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 computer code and data files made available on this web page are 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

hexahedron_witherden_rule, a C code which returns a symmetric Witherden quadrature rule for the hexahedron, with exactness up to total degree 11.

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.