hexahedron_jaskowiec_rule

hexahedron_jaskowiec_rule, a C code which returns quadrature rules, with exactness up to total degree 21, over the interior of a hexahedron in 3D, by Jan Jaskowiec, Natarajan Sukumar.

The integration region is:

       0 <= X <= 1
       0 <= Y <= 1
       0 <= Z <= 1.
       

Licensing:

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

Languages:

hexahedron_jaskowiec_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_jaskowiec_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).

Reference:

1. Jan Jaskowiec, Natarajan Sukumar,
   High order cubature rules for tetrahedra and hexahedrons,
   International Journal of Numerical Methods in Engineering,
   Volume 121, Number 11, pages 2418-2436, 15 June 2020.

Source Code:

• hexahedron_jaskowiec_rule.c, the source code.
• hexahedron_jaskowiec_rule.h, the include file.
• hexahedron_jaskowiec_rule.sh, compiles the source code.