pyramid_jaskowiec_rule


pyramid_jaskowiec_rule, a Python code which returns quadrature rules, with exactness up to total degree 20, over the interior of a pyramid in 3D, by Jan Jaskowiec, Natarajan Sukumar.

The integration region is:

       - ( 1 - Z ) <= X <= 1 - Z
       - ( 1 - Z ) <= Y <= 1 - Z
                 0 <= Z <= 1.
       
When Z is zero, the integration region is a square lying in the (X,Y) plane, centered at (0,0,0) with "radius" 1. As Z increases to 1, the radius of the square diminishes, and when Z reaches 1, the square has contracted to the single point (0,0,1).

Licensing:

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

Languages:

pyramid_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.

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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.

Source Code:


Last revised on 16 April 2023.