Singly Diagonal Implicit Runge Kutta Method. More...

#include <theta_time_step.h>

Inheritance diagram for ug::SDIRK< TAlgebra >:

Public Types
typedef TAlgebra	algebra_type
	Type of algebra.

typedef IDomainDiscretization< TAlgebra >	domain_discretization_type
	Domain Discretization type.

typedef algebra_type::matrix_type	matrix_type
	Type of algebra matrix.

typedef algebra_type::vector_type	vector_type
	Type of algebra vector.

Public Types inherited from ug::MultiStepTimeDiscretization< TAlgebra >
typedef TAlgebra	algebra_type
	Type of algebra.

typedef IDomainDiscretization< algebra_type >	domain_discretization_type
	Domain Discretization type.

typedef CPUAlgebra::vector_type	error_vector_type
	Type of algebra vector.

typedef algebra_type::matrix_type	matrix_type
	Type of algebra matrix.

typedef algebra_type::vector_type	vector_type
	Type of algebra vector.

Public Types inherited from ug::ITimeDiscretization< TAlgebra >
typedef TAlgebra	algebra_type
	Algebra type.

typedef IDomainDiscretization< TAlgebra >	domain_discretization_type
	Domain Discretization type.

typedef algebra_type::vector_type	vector_type
	Vector type.

Public Types inherited from ug::IAssemble< TAlgebra >
typedef TAlgebra	algebra_type
	Algebra type.

typedef TAlgebra::matrix_type	matrix_type
	Type of algebra matrix.

typedef TAlgebra::vector_type	vector_type
	Type of algebra vector.

Public Member Functions
void	adjust_solution (vector_type &u, const GridLevel &gl)

void	assemble_defect (vector_type &d, const vector_type &u, const GridLevel &gl)

void	assemble_jacobian (matrix_type &J, const vector_type &u, const GridLevel &gl)

void	assemble_linear (matrix_type &A, vector_type &b, const GridLevel &gl)

void	assemble_rhs (vector_type &b, const GridLevel &gl)

void	assemble_rhs (vector_type &b, const vector_type &u, const GridLevel &gl)

virtual size_t	num_stages () const
	returns number of stages

virtual void	prepare_step (SmartPtr< VectorTimeSeries< vector_type > > prevSol, number dt)
	prepares the assembling of Defect/Jacobian for a time step

	SDIRK (SmartPtr< IDomainDiscretization< TAlgebra > > spDD)
	default constructor (implicit Euler)

	SDIRK (SmartPtr< IDomainDiscretization< TAlgebra > > spDD, int order)
	theta = 1.0 -> Implicit Euler, 0.0 -> Explicit Euler

void	set_order (int order)
	sets the scheme

virtual void	set_stage (size_t stage)
	sets the stage

virtual	~SDIRK ()

Public Member Functions inherited from ug::MultiStepTimeDiscretization< TAlgebra >
void	adjust_solution (vector_type &u, const GridLevel &gl)

void	assemble_defect (vector_type &d, const vector_type &u, const GridLevel &gl)

void	assemble_jacobian (matrix_type &J, const vector_type &u, const GridLevel &gl)

void	assemble_linear (matrix_type &A, vector_type &b, const GridLevel &gl)

void	assemble_rhs (vector_type &b, const GridLevel &gl)

void	assemble_rhs (vector_type &b, const vector_type &u, const GridLevel &gl)

void	calc_error (const vector_type &u)

void	calc_error (const vector_type &u, error_vector_type &u_vtk)

void	calc_error (const vector_type &u, error_vector_type *u_vtk)
	Error estimator ///.

virtual void	finish_step (SmartPtr< VectorTimeSeries< vector_type > > currSol)

virtual void	finish_step_elem (SmartPtr< VectorTimeSeries< vector_type > > currSol, const GridLevel &gl)

virtual number	future_time () const
	returns the future time point (i.e. the one that will be computed)

void	invalidate_error ()

bool	is_error_valid ()
	returns whether error indicators are valid

	MultiStepTimeDiscretization (SmartPtr< IDomainDiscretization< algebra_type > > spDD)
	constructor

virtual size_t	num_prev_steps () const
	returns number of previous time steps needed

virtual void	prepare_step_elem (SmartPtr< VectorTimeSeries< vector_type > > prevSol, number dt, const GridLevel &gl)
	prepares the assembling of Defect/Jacobian for a time step

virtual	~MultiStepTimeDiscretization ()

Public Member Functions inherited from ug::ITimeDiscretization< TAlgebra >
virtual SmartPtr< IConstraint< TAlgebra > >	constraint (size_t i)
	returns the i'th constraint

SmartPtr< IDomainDiscretization< TAlgebra > >	domain_disc () const
	return underlying domain disc

	ITimeDiscretization (SmartPtr< IDomainDiscretization< TAlgebra > > spDD)
	create and set domain discretization

virtual size_t	num_constraints () const
	returns the number of constraint

void	prepare_step_elem (SmartPtr< VectorTimeSeries< vector_type > > prevSol, number dt)
	prepares the assembling of Defect/Jacobian for a time step

void	finish_step_elem (SmartPtr< VectorTimeSeries< vector_type > > currSol)

