function [ w, xyz ] = tetr_unit_o14b ( ) %*****************************************************************************80 % %% TRIG_UNIT_O14B returns a 14 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(14), the weights. % % Output, real XYZ(3,14), the abscissas. % w(1:14) = [ ... 0.13283874668559071814, ... 0.13283874668559071814, ... 0.13283874668559071814, ... 0.13283874668559071814, ... 0.088589824742980710434, ... 0.088589824742980710434, ... 0.088589824742980710434, ... 0.088589824742980710434, ... 0.019047619047619047619, ... 0.019047619047619047619, ... 0.019047619047619047619, ... 0.019047619047619047619, ... 0.019047619047619047619, ... 0.019047619047619047619 ]; xyz(1:3,1:14) = [ ... 0.056881379520423421748, 0.31437287349319219275, 0.31437287349319219275; ... 0.31437287349319219275, 0.056881379520423421748, 0.31437287349319219275; ... 0.31437287349319219275, 0.31437287349319219275, 0.056881379520423421748; ... 0.31437287349319219275, 0.31437287349319219275, 0.31437287349319219275; ... 0.69841970432438656092, 0.10052676522520447969, 0.10052676522520447969; ... 0.10052676522520447969, 0.69841970432438656092, 0.10052676522520447969; ... 0.10052676522520447969, 0.10052676522520447969, 0.69841970432438656092; ... 0.10052676522520447969, 0.10052676522520447969, 0.10052676522520447969; ... 0.50000000000000000000, 0.50000000000000000000, 0.00000000000000000000; ... 0.50000000000000000000, 0.00000000000000000000, 0.50000000000000000000; ... 0.50000000000000000000, 0.00000000000000000000, 0.00000000000000000000; ... 0.00000000000000000000, 0.50000000000000000000, 0.50000000000000000000; ... 0.00000000000000000000, 0.50000000000000000000, 0.00000000000000000000; ... 0.00000000000000000000, 0.00000000000000000000, 0.50000000000000000000 ]'; return end