concepts::Constrained Class Reference

Solves a linear system of equations subject to linear constraints. More...

#include <constrained.hh>

Inheritance diagram for concepts::Constrained:

Public Types
typedef Cmplxtype< Real >::type	c_type
	Real type of data type. More...
typedef Realtype< Real >::type	r_type
	Real type of data type. More...
typedef Real	type
	Type of data, e.g. matrix entries. More...

Public Member Functions
	Constrained (SparseMatrix< Real > &S, SparseMatrix< Real > &C, const Vector< Real > &g, SolverFabric< Real > &fabric)
	Constructor. More...
virtual const uint	dimX () const
	Returns the size of the image space of the operator (number of rows of the corresponding matrix) More...
virtual const uint	dimY () const
	Returns the size of the source space of the operator (number of columns of the corresponding matrix) More...
virtual void	operator() ()
	Application operator without argument. More...
virtual void	operator() (const Function< c_type > &fncY, Function< c_type > &fncX)
	Application operator for complex function fncY. More...
virtual void	operator() (const Function< r_type > &fncY, Function< Real > &fncX)
	Application operator for real function fncY. More...
virtual void	operator() (const Function< Real > &fncY, Function< Real > &fncX)
virtual void	show_messages ()

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const

Protected Attributes
uint	dimX_
	Dimension of image space and the source space. More...
uint	dimY_

Private Attributes
SparseMatrix< Real > &	C_
std::unique_ptr< SparseMatrix< Real > >	CCt_
std::unique_ptr< Operator< Real > >	CCtinv_
SparseMatrix< Real >	Ct_
std::unique_ptr< concepts::Compose< Real > >	CtC_
SolverFabric< Real > &	fabric_
const Vector< Real > &	g_
std::unique_ptr< LiCoI< Real > >	Q_
std::unique_ptr< concepts::Compose< Real > >	Qmin_
std::unique_ptr< concepts::Compose< Real > >	QS_
std::unique_ptr< concepts::Compose< Real > >	QSQ_
std::unique_ptr< concepts::Compose< Real > >	R_
SparseMatrix< Real > &	S_
std::unique_ptr< Operator< Real > >	solver_
std::unique_ptr< LiCo< Real > >	Sp_
Vector< Real >	SRg_

Detailed Description

Solves a linear system of equations subject to linear constraints.

Author

Philipp Frauenfelder, 2004

See also

Ainsworth, Essential boundary conditions and multi-point constraints in finite element analysis, 2000, Comput. Methods Appl Mech. Engrg. 190 (2001) 6323-6339

Namespace constraints

Definition at line 31 of file constrained.hh.

Member Typedef Documentation

c_type

typedef Cmplxtype<Real >::type concepts::Operator< Real >::c_type

inherited

Real type of data type.

Definition at line 49 of file compositions.hh.

r_type

typedef Realtype<Real >::type concepts::Operator< Real >::r_type

inherited

Real type of data type.

Definition at line 47 of file compositions.hh.

type

typedef Real concepts::Operator< Real >::type

inherited

Type of data, e.g. matrix entries.

Definition at line 45 of file compositions.hh.

Constructor & Destructor Documentation

Constrained()

concepts::Constrained::Constrained	(	SparseMatrix< Real > &	S,
		SparseMatrix< Real > &	C,
		const Vector< Real > &	g,
		SolverFabric< Real > &	fabric
	)

Constructor.

Parameters

S	Stiffness matrix
C	Constraints matrix
g	Right hand side of the constraints

Member Function Documentation

dimX()

virtual const uint concepts::Operator< Real >::dimX

inlinevirtualinherited

Returns the size of the image space of the operator (number of rows of the corresponding matrix)

Definition at line 93 of file compositions.hh.

dimY()

virtual const uint concepts::Operator< Real >::dimY

inlinevirtualinherited

Returns the size of the source space of the operator (number of columns of the corresponding matrix)

Definition at line 98 of file compositions.hh.

info()

virtual std::ostream& concepts::Constrained::info ( std::ostream &  os ) const

protectedvirtual

Reimplemented from concepts::Operator< Real >.

operator()() [1/4]

virtual void concepts::Operator< Real >::operator()

virtualinherited

Application operator without argument.

