prism_jaskowiec_rule

prism_jaskowiec_rule, a C code which returns symmetric quadrature rules, with exactness up to total degree 20, over the interior of a prism with triangular base, by Jan Jaskowiec, Natarajan Sukumar.

Licensing:

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

Languages:

prism_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:

prism_jaskowiec_rule_test

prism_witherden_rule, a C code which returns a symmetric Witherden quadrature rule for a prism with triangular base, with exactness up to total degree 10.

Reference:

1. Jan Jaskowiec, Natarajan Sukumar,
   High order cubature rules for tetrahedra and pyramids,
   International Journal of Numerical Methods in Engineering,
   Volume 121, Number 11, pages 2418-2436, 15 June 2020.
2. Jan Jaskowiec, Natarajan Sukumar,
   High order symmetric cubature rules for tetrahedra and pyramids,
   International Journal of Numerical Methods in Engineering,
   Volume 122, Number 1, pages 148-171, 24 August 2020.

Source Code:

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

• prism_jaskowiec_rule_to_c.m, a MATLAB script which reads a data file describing one of the rules (with 128 digits) and writes a C function to return points and weights.