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 12321241, 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.

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.
Last revised on 25 April 2023.