Reimplemented in concepts::VecOperator< Real >.

operator()() [2/4]

virtual void concepts::Operator< Real >::operator() ( const Function< c_type > &  fncY, Function< c_type > &  fncX  )

virtualinherited

Application operator for complex function fncY.

Computes fncX = A(fncY) where A is this operator. fncX becomes complex.

In derived classes its enough to implement the operator() for complex Operator's. If a real counterpart is not implemented, the function fncY is splitted into real and imaginary part and the application operator for real functions is called for each. Then the result is combined.

If in a derived class the operator() for complex Operator's is not implemented, a exception is thrown from here.

Reimplemented in concepts::VecOperator< Real >.

operator()() [3/4]

virtual void concepts::Operator< Real >::operator() ( const Function< r_type > &  fncY, Function< Real > &  fncX  )

virtualinherited

Application operator for real function fncY.

Computes fncX = A(fncY) where A is this operator.

fncX becomes the type of the operator, for real data it becomes real, for complex data it becomes complex.

In derived classes its enough to implement the operator() for real Operator's. If a complex counterpart is not implemented, the function fncY is transformed to a complex function and then the application operator for complex functions is called.

If in a derived class the operator() for real Operator's is not implemented, a exception is thrown from here.

Reimplemented in concepts::VecOperator< Real >.

operator()() [4/4]

virtual void concepts::Constrained::operator() ( const Function< Real > &  fncY, Function< Real > &  fncX  )

virtual

show_messages()

virtual void concepts::Operator< Real >::show_messages

inlinevirtualinherited

Definition at line 100 of file compositions.hh.

Member Data Documentation

C_

SparseMatrix<Real>& concepts::Constrained::C_

private

Definition at line 44 of file constrained.hh.

CCt_

std::unique_ptr<SparseMatrix<Real> > concepts::Constrained::CCt_

private

Definition at line 46 of file constrained.hh.

CCtinv_

std::unique_ptr<Operator<Real> > concepts::Constrained::CCtinv_

private

Definition at line 49 of file constrained.hh.

Ct_

SparseMatrix<Real> concepts::Constrained::Ct_

private

Definition at line 45 of file constrained.hh.

CtC_

std::unique_ptr<concepts::Compose<Real> > concepts::Constrained::CtC_

private

Definition at line 50 of file constrained.hh.

dimX_

uint concepts::Operator< Real >::dimX_

protectedinherited

Dimension of image space and the source space.

Definition at line 104 of file compositions.hh.

dimY_

uint concepts::Operator< Real >::dimY_

protectedinherited

Definition at line 104 of file compositions.hh.

fabric_

SolverFabric<Real>& concepts::Constrained::fabric_

private

Definition at line 53 of file constrained.hh.

g_

const Vector<Real>& concepts::Constrained::g_

private

Definition at line 47 of file constrained.hh.

Q_

std::unique_ptr<LiCoI<Real> > concepts::Constrained::Q_

private

Definition at line 51 of file constrained.hh.

Qmin_

std::unique_ptr<concepts::Compose<Real> > concepts::Constrained::Qmin_

private

Definition at line 50 of file constrained.hh.

QS_

std::unique_ptr<concepts::Compose<Real> > concepts::Constrained::QS_

private

Definition at line 50 of file constrained.hh.

QSQ_

std::unique_ptr<concepts::Compose<Real> > concepts::Constrained::QSQ_

private

Definition at line 50 of file constrained.hh.

R_

std::unique_ptr<concepts::Compose<Real> > concepts::Constrained::R_

private

Definition at line 50 of file constrained.hh.

S_

SparseMatrix<Real> & concepts::Constrained::S_

private

Definition at line 44 of file constrained.hh.

solver_

std::unique_ptr<Operator<Real> > concepts::Constrained::solver_

private

Definition at line 49 of file constrained.hh.

Sp_

std::unique_ptr<LiCo<Real> > concepts::Constrained::Sp_

private

Definition at line 52 of file constrained.hh.

SRg_

Vector<Real> concepts::Constrained::SRg_

private

Definition at line 48 of file constrained.hh.

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

• operator/constrained.hh