Approximate LU decomposition of a H-matrix. More...

#include </home/wojtek/Projects/BEM/bempp-sven/bempp/lib/assembly/aca_approximate_lu_inverse.hpp>

Inheritance diagram for Bempp::AcaApproximateLuInverse< ValueType >:

Public Types
typedef Fiber::ScalarTraits < ValueType >::RealType	MagnitudeType

Public Member Functions
	AcaApproximateLuInverse (const DiscreteAcaBoundaryOperator< ValueType > &fwdOp, MagnitudeType delta, VerbosityLevel::Level verbosityLevel=VerbosityLevel::DEFAULT)
	Construct an approximate LU decomposition of a H-matrix. More...

virtual unsigned int	rowCount () const
	Number of rows of the operator.

virtual unsigned int	columnCount () const
	Number of columns of the operator.

virtual void	addBlock (const std::vector< int > &rows, const std::vector< int > &cols, const ValueType alpha, arma::Mat< ValueType > &block) const
	Add a subblock of this operator to a matrix. More...

virtual Teuchos::RCP< const Thyra::VectorSpaceBase < ValueType > >	domain () const

virtual Teuchos::RCP< const Thyra::VectorSpaceBase < ValueType > >	range () const

template<>
	AcaApproximateLuInverse (const DiscreteAcaBoundaryOperator< std::complex< float > > &fwdOp, MagnitudeType delta, VerbosityLevel::Level verbosityLevel)

Public Member Functions inherited from Bempp::DiscreteBoundaryOperator< ValueType >
virtual	~DiscreteBoundaryOperator ()
	Destructor.

void	apply (const Thyra::EOpTransp M_trans, const Thyra::MultiVectorBase< ValueType > &x_in, const Thyra::Ptr< Thyra::MultiVectorBase< ValueType > > &y_inout, const ValueType alpha, const ValueType beta) const
	Apply the linear operator to a multivector. More...

void	apply (const TranspositionMode trans, const arma::Mat< ValueType > &x_in, arma::Mat< ValueType > &y_inout, const ValueType alpha, const ValueType beta) const
	Apply the operator to a vector. More...

virtual shared_ptr< const DiscreteBoundaryOperator >	asDiscreteAcaBoundaryOperator (double eps=-1, int maximumRank=-1, bool interleave=false) const
	Return a representation that can be cast to a DiscreteAcaBoundaryOperator. More...

virtual void	dump () const
	Write a textual representation of the operator to standard output. More...

virtual arma::Mat< ValueType >	asMatrix () const
	Matrix representation of the operator. More...

Protected Member Functions
virtual bool	opSupportedImpl (Thyra::EOpTransp M_trans) const

Protected Member Functions inherited from Bempp::DiscreteBoundaryOperator< ValueType >
virtual void	applyImpl (const Thyra::EOpTransp M_trans, const Thyra::MultiVectorBase< ValueType > &X_in, const Teuchos::Ptr< Thyra::MultiVectorBase< ValueType > > &Y_inout, const ValueType alpha, const ValueType beta) const

Private Member Functions
virtual void	applyBuiltInImpl (const TranspositionMode trans, const arma::Col< ValueType > &x_in, arma::Col< ValueType > &y_inout, const ValueType alpha, const ValueType beta) const

Additional Inherited Members
Related Functions inherited from Bempp::DiscreteBoundaryOperator< ValueType >
template<typename ValueType >
shared_ptr< const DiscreteBoundaryOperator < ValueType > >	operator+ (const shared_ptr< const DiscreteBoundaryOperator< ValueType > > &op)
	Unary plus: return a copy of the argument.

template<typename ValueType >
shared_ptr< const DiscreteBoundaryOperator < ValueType > >	operator- (const shared_ptr< const DiscreteBoundaryOperator< ValueType > > &op)
	Return a shared pointer to a DiscreteBoundaryOperator representing the operand multiplied by -1. More...

template<typename ValueType >
shared_ptr < DiscreteBoundaryOperator < ValueType > >	operator+ (const shared_ptr< const DiscreteBoundaryOperator< ValueType > > &op1, const shared_ptr< const DiscreteBoundaryOperator< ValueType > > &op2)
	Return a shared pointer to a DiscreteBoundaryOperator representing the sum of the operands. More...

template<typename ValueType >
shared_ptr < DiscreteBoundaryOperator < ValueType > >	operator- (const shared_ptr< const DiscreteBoundaryOperator< ValueType > > &op1, const shared_ptr< const DiscreteBoundaryOperator< ValueType > > &op2)
	Return a shared pointer to a DiscreteBoundaryOperator representing the difference of the operands. More...

template<typename ValueType , typename ScalarType >
boost::enable_if< typename boost::mpl::has_key < boost::mpl::set< float, double, std::complex< float > , std::complex< double > >, ScalarType >, shared_ptr < DiscreteBoundaryOperator < ValueType > > >::type	operator* (ScalarType scalar, const shared_ptr< const DiscreteBoundaryOperator< ValueType > > &op)
	Return a shared pointer to a DiscreteBoundaryOperator representing the operator `*op` multiplied by `scalar`. More...

