pyramid_felippa_rule


pyramid_felippa_rule, a Python code which returns a Felippa quadrature rule over the interior of the unit pyramid in 3D.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

pyramid_felippa_rule is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave versionand a Python version.

Related Data and Programs:

pyramid_exactness, a Python code which investigates the monomial exactness of a quadrature rule over the interior of the unit pyramid in 3d.

pyramid_grid, a Python code which computes a grid of points over the interior of the unit pyramid in 3d;

pyramid_integrals, a Python code which returns the exact value of the integral of any monomial over the interior of the unit pyramid in 3d.

pyramid_jaskowiec_rule, a Python code which returns quadrature rules, with exactness up to total degree 20, over the interior of a pyramid in 3D, by Jan Jaskowiec, Natarajan Sukumar.

pyramid_monte_carlo, a Python code which applies a Monte Carlo method to estimate integrals of a function over the interior of the unit pyramid in 3d;

pyramid_rule, a Python code which computes a conical product quadrature rule over the interior of a unit pyramid in 3d.

pyramid_witherden_rule, a Python code which returns a Witherden quadrature rule, with exactness up to total degree 10, over the interior of a pyramid 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 May 2023.