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Code: Quadrature on Tetrahedra

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Jonas Holdeman (Talk | contribs)
(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
  ------------------------------------------------------
            a=0.58541020,   b=0.13819660
  ------------------------------------------------------
  x-coordinate  y-coordinate  z-coordinate    6 x Weight
  ------------------------------------------------------
         a             b             b           0.25 
         b             a             b           0.25 
         b             b             a           0.25 
         a             a             a           0.25 
  ------------------------------------------------------
               4-point quadrature,   k=3
  ------------------------------------------------------
  x-coordinate  y-coordinate  z-coordinate    6 x Weight
  ------------------------------------------------------
       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
  ------------------------------------------------------

</pre>

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