Public Member Functions inherited from ug::IAssemble< TAlgebra >
void	adjust_solution (vector_type &u)

virtual void	adjust_solution (vector_type &u, const GridLevel &gl)=0
	sets dirichlet values in solution vector

void	assemble_defect (vector_type &d, const vector_type &u)

virtual void	assemble_defect (vector_type &d, const vector_type &u, const GridLevel &gl)=0
	assembles Defect

void	assemble_jacobian (matrix_type &J, const vector_type &u)

virtual void	assemble_jacobian (matrix_type &J, const vector_type &u, const GridLevel &gl)=0
	assembles Jacobian (or Approximation of Jacobian)

void	assemble_linear (matrix_type &A, vector_type &b)

virtual void	assemble_linear (matrix_type &A, vector_type &b, const GridLevel &gl)=0
	Assembles Matrix and Right-Hand-Side for a linear problem.

void	assemble_mass_matrix (matrix_type &M, const vector_type &u)

virtual void	assemble_mass_matrix (matrix_type &M, const vector_type &u, const GridLevel &gl)
	assembles mass matrix

void	assemble_rhs (vector_type &b)

virtual void	assemble_rhs (vector_type &b, const GridLevel &gl)=0
	Assembles Right-Hand-Side for a linear problem.

virtual void	assemble_rhs (vector_type &rhs, const vector_type &u)

virtual void	assemble_rhs (vector_type &rhs, const vector_type &u, const GridLevel &gl)=0
	assembles rhs

void	assemble_stiffness_matrix (matrix_type &A, const vector_type &u)

virtual void	assemble_stiffness_matrix (matrix_type &A, const vector_type &u, const GridLevel &gl)
	assembles stiffness matrix

virtual	~IAssemble ()
	Virtual Destructor.

Protected Member Functions
virtual number	update_scaling (std::vector< number > &vSM, std::vector< number > &vSA, number dt)

virtual number	update_scaling (std::vector< number > &vSM, std::vector< number > &vSA, number dt, number currentTime, ConstSmartPtr< VectorTimeSeries< vector_type > > prevSol)
	Error estimator ///.

Protected Attributes
number	m_lastTime

int	m_order

size_t	m_stage

number	m_Time0

Protected Attributes inherited from ug::MultiStepTimeDiscretization< TAlgebra >
number	m_dt
	Time Step size.

number	m_futureTime
	Future Time.

SmartPtr< VectorTimeSeries< vector_type > >	m_pPrevSol
	Previous solutions.

size_t	m_prevSteps
	number of previous steps needed.

std::vector< number >	m_vScaleMass
	Scaling for mass part.

std::vector< number >	m_vScaleStiff
	Scaling for stiffness part.

Protected Attributes inherited from ug::ITimeDiscretization< TAlgebra >
SmartPtr< IDomainDiscretization< TAlgebra > >	m_spDomDisc
	Domain Discretization.

Detailed Description

template<typename TAlgebra>
class ug::SDIRK< TAlgebra >

Singly Diagonal Implicit Runge Kutta Method.

Member Typedef Documentation

◆ algebra_type

template<typename TAlgebra >

typedef TAlgebra ug::SDIRK< TAlgebra >::algebra_type

Type of algebra.

◆ domain_discretization_type

template<typename TAlgebra >

typedef IDomainDiscretization<TAlgebra> ug::SDIRK< TAlgebra >::domain_discretization_type

Domain Discretization type.

◆ matrix_type

template<typename TAlgebra >

typedef algebra_type::matrix_type ug::SDIRK< TAlgebra >::matrix_type

Type of algebra matrix.

◆ vector_type

template<typename TAlgebra >

typedef algebra_type::vector_type ug::SDIRK< TAlgebra >::vector_type

Type of algebra vector.

Constructor & Destructor Documentation

◆ SDIRK() [1/2]

template<typename TAlgebra >

ug::SDIRK< TAlgebra >::SDIRK ( SmartPtr< IDomainDiscretization< TAlgebra > > spDD )

inline

default constructor (implicit Euler)

References ug::MultiStepTimeDiscretization< TAlgebra >::m_prevSteps.

◆ SDIRK() [2/2]

template<typename TAlgebra >

ug::SDIRK< TAlgebra >::SDIRK	(	SmartPtr< IDomainDiscretization< TAlgebra > >	spDD,
		int	order
	)

inline

theta = 1.0 -> Implicit Euler, 0.0 -> Explicit Euler

References ug::SDIRK< TAlgebra >::m_order, ug::MultiStepTimeDiscretization< TAlgebra >::m_prevSteps, and ug::SDIRK< TAlgebra >::set_order().

◆ ~SDIRK()

template<typename TAlgebra >

virtual ug::SDIRK< TAlgebra >::~SDIRK ( )

inlinevirtual

Member Function Documentation

◆ adjust_solution()

template<typename TAlgebra >

void ug::SDIRK< TAlgebra >::adjust_solution	(	vector_type &	u,
		const GridLevel &	gl
	)

References PROFILE_BEGIN_GROUP, and UG_CATCH_THROW.

