triangle_symq_rule_test

triangle_symq_rule_test, a Fortran77 code which calls triangle_symq_rule(), which returns symmetric quadrature rules, with exactness up to total degree 50, over the interior of an arbitrary triangle in 2D, by Hong Xiao and Zydrunas Gimbutas.

Licensing:

The information on this web page is distributed under the MIT license.

Related Data and Programs:

triangle_symq_rule, a Fortran77 code which returns symmetric quadrature rules, with exactness up to total degree 50, over the interior of an arbitrary triangle in 2D, by Hong Xiao and Zydrunas Gimbutas.

Source Code:

• triangle_symq_rule_test.f, calls all the tests.
• triangle_symq_rule_test.sh, runs all the tests.
• triangle_symq_rule_test.txt, the output file.

EQUI08 is a degree 8 rule in an equilateral triangle.

• equi08.txt, the node coordinates and weights.
• equi08_commands.txt, gnuplot commands to create a plot.
• equi08_nodes.txt, the node coordinates.
• equi08_vertices.txt, the triangle vertices.
• equi08.png, the PNG image of the point locations.

SIMP08 is a degree 8 rule in a simplex.

• simp08.txt, the node coordinates and weights.
• simp08_commands.txt, gnuplot commands to create a plot.
• simp08_nodes.txt, the node coordinates.
• simp08_vertices.txt, the triangle vertices.
• simp08.png, the PNG image of the point locations.

USER08 is a degree 8 rule in a user specified triangle at (1,0), (4,4), (0,3).

• user08.txt, the node coordinates and weights.
• user08_commands.txt, gnuplot commands to create a plot.
• user08_nodes.txt, the node coordinates.
• user08_vertices.txt, the triangle vertices.
• simp08.png, the PNG image of the point locations.