tetrahedron_felippa_rule


tetrahedron_felippa_rule, a C code which generates a Felippa quadrature rule over the interior of a tetrahedron in 3D.

Licensing:

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

Languages:

tetrahedron_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:

tetrahedron_felippa_rule_test

c_rule, a C 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).

tetrahedron_exactness, a C code which investigates the monomial exactness of a quadrature rule over the interior of a tetrahedron in 3D.

tetrahedron_integrals, a C code which returns the exact value of the integral of any monomial over the interior of the unit tetrahedron in 3d.

tetrahedron_monte_carlo, a C code which uses the Monte Carlo method to estimate integrals over the interior of a tetrahedron in 3D.

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:


Last revised on 16 August 2019.