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MittelmannBndryCntrlDiriBase3D Class Referenceabstract

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 <MittelmannBndryCntrlDiri3D.hpp>

+ Inheritance diagram for MittelmannBndryCntrlDiriBase3D:

Public Member Functions

 MittelmannBndryCntrlDiriBase3D ()
 Constructor. More...
 
virtual ~MittelmannBndryCntrlDiriBase3D ()
 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, Number B, Number C)
 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, Number x3) 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++")

 MittelmannBndryCntrlDiriBase3D (const MittelmannBndryCntrlDiriBase3D &)
 
MittelmannBndryCntrlDiriBase3Doperator= (const MittelmannBndryCntrlDiriBase3D &)
 
Auxilliary methods
Index y_index (Index i, Index j, Index k) const
 Translation of mesh point indices to NLP variable indices for y(x_ijk) More...
 
Index pde_index (Index i, Index j, Index k) 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...
 
Number x3_grid (Index i) const
 Compute the grid coordinate for given index in x3 direction. More...
 
Number PenObj (Number t) const
 value of penalty function term More...
 
Number PenObj_1 (Number t) const
 first derivative of penalty function term More...
 
Number PenObj_2 (Number t) const
 second derivative of penalty function term 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_ squared More...
 
Number hhh_
 h_ to the third power 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...
 
Numbery_d_
 Array for the target profile for y. More...
 
Data for penalty function term
Number B_
 
Number C_
 
Number PenA_
 
Number PenB_
 
Number PenC_
 

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 53 of file MittelmannBndryCntrlDiri3D.hpp.

Constructor & Destructor Documentation

MittelmannBndryCntrlDiriBase3D::MittelmannBndryCntrlDiriBase3D ( )

Constructor.

virtual MittelmannBndryCntrlDiriBase3D::~MittelmannBndryCntrlDiriBase3D ( )
virtual

Default destructor.

MittelmannBndryCntrlDiriBase3D::MittelmannBndryCntrlDiriBase3D ( const MittelmannBndryCntrlDiriBase3D )
private

Member Function Documentation

virtual bool MittelmannBndryCntrlDiriBase3D::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 MittelmannBndryCntrlDiriBase3D::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 MittelmannBndryCntrlDiriBase3D::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 MittelmannBndryCntrlDiriBase3D::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 MittelmannBndryCntrlDiriBase3D::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 MittelmannBndryCntrlDiriBase3D::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 MittelmannBndryCntrlDiriBase3D::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 MittelmannBndryCntrlDiriBase3D::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 MittelmannBndryCntrlDiriBase3D::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 MittelmannBndryCntrlDiriBase3D::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 
)
virtual

This method is called after the optimization, and could write an output file with the optimal profiles.

Implements Ipopt::TNLP.

void MittelmannBndryCntrlDiriBase3D::SetBaseParameters ( Index  N,
Number  alpha,
Number  lb_y,
Number  ub_y,
Number  lb_u,
Number  ub_u,
Number  d_const,
Number  B,
Number  C 
)
protected

Method for setting the internal parameters that define the problem.

It must be called by the child class in its implementation of InitializeParameters.

virtual Number MittelmannBndryCntrlDiriBase3D::y_d_cont ( Number  x1,
Number  x2,
Number  x3 
) const
protectedpure virtual

Target profile function for y.

Implemented in MittelmannBndryCntrlDiri3D.

MittelmannBndryCntrlDiriBase3D& MittelmannBndryCntrlDiriBase3D::operator= ( const MittelmannBndryCntrlDiriBase3D )
private
Index MittelmannBndryCntrlDiriBase3D::y_index ( Index  i,
Index  j,
Index  k 
) const
inlineprivate

Translation of mesh point indices to NLP variable indices for y(x_ijk)

Definition at line 186 of file MittelmannBndryCntrlDiri3D.hpp.

Index MittelmannBndryCntrlDiriBase3D::pde_index ( Index  i,
Index  j,
Index  k 
) const
inlineprivate

Translation of interior mesh point indices to the corresponding PDE constraint number.

Definition at line 192 of file MittelmannBndryCntrlDiri3D.hpp.

