quadrilateral_witherden_rule
quadrilateral_witherden_rule,
a MATLAB code which
returns a Witherden quadrature rule, with exactness up to total degree 21,
over the interior of a quadrilateral.
The unit quadrilateral has vertices (0,0), (1,0), (1,1), (0,1).
Licensing:
The computer code and data files made available on this
web page are distributed under
the MIT license
Languages:
quadrilateral_witherden_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:
quadrilateral_witherden_rule_test
Reference:
-
Freddie Witherden, Peter Vincent,
On the identification of symmetric quadrature rules for finite element methods,
Computers and Mathematics with Applications,
Volume 69, pages 1232-1241, 2015.
Source Code:
-
quadrilateral_unit_area.m,
computes the area of a unit quadrilateral.
-
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.
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rule07.m,
returns the rule of degree 7.
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rule09.m,
returns the rule of degree 9.
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rule11.m,
returns the rule of degree 11.
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rule13.m,
returns the rule of degree 13.
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rule15.m,
returns the rule of degree 15.
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rule17.m,
returns the rule of degree 17.
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rule19.m,
returns the rule of degree 19.
Last revised on 25 April 2023.