Base class for boundary control problems with Dirichlet boundary conditions, as formulated by Hans Mittelmann as Examples 1-4 in "Optimization Techniques for Solving Elliptic Control Problems with Control and State Constraints. More...

#include <MittelmannBndryCntrlDiri.hpp>

Inheritance diagram for MittelmannBndryCntrlDiriBase:

Public Member Functions
	MittelmannBndryCntrlDiriBase ()
	Constructor. More...

virtual	~MittelmannBndryCntrlDiriBase ()
	Default destructor. More...

virtual bool	get_scaling_parameters (Number &obj_scaling, bool &use_x_scaling, Index n, Number x_scaling, bool &use_g_scaling, Index m, Number g_scaling)
	Method for returning scaling parameters. More...

Overloaded from TNLP
virtual bool	get_nlp_info (Index &n, Index &m, Index &nnz_jac_g, Index &nnz_h_lag, IndexStyleEnum &index_style)
	Method to return some info about the nlp. More...

virtual bool	get_bounds_info (Index n, Number x_l, Number x_u, Index m, Number g_l, Number g_u)
	Method to return the bounds for my problem. More...

virtual bool	get_starting_point (Index n, bool init_x, Number x, bool init_z, Number z_L, Number z_U, Index m, bool init_lambda, Number lambda)
	Method to return the starting point for the algorithm. More...

virtual bool	eval_f (Index n, const Number *x, bool new_x, Number &obj_value)
	Method to return the objective value. More...

virtual bool	eval_grad_f (Index n, const Number x, bool new_x, Number grad_f)
	Method to return the gradient of the objective. More...

virtual bool	eval_g (Index n, const Number x, bool new_x, Index m, Number g)
	Method to return the constraint residuals. More...

virtual bool	eval_jac_g (Index n, const Number x, bool new_x, Index m, Index nele_jac, Index iRow, Index jCol, Number values)
	Method to return: 1) The structure of the jacobian (if "values" is NULL) 2) The values of the jacobian (if "values" is not NULL) More...

virtual bool	eval_h (Index n, const Number x, bool new_x, Number obj_factor, Index m, const Number lambda, bool new_lambda, Index nele_hess, Index iRow, Index jCol, Number *values)
	Method to return: 1) The structure of the hessian of the lagrangian (if "values" is NULL) 2) The values of the hessian of the lagrangian (if "values" is not NULL) More...

Solution Methods
virtual void	finalize_solution (SolverReturn status, Index n, const Number x, const Number z_L, const Number z_U, Index m, const Number g, const Number lambda, Number obj_valu, const IpoptData ip_data, IpoptCalculatedQuantities *ip_cq)
	This method is called after the optimization, and could write an output file with the optimal profiles. More...

Public Member Functions inherited from RegisteredTNLP
virtual bool	InitializeProblem (Index N)=0
	Initialize internal parameters, where N is a parameter determining the problme size. More...

Public Member Functions inherited from Ipopt::TNLP
	DECLARE_STD_EXCEPTION (INVALID_TNLP)

	TNLP ()

virtual	~TNLP ()
	Default destructor. More...

virtual void	finalize_metadata (Index n, const StringMetaDataMapType &var_string_md, const IntegerMetaDataMapType &var_integer_md, const NumericMetaDataMapType &var_numeric_md, Index m, const StringMetaDataMapType &con_string_md, const IntegerMetaDataMapType &con_integer_md, const NumericMetaDataMapType &con_numeric_md)
	This method is called just before finalize_solution. More...

virtual bool	intermediate_callback (AlgorithmMode mode, Index iter, Number obj_value, Number inf_pr, Number inf_du, Number mu, Number d_norm, Number regularization_size, Number alpha_du, Number alpha_pr, Index ls_trials, const IpoptData ip_data, IpoptCalculatedQuantities ip_cq)
	Intermediate Callback method for the user. More...

