StokesIntegrators::PolynomialResidual< dim > Class Template Reference

#include <polynomial.h>

Inheritance diagram for StokesIntegrators::PolynomialResidual< dim >:

Collaboration diagram for StokesIntegrators::PolynomialResidual< dim >:

Public Member Functions
	PolynomialResidual (const Polynomials::Polynomial< double > curl_potential_1d, const Polynomials::Polynomial< double > grad_potential_1d)
virtual void	cell (DoFInfo< dim > &dinfo, IntegrationInfo< dim > &info) const
virtual void	boundary (DoFInfo< dim > &dinfo, IntegrationInfo< dim > &info) const
virtual void	face (DoFInfo< dim > &dinfo1, DoFInfo< dim > &dinfo2, IntegrationInfo< dim > &info1, IntegrationInfo< dim > &info2) const
Public Member Functions inherited from AmandusIntegrator< dim >
	AmandusIntegrator ()
virtual void	extract_data (const dealii::AnyData &data)
	Extract data independent of the cell. More...
unsigned int	n_errors () const
unsigned int	error_type (unsigned int i) const
std::string	error_name (unsigned int i) const
dealii::UpdateFlags	update_flags () const
	Returns the update flags to be used. More...
dealii::UpdateFlags	update_flags_face () const
	Returns the update flags to be used on boundary and interior faces. More...
void	add_flags (const dealii::UpdateFlags flags)
	Add update flags on all objects. More...
void	add_flags_face (const dealii::UpdateFlags flags)
	Add update flags on boundary and internal faces. More...

Private Attributes
Polynomials::Polynomial< double >	curl_potential_1d
Polynomials::Polynomial< double >	grad_potential_1d

Additional Inherited Members
Public Attributes inherited from AmandusIntegrator< dim >
double	timestep
	Current timestep if applicable. More...
dealii::SmartPointer< dealii::Quadrature< dim > >	cell_quadrature
	Quadrature rule used on cells. More...
dealii::SmartPointer< dealii::Quadrature< dim-1 > >	boundary_quadrature
	Quadrature rule used on boundary faces. More...
dealii::SmartPointer< dealii::Quadrature< dim-1 > >	face_quadrature
	Quadrature rule used on faces. More...
Protected Attributes inherited from AmandusIntegrator< dim >
std::vector< unsigned int >	error_types
std::vector< std::string >	error_names

Detailed Description

template<int dim>
class StokesIntegrators::PolynomialResidual< dim >

Integrate the residual for a Stokes problem, where the solution is the curl of the symmetric tensor product of a given polynomial, plus the gradient of another. The solution is described in the documentation of PolynomialError.

The integration functions of this class compute the difference of the corresponding function in PolynomialRHS and the weak Stokes operator applied to the current solution in "Newton iterate". Thus, their Frechet derivative is in the integration functions of Matrix.

Note

No reasonable iplementation for three dimensions is provided.

Author

Guido Kanschat

Date

2014

Constructor & Destructor Documentation

template<int dim>

StokesIntegrators::PolynomialResidual< dim >::PolynomialResidual	(	const Polynomials::Polynomial< double >	curl_potential_1d,
		const Polynomials::Polynomial< double >	grad_potential_1d
	)

Member Function Documentation

template<int dim>

void StokesIntegrators::PolynomialResidual< dim >::boundary ( DoFInfo< dim > &  dinfo, IntegrationInfo< dim > &  info  ) const

virtual

template<int dim>

void StokesIntegrators::PolynomialResidual< dim >::cell ( DoFInfo< dim > &  dinfo, IntegrationInfo< dim > &  info  ) const

virtual

Here is the call graph for this function:

template<int dim>

void StokesIntegrators::PolynomialResidual< dim >::face ( DoFInfo< dim > &  dinfo1, DoFInfo< dim > &  dinfo2, IntegrationInfo< dim > &  info1, IntegrationInfo< dim > &  info2  ) const

virtual

Member Data Documentation

template<int dim>

Polynomials::Polynomial<double> StokesIntegrators::PolynomialResidual< dim >::curl_potential_1d

private

template<int dim>

Polynomials::Polynomial<double> StokesIntegrators::PolynomialResidual< dim >::grad_potential_1d

private

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

• stokes/polynomial.h