Base class for quadrature rules on simplices in arbitrary dimensions. More...

#include <quadrature.hh>

Inheritance diagram for Quadrature:

Collaboration diagram for Quadrature:

Public Member Functions
	Quadrature (const Quadrature &q)
	Copy constructor. More...

	Quadrature (unsigned int dimension, unsigned int n_quadrature_points=0)
	Constructor. More...

virtual	~Quadrature ()
	Constructor from quadrature of lower dimension (e.g. for side integration). More...

unsigned int	dim () const

void	resize (unsigned int n_q_points)
	Modify the number of quadrature points. More...

unsigned int	size () const
	Returns number of quadrature points. More...

template<unsigned int point_dim>
Armor::ArmaVec< double, point_dim >	point (unsigned int i) const
	Returns the `i`th quadrature point. More...

Armor::Array< double >::ArrayMatSet	set (uint i)

const Armor::Array< double > &	get_points () const
	Return a reference to the whole array of quadrature points. More...

double	weight (unsigned int i) const
	Returns the `i`th weight. More...

double &	weight (unsigned int i)
	Returns the `i`th weight (non-const version). More...

const std::vector< double > &	get_weights () const
	Return a reference to the whole array of weights. More...

Quadrature &	operator= (const Quadrature &q)

template<unsigned int bulk_dim>
Quadrature	make_from_side (unsigned int sid, unsigned int pid) const

template<>
Quadrature	make_from_side (unsigned int sid, unsigned int) const

Protected Attributes
const unsigned int	dim_
	Dimension of quadrature points. More...

Armor::Array< double >	quadrature_points
	List of quadrature points. More...

std::vector< double >	weights
	List of weights to the quadrature points. More...

Detailed Description

Base class for quadrature rules on simplices in arbitrary dimensions.

This class stores quadrature points and weights on the reference line, triangle or tetrahedron, respectively. Quadrature rules are used for evaluation of integrals over elements. In particular, for a reference element $E$ we have:

$\int_E f(x)\,dx \approx \sum_{i=1}^{N} w_i f(p_i),$

where $\{w_i\}$ , $\{p_i\}$ are the quadrature weights and the quadrature points, respectively.

TODO:

remove set_weight, set point; quadrature should be set by its descendants
introduce Quadrature point which should store point coords together with the weight in raw double[1+dim] array and just return arma object on the flys

Definition at line 48 of file quadrature.hh.

Constructor & Destructor Documentation

Quadrature::Quadrature ( const Quadrature & q )

Copy constructor.

Definition at line 39 of file quadrature.cc.

Quadrature::Quadrature	(	unsigned int	dimension,
		unsigned int	n_quadrature_points = `0`
	)

Constructor.

Parameters

n_quadrature_points Number of quadrature points to be allocated.

Definition at line 32 of file quadrature.cc.

virtual Quadrature::~Quadrature ( )

inlinevirtual

Constructor from quadrature of lower dimension (e.g. for side integration).

Parameters

sub_quadrature	lower dimensional (dim-1) quadrature
sid	local index of side
pid	index of permutation of nodes on given sideVirtual destructor.

Definition at line 69 of file quadrature.hh.

Member Function Documentation

unsigned int Quadrature::dim ( ) const

inline

Definition at line 73 of file quadrature.hh.

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const Armor::Array<double>& Quadrature::get_points ( ) const

inline

Return a reference to the whole array of quadrature points.

Definition at line 104 of file quadrature.hh.

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const std::vector<double>& Quadrature::get_weights ( ) const

inline

Return a reference to the whole array of weights.

Definition at line 116 of file quadrature.hh.

template<>

Quadrature Quadrature::make_from_side	(	unsigned int	sid,
		unsigned int
	)		const

Definition at line 80 of file quadrature.cc.

template<unsigned int bulk_dim>

Quadrature Quadrature::make_from_side	(	unsigned int	sid,
		unsigned int	pid
	)		const

Create bulk quadrature from side quadrature.

Consider *this as quadrature on a side of an element and create higher dimensional quadrature considering side and permutation index.

Definition at line 47 of file quadrature.cc.

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Quadrature & Quadrature::operator= ( const Quadrature & q )

Definition at line 23 of file quadrature.cc.

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template<unsigned int point_dim>

Armor::ArmaVec<double, point_dim> Quadrature::point ( unsigned int i ) const

inline

Returns the ith quadrature point.

Definition at line 92 of file quadrature.hh.

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void Quadrature::resize ( unsigned int n_q_points )

inline

Modify the number of quadrature points.

Parameters

n_q_points New number of quadrature points.

Definition at line 80 of file quadrature.hh.

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Armor::Array<double>::ArrayMatSet Quadrature::set ( uint i )

inline

Definition at line 98 of file quadrature.hh.

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unsigned int Quadrature::size ( ) const

inline

Returns number of quadrature points.

Definition at line 87 of file quadrature.hh.

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double Quadrature::weight ( unsigned int i ) const

inline

Returns the ith weight.

Definition at line 108 of file quadrature.hh.

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double& Quadrature::weight ( unsigned int i )

inline

Returns the ith weight (non-const version).

Definition at line 112 of file quadrature.hh.

Member Data Documentation

const unsigned int Quadrature::dim_

protected

Dimension of quadrature points.

Definition at line 134 of file quadrature.hh.

Armor::Array<double> Quadrature::quadrature_points

protected

List of quadrature points.

To be filled by the constructors of the derived classes.

Definition at line 141 of file quadrature.hh.

std::vector<double> Quadrature::weights

protected

List of weights to the quadrature points.

To be filled by the constructors of the derived classes.

Definition at line 148 of file quadrature.hh.

The documentation for this class was generated from the following files:

/opt/flow123d/flow123d/src/quadrature/quadrature.hh
/opt/flow123d/flow123d/src/quadrature/quadrature.cc

Public Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation