ElementQuad4.h File Reference

Quadrature for 4-noded quadrilateral element in 2d (GooseFEM::Mesh::ElementType::Quad4), in a Cartesian coordinate system. More...

#include "Element.h"
#include "config.h"
#include "detail.h"

Go to the source code of this file.

Classes
class	GooseFEM::Element::Quad4::Quadrature
	Interpolation and quadrature. More...

Namespaces
namespace	GooseFEM
	Toolbox to perform finite element computations.
namespace	GooseFEM::Element
	Element quadrature and interpolation.
namespace	GooseFEM::Element::Quad4
	4-noded quadrilateral element in 2d (GooseFEM::Mesh::ElementType::Quad4).
namespace	GooseFEM::Element::Quad4::Gauss
	Gauss quadrature: quadrature points such that integration is exact for this bi-linear element:
namespace	GooseFEM::Element::Quad4::Nodal
	nodal quadrature: quadrature points coincide with the nodes.
namespace	GooseFEM::Element::Quad4::MidPoint
	midpoint quadrature: quadrature points in the middle of the element::

Functions
size_t	GooseFEM::Element::Quad4::Gauss::nip ()
	Number of integration points:
array_type::tensor< double, 2 >	GooseFEM::Element::Quad4::Gauss::xi ()
	Integration point coordinates (local coordinates).
array_type::tensor< double, 1 >	GooseFEM::Element::Quad4::Gauss::w ()
	Integration point weights.
size_t	GooseFEM::Element::Quad4::Nodal::nip ()
	Number of integration points::
array_type::tensor< double, 2 >	GooseFEM::Element::Quad4::Nodal::xi ()
	Integration point coordinates (local coordinates).
array_type::tensor< double, 1 >	GooseFEM::Element::Quad4::Nodal::w ()
	Integration point weights.
size_t	GooseFEM::Element::Quad4::MidPoint::nip ()
	Number of integration points::
array_type::tensor< double, 2 >	GooseFEM::Element::Quad4::MidPoint::xi ()
	Integration point coordinates (local coordinates).
array_type::tensor< double, 1 >	GooseFEM::Element::Quad4::MidPoint::w ()
	Integration point weights.

Detailed Description

Quadrature for 4-noded quadrilateral element in 2d (GooseFEM::Mesh::ElementType::Quad4), in a Cartesian coordinate system.

Copyright

Copyright 2017. Tom de Geus. All rights reserved.

License: This project is released under the GNU Public License (GPLv3).

Definition in file ElementQuad4.h.