◆ assemble_defect()

template<typename TAlgebra >

void ug::SDIRK< TAlgebra >::assemble_defect	(	vector_type &	d,
		const vector_type &	u,
		const GridLevel &	gl
	)

References UG_CATCH_THROW.

◆ assemble_jacobian()

template<typename TAlgebra >

void ug::SDIRK< TAlgebra >::assemble_jacobian	(	matrix_type &	J,
		const vector_type &	u,
		const GridLevel &	gl
	)

References UG_CATCH_THROW.

◆ assemble_linear()

template<typename TAlgebra >

void ug::SDIRK< TAlgebra >::assemble_linear	(	matrix_type &	A,
		vector_type &	b,
		const GridLevel &	gl
	)

References UG_THROW.

◆ assemble_rhs() [1/2]

template<typename TAlgebra >

void ug::SDIRK< TAlgebra >::assemble_rhs	(	vector_type &	b,
		const GridLevel &	gl
	)

References UG_THROW.

◆ assemble_rhs() [2/2]

template<typename TAlgebra >

void ug::SDIRK< TAlgebra >::assemble_rhs	(	vector_type &	b,
		const vector_type &	u,
		const GridLevel &	gl
	)

References UG_THROW.

◆ num_stages()

template<typename TAlgebra >

virtual size_t ug::SDIRK< TAlgebra >::num_stages ( ) const

inlinevirtual

returns number of stages

Implements ug::ITimeDiscretization< TAlgebra >.

References ug::SDIRK< TAlgebra >::m_order, and UG_THROW.

◆ prepare_step()

template<typename TAlgebra >

void ug::SDIRK< TAlgebra >::prepare_step	(	SmartPtr< VectorTimeSeries< vector_type > >	prevSol,
		number	dt
	)

virtual

prepares the assembling of Defect/Jacobian for a time step

This function supplies the TimeDiscretization with previous time steps and step size before the assembling routines can be called.

Parameters

[in]	prevSol	the solution at the previous time steps
[in]	dt	size of time step

Reimplemented from ug::MultiStepTimeDiscretization< TAlgebra >.

References UG_CATCH_THROW.

◆ set_order()

template<typename TAlgebra >

void ug::SDIRK< TAlgebra >::set_order ( int order )

inline

sets the scheme

References ug::SDIRK< TAlgebra >::m_order, and UG_THROW.

Referenced by ug::SDIRK< TAlgebra >::SDIRK().

◆ set_stage()

template<typename TAlgebra >

void ug::SDIRK< TAlgebra >::set_stage ( size_t stage )

virtual

sets the stage

Implements ug::ITimeDiscretization< TAlgebra >.

◆ update_scaling() [1/2]

template<typename TAlgebra >

number ug::SDIRK< TAlgebra >::update_scaling	(	std::vector< number > &	vSM,
		std::vector< number > &	vSA,
		number	dt
	)

protectedvirtual

References UG_THROW.

◆ update_scaling() [2/2]

template<typename TAlgebra >

virtual number ug::SDIRK< TAlgebra >::update_scaling	(	std::vector< number > &	vSM,
		std::vector< number > &	vSA,
		number	dt,
		number	currentTime,
		ConstSmartPtr< VectorTimeSeries< vector_type > >	prevSol
	)

inlineprotectedvirtual

Error estimator ///.

updates the scaling factors, returns the future time

Implements ug::MultiStepTimeDiscretization< TAlgebra >.

References UG_THROW.

Member Data Documentation

◆ m_lastTime

template<typename TAlgebra >

number ug::SDIRK< TAlgebra >::m_lastTime

protected

◆ m_order

template<typename TAlgebra >

int ug::SDIRK< TAlgebra >::m_order

protected

Referenced by ug::SDIRK< TAlgebra >::num_stages(), ug::SDIRK< TAlgebra >::SDIRK(), and ug::SDIRK< TAlgebra >::set_order().

◆ m_stage

template<typename TAlgebra >

size_t ug::SDIRK< TAlgebra >::m_stage

protected

◆ m_Time0

template<typename TAlgebra >

number ug::SDIRK< TAlgebra >::m_Time0

protected

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

ugbase/lib_disc/time_disc/theta_time_step.h
ugbase/lib_disc/time_disc/theta_time_step_impl.h

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ algebra_type

◆ domain_discretization_type

◆ matrix_type

◆ vector_type

Constructor & Destructor Documentation

◆ SDIRK() [1/2]

◆ SDIRK() [2/2]

◆ ~SDIRK()

Member Function Documentation

◆ adjust_solution()

◆ assemble_defect()

◆ assemble_jacobian()

◆ assemble_linear()

◆ assemble_rhs() [1/2]

◆ assemble_rhs() [2/2]

◆ num_stages()

◆ prepare_step()

◆ set_order()

◆ set_stage()

◆ update_scaling() [1/2]

◆ update_scaling() [2/2]

Member Data Documentation

◆ m_lastTime

◆ m_order

◆ m_stage

◆ m_Time0