hexahedron_witherden_rule


hexahedron_witherden_rule, a C++ code which returns a Witherden quadrature rule, with exactness up to total degree 11, over the interior of a hexahedron.

The unit hexahedron has vertices (0,0,0), (1,0,0), (1,1,0), (0,1,0), (0,0,1), (1,0,1), (1,1,1), (0,1,1).

Licensing:

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

Languages:

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

Related Data and Programs:

hexahedron_witherden_rule_test

cpp_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).

Reference:

  1. Freddie Witherden, Peter Vincent,
    On the identification of symmetric quadrature rules for finite element methods,
    Computers and Mathematics with Applications,
    Volume 69, pages 1232-1241, 2015.

Source Code:


Last revised on 02 May 2023.