template<typename ValueType , typename ScalarType >
boost::enable_if< typename boost::mpl::has_key < boost::mpl::set< float, double, std::complex< float > , std::complex< double > >, ScalarType >, shared_ptr < DiscreteBoundaryOperator < ValueType > > >::type	operator* (const shared_ptr< const DiscreteBoundaryOperator< ValueType > > &op, ScalarType scalar)
	Return a shared pointer to a DiscreteBoundaryOperator representing the operator `*op` multiplied by `scalar`. More...

template<typename ValueType >
shared_ptr < DiscreteBoundaryOperator < ValueType > >	operator* (const shared_ptr< const DiscreteBoundaryOperator< ValueType > > &op1, const shared_ptr< const DiscreteBoundaryOperator< ValueType > > &op2)
	Return a shared pointer to a DiscreteBoundaryOperator representing a composition of operators, `(op1) (*op2)`. More...

template<typename ValueType >
shared_ptr < DiscreteBoundaryOperator < ValueType > >	mul (const shared_ptr< const DiscreteBoundaryOperator< ValueType > > &op1, const shared_ptr< const DiscreteBoundaryOperator< ValueType > > &op2)
	Return a shared pointer to a DiscreteBoundaryOperator representing a composition of operators, `(op1) (*op2)`. More...

template<typename ValueType , typename ScalarType >
shared_ptr < DiscreteBoundaryOperator < ValueType > >	operator/ (const shared_ptr< const DiscreteBoundaryOperator< ValueType > > &op, ScalarType scalar)
	Return a shared pointer to a DiscreteBoundaryOperator representing the operator `*op` divided by `scalar`. More...

template<typename ValueType >
shared_ptr < DiscreteBoundaryOperator < ValueType > >	transpose (const shared_ptr< const DiscreteBoundaryOperator< ValueType > > &op)
	Return a shared pointer to a DiscreteBoundaryOperator representing the transposed operator `*op`. More...

template<typename ValueType >
shared_ptr < DiscreteBoundaryOperator < ValueType > >	conjugate (const shared_ptr< const DiscreteBoundaryOperator< ValueType > > &op)
	Return a shared pointer to a DiscreteBoundaryOperator representing the conjugated operator `*op`. More...

template<typename ValueType >
shared_ptr < DiscreteBoundaryOperator < ValueType > >	conjugateTranspose (const shared_ptr< const DiscreteBoundaryOperator< ValueType > > &op)
	Return a shared pointer to a DiscreteBoundaryOperator representing the conjugate-transposed operator `*op`. More...

template<typename ValueType >
shared_ptr < DiscreteBoundaryOperator < ValueType > >	transpose (TranspositionMode trans, const shared_ptr< const DiscreteBoundaryOperator< ValueType > > &op)
	Return a shared pointer to a DiscreteBoundaryOperator representing the transposed and/or conjugated (depending on the value of the argument `trans`) operator `*op`. More...

template<typename RealType >
shared_ptr < DiscreteBoundaryOperator < std::complex< RealType > > >	complexify (const shared_ptr< const DiscreteBoundaryOperator< RealType > > &op)
	Return a shared pointer to a DiscreteBoundaryOperator representing the "complexified" operator `*op`. More...

Detailed Description

template<typename ValueType>
class Bempp::AcaApproximateLuInverse< ValueType >

Approximate LU decomposition of a H-matrix.

Constructor & Destructor Documentation

template<typename ValueType >

Bempp::AcaApproximateLuInverse< ValueType >::AcaApproximateLuInverse	(	const DiscreteAcaBoundaryOperator< ValueType > &	fwdOp,
		MagnitudeType	delta,
		VerbosityLevel::Level	verbosityLevel = `VerbosityLevel::DEFAULT`
	)

Construct an approximate LU decomposition of a H-matrix.

Parameters

[in]	fwdOp	Operator represented internally as a H-matrix.
[in]	delta	Requested approximation accuracy (M. Bebendorf recommends delta = 0.1).

Member Function Documentation

template<typename ValueType >

void Bempp::AcaApproximateLuInverse< ValueType >::addBlock	(	const std::vector< int > &	rows,
		const std::vector< int > &	cols,
		const ValueType	alpha,
		arma::Mat< ValueType > &	block
	)		const

virtual

Add a subblock of this operator to a matrix.

Perform the operation block += alpha * L[rows, cols], where block is a matrix, alpha a scalar and L[rows, cols] a subblock of this discrete linear operator.

Parameters

[in]	rows	Vector of row indices.
[in]	cols	Vector of column indices.
[in]	alpha	Multiplier.
[in,out]	block	On entry, matrix of size (`rows.size()`, `cols.size()`). On exit, each element (i, j) of this matrix will be augmented by the element (`rows[i]`, `cols[j]`) of this operator, multiplied by `alpha`.

Row and column indices may be unsorted.

This method need not be supported by all subclasses. It is mainly intended for internal use during weak-form assembly.

Implements Bempp::DiscreteBoundaryOperator< ValueType >.

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

/home/wojtek/Projects/BEM/bempp-sven/bempp/lib/assembly/aca_approximate_lu_inverse.hpp
/home/wojtek/Projects/BEM/bempp-sven/bempp/lib/assembly/aca_approximate_lu_inverse.cpp

Public Types

Public Member Functions

Protected Member Functions

Private Member Functions

Additional Inherited Members

Detailed Description

template<typename ValueType> class Bempp::AcaApproximateLuInverse< ValueType >

Constructor & Destructor Documentation

Member Function Documentation

template<typename ValueType>
class Bempp::AcaApproximateLuInverse< ValueType >