Stokhos::SparseGridQuadrature< ordinal_type, value_type > Class Template Reference

Defines quadrature for a tensor product basis by Smolyak sparse grids. More...

#include <Stokhos_SparseGridQuadrature.hpp>

Inheritance diagram for Stokhos::SparseGridQuadrature< ordinal_type, value_type >:

Collaboration diagram for Stokhos::SparseGridQuadrature< ordinal_type, value_type >:

Public Member Functions
	SparseGridQuadrature (const Teuchos::RCP< const ProductBasis< ordinal_type, value_type > > &product_basis, ordinal_type sparse_grid_level=0, value_type duplicate_tol=1.0e-12, ordinal_type growth_rate=Pecos::SLOW_RESTRICTED_GROWTH)
	Constructor. More...
virtual	~SparseGridQuadrature ()
	Destructor.
virtual ordinal_type	size () const
	Get number of quadrature points.
virtual const Teuchos::Array < Teuchos::Array< value_type > > &	getQuadPoints () const
	Get quadrature points. More...
virtual const Teuchos::Array < value_type > &	getQuadWeights () const
	Get quadrature weights. More...
virtual const Teuchos::Array < Teuchos::Array< value_type > > &	getBasisAtQuadPoints () const
	Get values of basis at quadrature points. More...
virtual std::ostream &	print (std::ostream &os) const
	Print quadrature data.
Public Member Functions inherited from Stokhos::Quadrature< ordinal_type, value_type >
	Quadrature ()
	Constructor.
virtual	~Quadrature ()
	Destructor.

Protected Member Functions
template<>
Stokhos::SparseGridQuadrature < int, double > *	sgq (NULL)

Protected Attributes
Teuchos::Array< Teuchos::RCP < const OneDOrthogPolyBasis < ordinal_type, value_type > > >	coordinate_bases
	Coordinate bases.
Teuchos::Array< Teuchos::Array < value_type > >	quad_points
	Quadrature points.
Teuchos::Array< value_type >	quad_weights
	Quadrature weights.
Teuchos::Array< Teuchos::Array < value_type > >	quad_values
	Quadrature values.

Static Protected Attributes
static SparseGridQuadrature *	sgq
	Static pointer for VPISparseGrid interface.

Detailed Description

template<typename ordinal_type, typename value_type>
class Stokhos::SparseGridQuadrature< ordinal_type, value_type >

Defines quadrature for a tensor product basis by Smolyak sparse grids.

Requires Dakota webbur quadrature package, which is currently provided through TriKota. To enable, configure Stokhos with TriKota enabled and see the TriKota instructions for building TriKota with Dakota.

Constructor & Destructor Documentation

template<typename ordinal_type , typename value_type >

Stokhos::SparseGridQuadrature< ordinal_type, value_type >::SparseGridQuadrature	(	const Teuchos::RCP< const ProductBasis< ordinal_type, value_type > > &	product_basis,
		ordinal_type	sparse_grid_level = 0,
		value_type	duplicate_tol = 1.0e-12,
		ordinal_type	growth_rate = Pecos::SLOW_RESTRICTED_GROWTH
	)

Constructor.

Parameters

product_basis	product basis
sparse_grid_level	sparse grid level defining the order of the quadrature. If equal to 0, the level is calculated using a heuristic formula.

References Stokhos::SparseGridQuadrature< ordinal_type, value_type >::coordinate_bases, Stokhos::SparseGridQuadrature< ordinal_type, value_type >::quad_points, Stokhos::SparseGridQuadrature< ordinal_type, value_type >::quad_values, Stokhos::SparseGridQuadrature< ordinal_type, value_type >::quad_weights, and Stokhos::SparseGridQuadrature< ordinal_type, value_type >::sgq.

Member Function Documentation

template<typename ordinal_type , typename value_type >

const Teuchos::Array< Teuchos::Array< value_type > > & Stokhos::SparseGridQuadrature< ordinal_type, value_type >::getBasisAtQuadPoints ( ) const

virtual

Get values of basis at quadrature points.

Array is dimensioned Q-by-P where Q is the number of quadrature points and P is the size of the basis.

Implements Stokhos::Quadrature< ordinal_type, value_type >.

template<typename ordinal_type , typename value_type >

const Teuchos::Array< Teuchos::Array< value_type > > & Stokhos::SparseGridQuadrature< ordinal_type, value_type >::getQuadPoints ( ) const

virtual

Get quadrature points.

Array is dimensioned Q-by-d where Q is the number of quadrature points and d is the dimension of the basis.

Implements Stokhos::Quadrature< ordinal_type, value_type >.

template<typename ordinal_type , typename value_type >

const Teuchos::Array< value_type > & Stokhos::SparseGridQuadrature< ordinal_type, value_type >::getQuadWeights ( ) const

virtual

Get quadrature weights.

Array is of size Q where Q is the number of quadrature points.

Implements Stokhos::Quadrature< ordinal_type, value_type >.

---

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

• Stokhos_SparseGridQuadrature.hpp
• Stokhos_SparseGridQuadratureImp.hpp