,0), (1,0,0), (0,1,0), (0,0,1).
4-point quadrature, k=2
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a=0.58541020, b=0.13819660
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x-coordinate y-coordinate z-coordinate 6 x Weight
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a b b 0.25
b a b 0.25
b b a 0.25
a a a 0.25
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4-point quadrature, k=3
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x-coordinate y-coordinate z-coordinate 6 x Weight
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1/4 1/4 1/4 -8/10
1/2 1/6 1/6 9/20
1/6 1/2 1/6 9/20
1/6 1/6 1/2 9/20
1/6 1/6 1/6 9/20
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</pre>