virtual Index	get_number_of_nonlinear_variables ()

virtual bool	get_list_of_nonlinear_variables (Index num_nonlin_vars, Index *pos_nonlin_vars)

virtual bool	get_var_con_metadata (Index n, StringMetaDataMapType &var_string_md, IntegerMetaDataMapType &var_integer_md, NumericMetaDataMapType &var_numeric_md, Index m, StringMetaDataMapType &con_string_md, IntegerMetaDataMapType &con_integer_md, NumericMetaDataMapType &con_numeric_md)
	overload this method to return any meta data for the variables and the constraints More...

virtual bool	get_variables_linearity (Index n, LinearityType *var_types)
	overload this method to return the variables linearity (TNLP::LINEAR or TNLP::NON_LINEAR). More...

virtual bool	get_constraints_linearity (Index m, LinearityType *const_types)
	overload this method to return the constraint linearity. More...

virtual bool	get_warm_start_iterate (IteratesVector &warm_start_iterate)
	overload this method to provide an Ipopt iterate (already in the form Ipopt requires it internally) for a warm start. More...

Public Member Functions inherited from Ipopt::ReferencedObject
	ReferencedObject ()

virtual	~ReferencedObject ()

Index	ReferenceCount () const

void	AddRef (const Referencer *referencer) const

void	ReleaseRef (const Referencer *referencer) const

Protected Member Functions
void	SetBaseParameters (Index N, Number alpha, Number lb_y, Number ub_y, Number lb_u, Number ub_u, Number d_const)
	Method for setting the internal parameters that define the problem. More...

Functions that defines a particular instance.
virtual Number	y_d_cont (Number x1, Number x2) const =0
	Target profile function for y. More...

Private Member Functions
Methods to block default compiler methods.
The compiler automatically generates the following three methods. Since the default compiler implementation is generally not what you want (for all but the most simple classes), we usually put the declarations of these methods in the private section and never implement them. This prevents the compiler from implementing an incorrect "default" behavior without us knowing. (See Scott Meyers book, "Effective C++")
	MittelmannBndryCntrlDiriBase (const MittelmannBndryCntrlDiriBase &)

MittelmannBndryCntrlDiriBase &	operator= (const MittelmannBndryCntrlDiriBase &)

Auxilliary methods
Index	y_index (Index i, Index j) const
	Translation of mesh point indices to NLP variable indices for y(x_ij) More...

Index	pde_index (Index i, Index j) const
	Translation of interior mesh point indices to the corresponding PDE constraint number. More...

Number	x1_grid (Index i) const
	Compute the grid coordinate for given index in x1 direction. More...

Number	x2_grid (Index i) const
	Compute the grid coordinate for given index in x2 direction. More...

Private Attributes
Problem specification
Index	N_
	Number of mesh points in one dimension (excluding boundary) More...

Number	h_
	Step size. More...

Number	hh_
	h_ squaredd More...

Number	lb_y_
	overall lower bound on y More...

Number	ub_y_
	overall upper bound on y More...

Number	lb_u_
	overall lower bound on u More...

Number	ub_u_
	overall upper bound on u More...

Number	d_const_
	Constant value of d appearing in elliptical equation. More...

Number	alpha_
	Weighting parameter for the control target deviation functional in the objective. More...

Number *	y_d_
	Array for the target profile for y. More...

Additional Inherited Members
Public Types inherited from Ipopt::TNLP
enum	LinearityType { LINEAR, NON_LINEAR }
	Type of the constraints. More...

enum	IndexStyleEnum { C_STYLE =0, FORTRAN_STYLE =1 }
	overload this method to return the number of variables and constraints, and the number of non-zeros in the jacobian and the hessian. More...

typedef std::map< std::string, std::vector< std::string > >	StringMetaDataMapType

typedef std::map< std::string, std::vector< Index > >	IntegerMetaDataMapType

typedef std::map< std::string, std::vector< Number > >	NumericMetaDataMapType

Detailed Description

Base class for boundary control problems with Dirichlet boundary conditions, as formulated by Hans Mittelmann as Examples 1-4 in "Optimization Techniques for Solving Elliptic Control Problems with Control and State Constraints.

Part 2: Boundary Control"

Here, the control variables are identical to the values of y on the boundary, and therefore we don't need any explicit optimization variables for u.

