QUADRATURE_RULES_WEDGE
Quadrature Rules for a Wedge

QUADRATURE_RULES_WEDGE is a dataset directory which contains definitions of quadrature rules over a wedge.

The integration region is:

        0 <= X
        0 <= Y
        X + Y <= 1
        -1 <= Z <= 1.
      

Licensing:

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

Related Data and Programs:

FELIPPA, a C++ library which defines quadrature rules for lines, triangles, quadrilaterals, pyramids, wedges, tetrahedrons and hexahedrons.

QUADRATURE_RULES_PYRAMID, a dataset directory which contains quadrature rules for a pyramid with a square base.

QUADRATURE_RULES_TET, a dataset directory which contains quadrature rules for tetrahedrons, stored as a file of abscissas, a file of weights, and a file of vertices.

QUADRATURE_RULES_TRI, a dataset directory which contains quadrature rules for triangles, stored as a file of abscissas, a file of weights, and a file of vertices.

Reference:

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

Data Files:

WEDGE_FELIPPA_1x1: triangle rule 1 x line rule 1 due to Felippa.

• wedge_felippa_1x1_w.txt, the weights.
• wedge_felippa_1x1_x.txt, the abscissas.

WEDGE_FELIPPA_3x2: triangle rule 3 x line rule 2 due to Felippa.

• wedge_felippa_3x2_w.txt, the weights.
• wedge_felippa_3x2_x.txt, the abscissas.

WEDGE_FELIPPA_3Bx2: triangle rule 3b x line rule 2 due to Felippa.

• wedge_felippa_3bx2_w.txt, the weights.
• wedge_felippa_3bx2_x.txt, the abscissas.

WEDGE_FELIPPA_6x3: triangle rule 6 x line rule 3 due to Felippa.

• wedge_felippa_6x3_w.txt, the weights.
• wedge_felippa_6x3_x.txt, the abscissas.

WEDGE_FELIPPA_6Bx3: triangle rule 6B x line rule 3 due to Felippa.

• wedge_felippa_6bx3_w.txt, the weights.
• wedge_felippa_6bx3_x.txt, the abscissas.

WEDGE_FELIPPA_7x3: triangle rule 7 x line rule 3 due to Felippa.

• wedge_felippa_7x3_w.txt, the weights.
• wedge_felippa_7x3_x.txt, the abscissas.

WEDGE_FELIPPA_12x4: triangle rule 12 x line rule 4 due to Felippa.

• wedge_felippa_12x4_w.txt, the weights.
• wedge_felippa_12x4_x.txt, the abscissas.

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