cube_felippa_rule


cube_felippa_rule, a C++ code which generates the points and weights of a Felippa quadrature rule over the interior of a cube in 3D.

Actually, the word "cube" is meant to designate any quadrature region defined by:

        A(1) <= X <= B(1)
        A(2) <= Y <= B(2)
        A(3) <= Z <= B(3)
      

Licensing:

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

Languages:

cube_felippa_rule is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

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cube_felippa_rule_test

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TRIANGLE_FEKETE_RULE, a C++ code which defines Fekete rules for interpolation or quadrature over the interior of a triangle in 2D.

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TRIANGLE_SYMQ_RULE, a C++ code which returns efficient symmetric quadrature rules, with exactness up to total degree 50, over the interior of an arbitrary triangle in 2D, by Hong Xiao and Zydrunas Gimbutas.

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Reference:

  1. Carlos Felippa,
    A compendium of FEM integration formulas for symbolic work,
    Engineering Computation,
    Volume 21, Number 8, 2004, pages 867-890.

Source Code:


Last revised on 22 February 2020.