Definition at line 52 of file MittelmannBndryCntrlDiri.hpp.

Constructor & Destructor Documentation

MittelmannBndryCntrlDiriBase::MittelmannBndryCntrlDiriBase ( )

Constructor.

virtual MittelmannBndryCntrlDiriBase::~MittelmannBndryCntrlDiriBase ( )

virtual

Default destructor.

MittelmannBndryCntrlDiriBase::MittelmannBndryCntrlDiriBase ( const MittelmannBndryCntrlDiriBase & )

private

Member Function Documentation

virtual bool MittelmannBndryCntrlDiriBase::get_nlp_info	(	Index &	n,
		Index &	m,
		Index &	nnz_jac_g,
		Index &	nnz_h_lag,
		IndexStyleEnum &	index_style
	)

virtual

Method to return some info about the nlp.

Implements Ipopt::TNLP.

virtual bool MittelmannBndryCntrlDiriBase::get_bounds_info	(	Index	n,
		Number *	x_l,
		Number *	x_u,
		Index	m,
		Number *	g_l,
		Number *	g_u
	)

virtual

Method to return the bounds for my problem.

Implements Ipopt::TNLP.

virtual bool MittelmannBndryCntrlDiriBase::get_starting_point	(	Index	n,
		bool	init_x,
		Number *	x,
		bool	init_z,
		Number *	z_L,
		Number *	z_U,
		Index	m,
		bool	init_lambda,
		Number *	lambda
	)

virtual

Method to return the starting point for the algorithm.

Implements Ipopt::TNLP.

virtual bool MittelmannBndryCntrlDiriBase::eval_f	(	Index	n,
		const Number *	x,
		bool	new_x,
		Number &	obj_value
	)

virtual

Method to return the objective value.

Implements Ipopt::TNLP.

virtual bool MittelmannBndryCntrlDiriBase::eval_grad_f	(	Index	n,
		const Number *	x,
		bool	new_x,
		Number *	grad_f
	)

virtual

Method to return the gradient of the objective.

Implements Ipopt::TNLP.

virtual bool MittelmannBndryCntrlDiriBase::eval_g	(	Index	n,
		const Number *	x,
		bool	new_x,
		Index	m,
		Number *	g
	)

virtual

Method to return the constraint residuals.

Implements Ipopt::TNLP.

virtual bool MittelmannBndryCntrlDiriBase::eval_jac_g	(	Index	n,
		const Number *	x,
		bool	new_x,
		Index	m,
		Index	nele_jac,
		Index *	iRow,
		Index *	jCol,
		Number *	values
	)

virtual

Method to return: 1) The structure of the jacobian (if "values" is NULL) 2) The values of the jacobian (if "values" is not NULL)

Implements Ipopt::TNLP.

virtual bool MittelmannBndryCntrlDiriBase::eval_h	(	Index	n,
		const Number *	x,
		bool	new_x,
		Number	obj_factor,
		Index	m,
		const Number *	lambda,
		bool	new_lambda,
		Index	nele_hess,
		Index *	iRow,
		Index *	jCol,
		Number *	values
	)

virtual

Method to return: 1) The structure of the hessian of the lagrangian (if "values" is NULL) 2) The values of the hessian of the lagrangian (if "values" is not NULL)

Reimplemented from Ipopt::TNLP.

virtual bool MittelmannBndryCntrlDiriBase::get_scaling_parameters	(	Number &	obj_scaling,
		bool &	use_x_scaling,
		Index	n,
		Number *	x_scaling,
		bool &	use_g_scaling,
		Index	m,
		Number *	g_scaling
	)

virtual

Method for returning scaling parameters.

Reimplemented from Ipopt::TNLP.

virtual void MittelmannBndryCntrlDiriBase::finalize_solution	(	SolverReturn	status,
		Index	n,
		const Number *	x,
		const Number *	z_L,
		const Number *	z_U,
		Index	m,
		const Number *	g,
		const Number *	lambda,
		Number	obj_valu,
		const IpoptData *	ip_data,
		IpoptCalculatedQuantities *	ip_cq
	)