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)
```

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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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_MONTE_CARLO, a C++ code which uses the Monte Carlo method to estimate integrals over the interior of a triangle in 2D.

TRIANGLE_NCC_RULE, a C++ code which defines Newton-Cotes Closed (NCC) quadrature rules over the interior of a triangle in 2D.

TRIANGLE_NCO_RULE, a C++ code which defines Newton-Cotes Open (NCO) quadrature rules over the interior of a triangle in 2D.

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.

TRIANGLE_WANDZURA_RULE, a C++ code which defines Wandzura rules for quadrature over the interior of a triangle in 2D.

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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.