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

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:

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

• hexahedron_witherden_rule_to_c.m, a MATLAB script which reads a data file describing one of the rules and writes a C function to return points and weights.