HArDCore2D::QuadRot Struct Reference

#include <ddr-quadrot.hpp>

Public Types
typedef Eigen::SparseMatrix< double >	SystemMatrixType
typedef std::function< VectorRd(const VectorRd &)>	PotentialType
typedef std::function< double(const VectorRd &)>	RotorType
typedef std::function< VectorRd(const VectorRd &)>	RotRotType
typedef std::function< double(const VectorRd &)>	LagrangeMultiplierType
typedef std::function< VectorRd(const VectorRd &)>	ForcingTermType

Public Member Functions
	QuadRot (const DDRCore &ddrcore, const BoundaryConditions &bc_u, const BoundaryConditions &bc_p, bool use_threads=true, std::ostream &output=std::cout)
	Constructor.
const XGrad &	xGrad () const
	Returns the space XGrad.
const XRotRot &	xRotRot () const
	Returns the space XRotRot.
const XRot &	xRot () const
	Returns the space XGrad.
const double &	stabilizationParameter () const
	Returns the stabilization parameter.
double &	stabilizationParameter ()
	Returns the stabilization parameter.
const SystemMatrixType &	systemMatrix () const
	Returns the linear system matrix.
SystemMatrixType &	systemMatrix ()
	Returns the linear system matrix.
const Eigen::VectorXd &	systemVector () const
	Returns the linear system right-hand side vector.
Eigen::VectorXd &	systemVector ()
	Returns the linear system right-hand side vector.
std::vector< size_t >	globalDOFIndices (const Cell &T) const
	Create the vector of DOF indices for the cell T, which combines the DOFs for the spaces XRotRot and XGrad.
size_t	dimensionLocalSpace (size_t iT) const
	Returns the dimension of the local potential + Lagrange multiplier space on the element of index iT.
size_t	dimensionSpace () const
	Returns the dimension of the potential + Lagrange multiplier space.
size_t	numBoundaryDofs () const
	Returns the number of boundary DOFs.
size_t	dimensionLinearSystem () const
	Returns the dimension of the linear system.
int	dofToUnknown (size_t i) const
	DOF-to-unknown mapping.
Eigen::VectorXd	assembleLinearSystem (const ForcingTermType &f, const PotentialType &u, const RotorType &rot_u, const LagrangeMultiplierType &p)

Member Typedef Documentation

ForcingTermType

typedef std::function<VectorRd(const VectorRd &)> HArDCore2D::QuadRot::ForcingTermType

LagrangeMultiplierType

typedef std::function<double(const VectorRd &)> HArDCore2D::QuadRot::LagrangeMultiplierType

PotentialType

typedef std::function<VectorRd(const VectorRd &)> HArDCore2D::QuadRot::PotentialType

RotorType

typedef std::function<double(const VectorRd &)> HArDCore2D::QuadRot::RotorType

RotRotType

typedef std::function<VectorRd(const VectorRd &)> HArDCore2D::QuadRot::RotRotType

SystemMatrixType

typedef Eigen::SparseMatrix<double> HArDCore2D::QuadRot::SystemMatrixType

Constructor & Destructor Documentation

QuadRot()

QuadRot::QuadRot	(	const DDRCore &	ddrcore,
		const BoundaryConditions &	bc_u,
		const BoundaryConditions &	bc_p,
		bool	use_threads = true,
		std::ostream &	output = std::cout
	)

Constructor.

Parameters

ddrcore	Core for the DDR spaces sequence
bc_u	Boundary condition for the potential
bc_p	Boundary condition for the Lagrange multiplier
use_threads	True for parallel execution, false for sequential execution
output	Output stream to print status messages

Member Function Documentation

assembleLinearSystem()

Eigen::VectorXd QuadRot::assembleLinearSystem	(	const ForcingTermType &	f,
		const PotentialType &	u,
		const RotorType &	rot_u,
		const LagrangeMultiplierType &	p
	)

Assemble linear system and returns a lifting of the boundary condition (which coincides with the interpolate of the exact solution when the latter is passed as an argument)

Parameters

f	Forcing term
u	Solution
rot_u	Rotor of the exact solution
p	Lagrange multiplier

dimensionLinearSystem()

size_t HArDCore2D::QuadRot::dimensionLinearSystem ( ) const

inline

Returns the dimension of the linear system.

dimensionLocalSpace()

size_t HArDCore2D::QuadRot::dimensionLocalSpace ( size_t  iT ) const

inline

Returns the dimension of the local potential + Lagrange multiplier space on the element of index iT.

dimensionSpace()

size_t HArDCore2D::QuadRot::dimensionSpace ( ) const

inline

Returns the dimension of the potential + Lagrange multiplier space.

dofToUnknown()

int HArDCore2D::QuadRot::dofToUnknown ( size_t  i ) const

inline

DOF-to-unknown mapping.

globalDOFIndices()

std::vector< size_t > QuadRot::globalDOFIndices

(

const Cell &

T

)

const

Create the vector of DOF indices for the cell T, which combines the DOFs for the spaces XRotRot and XGrad.

numBoundaryDofs()

size_t HArDCore2D::QuadRot::numBoundaryDofs ( ) const

inline

Returns the number of boundary DOFs.

stabilizationParameter() [1/2]

double & HArDCore2D::QuadRot::stabilizationParameter ( )

inline

Returns the stabilization parameter.

stabilizationParameter() [2/2]

const double & HArDCore2D::QuadRot::stabilizationParameter ( ) const

inline

Returns the stabilization parameter.

systemMatrix() [1/2]

SystemMatrixType & HArDCore2D::QuadRot::systemMatrix ( )

inline

Returns the linear system matrix.

systemMatrix() [2/2]

const SystemMatrixType & HArDCore2D::QuadRot::systemMatrix ( ) const

inline

Returns the linear system matrix.

systemVector() [1/2]

Eigen::VectorXd & HArDCore2D::QuadRot::systemVector ( )

inline

Returns the linear system right-hand side vector.

systemVector() [2/2]

const Eigen::VectorXd & HArDCore2D::QuadRot::systemVector ( ) const

inline

Returns the linear system right-hand side vector.

xGrad()

const XGrad & HArDCore2D::QuadRot::xGrad ( ) const

inline

Returns the space XGrad.

xRot()

const XRot & HArDCore2D::QuadRot::xRot ( ) const

inline

Returns the space XGrad.

xRotRot()

const XRotRot & HArDCore2D::QuadRot::xRotRot ( ) const

inline

Returns the space XRotRot.

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

• Schemes/DDR-quadrot/ddr-quadrot.hpp
• Schemes/DDR-quadrot/ddr-quadrot.cpp