triangle_felippa_rule

triangle_felippa_rule, a MATLAB code which returns a Felippa quadrature rule over the interior of a triangle in 2D.

Licensing:

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

Languages:

triangle_felippa_rule is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version.

Related Data and Programs:

triangle_felippa_rule_test

matlab_rule, a MATLAB code which computes a quadrature rule which estimates the integral of a function f(x), which might be defined over a one dimensional region (a line) or more complex shapes such as a circle, a triangle, a quadrilateral, a polygon, or a higher dimensional region, and which might include an associated weight function w(x).

Reference:

1. Carlos Felippa,
   A compendium of FEM integration formulas for symbolic work,
   Engineering Computation,
   Volume 21, Number 8, 2004, pages 867-890.

Source Code:

• comp_next.m, computes the compositions of the integer N into K parts.
• monomial_value.m, evaluates a monomial.
• subcomp_next.m, computes the next subcomposition of N into K parts.
• triangle_unit_monomial_integral.m, returns the exact integral of a monomial in a unit triangle;
• triangle_unit_o01.m, returns a 1 point quadrature rule for the unit triangle.
• triangle_unit_o03.m, returns a 3 point quadrature rule for the unit triangle.
• triangle_unit_o03b.m, returns a 3 point quadrature rule for the unit triangle.
• triangle_unit_o06.m, returns a 6 point quadrature rule for the unit triangle.
• triangle_unit_o06b.m, returns a 6 point quadrature rule for the unit triangle.
• triangle_unit_o07.m, returns a 7 point quadrature rule for the unit triangle.
• triangle_unit_o12.m, returns a 12 point quadrature rule for the unit triangle.
• triangle_unit_volume.m, returns the volume of the unit triangle;