function [ w, xyz ] = tetr_unit_o24 ( ) %*****************************************************************************80 % %% TRIG_UNIT_O24 returns a 24 point quadrature rule for the unit tetrahedron. % % Discussion: % % The integration region is: % % 0 <= X % 0 <= Y % 0 <= Z % X + Y + Z <= 1. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 19 April 2009 % % Author: % % John Burkardt % % Reference: % % Carlos Felippa, % A compendium of FEM integration formulas for symbolic work, % Engineering Computation, % Volume 21, Number 8, 2004, pages 867-890. % % Parameters: % % Output, real W(24), the weights. % % Output, real XYZ(3,24), the abscissas. % w(1:24) = [ ... 0.039922750257869636194, ... 0.039922750257869636194, ... 0.039922750257869636194, ... 0.039922750257869636194, ... 0.010077211055345822612, ... 0.010077211055345822612, ... 0.010077211055345822612, ... 0.010077211055345822612, ... 0.055357181543927398338, ... 0.055357181543927398338, ... 0.055357181543927398338, ... 0.055357181543927398338, ... 0.048214285714285714286, ... 0.048214285714285714286, ... 0.048214285714285714286, ... 0.048214285714285714286, ... 0.048214285714285714286, ... 0.048214285714285714286, ... 0.048214285714285714286, ... 0.048214285714285714286, ... 0.048214285714285714286, ... 0.048214285714285714286, ... 0.048214285714285714286, ... 0.048214285714285714286 ]; xyz(1:3,1:24) = [ ... 0.35619138622025439121, 0.21460287125991520293, 0.21460287125991520293; ... 0.21460287125991520293, 0.35619138622025439121, 0.21460287125991520293; ... 0.21460287125991520293, 0.21460287125991520293, 0.35619138622025439121; ... 0.21460287125991520293, 0.21460287125991520293, 0.21460287125991520293; ... 0.87797812439616594065, 0.040673958534611353116, 0.040673958534611353116; ... 0.040673958534611353116, 0.87797812439616594065, 0.040673958534611353116; ... 0.040673958534611353116, 0.040673958534611353116, 0.87797812439616594065; ... 0.040673958534611353116, 0.040673958534611353116, 0.040673958534611353116; ... 0.032986329573173468968, 0.32233789014227551034, 0.32233789014227551034; ... 0.32233789014227551034, 0.032986329573173468968, 0.32233789014227551034; ... 0.32233789014227551034, 0.32233789014227551034, 0.032986329573173468968; ... 0.32233789014227551034, 0.32233789014227551034, 0.32233789014227551034; ... 0.60300566479164914137, 0.26967233145831580803, 0.063661001875017525299; ... 0.60300566479164914137, 0.063661001875017525299, 0.26967233145831580803; ... 0.60300566479164914137, 0.063661001875017525299, 0.063661001875017525299; ... 0.063661001875017525299, 0.60300566479164914137, 0.26967233145831580803; ... 0.063661001875017525299, 0.60300566479164914137, 0.063661001875017525299; ... 0.063661001875017525299, 0.063661001875017525299, 0.60300566479164914137; ... 0.26967233145831580803, 0.60300566479164914137, 0.063661001875017525299; ... 0.26967233145831580803, 0.063661001875017525299, 0.60300566479164914137; ... 0.26967233145831580803, 0.063661001875017525299, 0.063661001875017525299; ... 0.063661001875017525299, 0.26967233145831580803, 0.60300566479164914137; ... 0.063661001875017525299, 0.26967233145831580803, 0.063661001875017525299; ... 0.063661001875017525299, 0.063661001875017525299, 0.26967233145831580803 ]'; return end