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

#include <constrained.hh>

Inheritance diagram for concepts::Constrained:

Collaboration diagram for concepts::Constrained:

Public Types
typedef Cmplxtype< Real >::type	c_type
	Real type of data type.
typedef Realtype< Real >::type	r_type
	Real type of data type.
typedef Real	type
	Type of data, e.g. matrix entries.
Public Member Functions
	Constrained (SparseMatrix< Real > &S, SparseMatrix< Real > &C, const Vector< Real > &g, SolverFabric< Real > &fabric)
	Constructor.
virtual const uint	dimX () const
	Returns the size of the image space of the operator (number of rows of the corresponding matrix)
virtual const uint	dimY () const
	Returns the size of the source space of the operator (number of columns of the corresponding matrix)
virtual void	operator() (const Function< c_type > &fncY, Function< c_type > &fncX)
	Application operator for complex function `fncY`.
virtual void	operator() (const Function< Real > &fncY, Function< Real > &fncX)
virtual void	operator() (const Function< r_type > &fncY, Function< Real > &fncX)
	Application operator for real function `fncY`.
Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
Protected Attributes
uint	dimX_
	Dimension of image space and the source space.
uint	dimY_
Private Attributes
SparseMatrix< Real > &	C_
std::auto_ptr< SparseMatrix < Real > >	CCt_
std::auto_ptr< Operator< Real > >	CCtinv_
SparseMatrix< Real >	Ct_
std::auto_ptr < concepts::Compose< Real > >	CtC_
SolverFabric< Real > &	fabric_
const Vector< Real > &	g_
std::auto_ptr< LiCoI< Real > >	Q_
std::auto_ptr < concepts::Compose< Real > >	Qmin_
std::auto_ptr < concepts::Compose< Real > >	QS_
std::auto_ptr < concepts::Compose< Real > >	QSQ_
std::auto_ptr < concepts::Compose< Real > >	R_
SparseMatrix< Real > &	S_
std::auto_ptr< Operator< Real > >	solver_
std::auto_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 27 of file constrained.hh.

Member Typedef Documentation

typedef Cmplxtype<Real >::type concepts::Operator< Real >::c_type [inherited]

Real type of data type.

Reimplemented in concepts::VecOperator< Real >, concepts::DenseMatrix< Real >, concepts::DiagonalMatrix< Real >, concepts::Matrix< Real >, concepts::Permutation< Real >, and concepts::SparseMatrix< Real >.

Definition at line 47 of file compositions.hh.

typedef Realtype<Real >::type concepts::Operator< Real >::r_type [inherited]

Real type of data type.

Reimplemented in concepts::VecOperator< Real >, concepts::DenseMatrix< Real >, concepts::DiagonalMatrix< Real >, concepts::Matrix< Real >, concepts::Permutation< Real >, and concepts::SparseMatrix< Real >.

Definition at line 45 of file compositions.hh.

typedef Real concepts::Operator< Real >::type [inherited]

Type of data, e.g. matrix entries.

Definition at line 43 of file compositions.hh.

Constructor & Destructor Documentation

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

virtual const uint concepts::Operator< Real >::dimX ( ) const [inline, virtual, inherited]

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

Examples:: hpFEM2d-simple.cc, and hpFEM2d.cc.

Definition at line 87 of file compositions.hh.

virtual const uint concepts::Operator< Real >::dimY ( ) const [inline, virtual, inherited]

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

Definition at line 92 of file compositions.hh.

virtual std::ostream& concepts::Constrained::info ( std::ostream & os ) const [protected, virtual]

Returns information in an output stream.

Reimplemented from concepts::Operator< Real >.

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

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 >, concepts::DenseMatrix< Real >, concepts::DiagonalMatrix< Real >, concepts::Matrix< Real >, concepts::Permutation< Real >, and concepts::SparseMatrix< Real >.

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

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 >, concepts::DenseMatrix< Real >, concepts::DiagonalMatrix< Real >, concepts::Matrix< Real >, concepts::Permutation< Real >, and concepts::SparseMatrix< Real >.