hexahedron_jaskowiec_rule
hexahedron_jaskowiec_rule,
an Octave code which
returns quadrature rules, with exactness up to total degree 21,
over the interior of a hexahedron in 3D,
by Jan Jaskowiec, Natarajan Sukumar.
The integration region is:
0 <= X <= 1
0 <= Y <= 1
0 <= Z <= 1.
Licensing:
The computer code and data files made available on this
web page are distributed under
the MIT license
Languages:
hexahedron_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:
hexahedron_jaskowiec_rule_test
hexahedron_witherden_rule,
an Octave code which
returns a symmetric Witherden quadrature rule for the hexahedron,
with exactness up to total degree 11.
Reference:
-
Jan Jaskowiec, Natarajan Sukumar,
High order cubature rules for tetrahedra and hexahedrons,
International Journal of Numerical Methods in Engineering,
Volume 121, Number 11, pages 2418-2436, 15 June 2020.
Source Code:
-
comp_next.m,
returns the next composition of an integer.
-
hexahedron_jaskowiec_rule.m,
returns a quadrature rule of given precision for the unit
hexahedron.
-
hexahedron_unit_monomial_integral.m,
returns the exact integral of a given monomial over the unit hexahedron.
-
hexahedron_unit_volume.m,
computes the volume of a unit hexahedron.
-
monomial_value.m,
evaluates a multidimensional monomial.
-
rule_order.m,
returns the number of quadrature points used in a rule
of given degree.
-
rule01.m,
returns the rule of degree 1.
-
rule03.m,
returns the rule of degree 3.
-
rule05.m,
returns the rule of degree 5.
-
rule07.m,
returns the rule of degree 7.
-
rule09.m,
returns the rule of degree 9.
-
rule11.m,
returns the rule of degree 11.
-
rule13.m,
returns the rule of degree 13.
-
rule15.m,
returns the rule of degree 15.
-
rule17.m,
returns the rule of degree 17.
-
rule19.m,
returns the rule of degree 19.
-
rule21.m,
returns the rule of degree 21.
Last revised on 18 May 2023.