Number MittelmannBndryCntrlDiriBase3D::x1_grid ( Index  i) const
inlineprivate

Compute the grid coordinate for given index in x1 direction.

Definition at line 197 of file MittelmannBndryCntrlDiri3D.hpp.

Number MittelmannBndryCntrlDiriBase3D::x2_grid ( Index  i) const
inlineprivate

Compute the grid coordinate for given index in x2 direction.

Definition at line 202 of file MittelmannBndryCntrlDiri3D.hpp.

Number MittelmannBndryCntrlDiriBase3D::x3_grid ( Index  i) const
inlineprivate

Compute the grid coordinate for given index in x3 direction.

Definition at line 207 of file MittelmannBndryCntrlDiri3D.hpp.

Number MittelmannBndryCntrlDiriBase3D::PenObj ( Number  t) const
inlineprivate

value of penalty function term

Definition at line 212 of file MittelmannBndryCntrlDiri3D.hpp.

Number MittelmannBndryCntrlDiriBase3D::PenObj_1 ( Number  t) const
inlineprivate

first derivative of penalty function term

Definition at line 229 of file MittelmannBndryCntrlDiri3D.hpp.

Number MittelmannBndryCntrlDiriBase3D::PenObj_2 ( Number  t) const
inlineprivate

second derivative of penalty function term

Definition at line 246 of file MittelmannBndryCntrlDiri3D.hpp.

Member Data Documentation

Index MittelmannBndryCntrlDiriBase3D::N_
private

Number of mesh points in one dimension (excluding boundary)

Definition at line 158 of file MittelmannBndryCntrlDiri3D.hpp.

Number MittelmannBndryCntrlDiriBase3D::h_
private

Step size.

Definition at line 160 of file MittelmannBndryCntrlDiri3D.hpp.

Number MittelmannBndryCntrlDiriBase3D::hh_
private

h_ squared

Definition at line 162 of file MittelmannBndryCntrlDiri3D.hpp.

Number MittelmannBndryCntrlDiriBase3D::hhh_
private

h_ to the third power

Definition at line 164 of file MittelmannBndryCntrlDiri3D.hpp.

Number MittelmannBndryCntrlDiriBase3D::lb_y_
private

overall lower bound on y

Definition at line 166 of file MittelmannBndryCntrlDiri3D.hpp.

Number MittelmannBndryCntrlDiriBase3D::ub_y_
private

overall upper bound on y

Definition at line 168 of file MittelmannBndryCntrlDiri3D.hpp.

Number MittelmannBndryCntrlDiriBase3D::lb_u_
private

overall lower bound on u

Definition at line 170 of file MittelmannBndryCntrlDiri3D.hpp.

Number MittelmannBndryCntrlDiriBase3D::ub_u_
private

overall upper bound on u

Definition at line 172 of file MittelmannBndryCntrlDiri3D.hpp.

Number MittelmannBndryCntrlDiriBase3D::d_const_
private

Constant value of d appearing in elliptical equation.

Definition at line 174 of file MittelmannBndryCntrlDiri3D.hpp.

Number MittelmannBndryCntrlDiriBase3D::alpha_
private

Weighting parameter for the control target deviation functional in the objective.

Definition at line 177 of file MittelmannBndryCntrlDiri3D.hpp.

Number* MittelmannBndryCntrlDiriBase3D::y_d_
private

Array for the target profile for y.

Definition at line 179 of file MittelmannBndryCntrlDiri3D.hpp.

Number MittelmannBndryCntrlDiriBase3D::B_
private

Definition at line 265 of file MittelmannBndryCntrlDiri3D.hpp.

Number MittelmannBndryCntrlDiriBase3D::C_
private

Definition at line 266 of file MittelmannBndryCntrlDiri3D.hpp.

Number MittelmannBndryCntrlDiriBase3D::PenA_
private

Definition at line 267 of file MittelmannBndryCntrlDiri3D.hpp.

Number MittelmannBndryCntrlDiriBase3D::PenB_
private

Definition at line 268 of file MittelmannBndryCntrlDiri3D.hpp.

Number MittelmannBndryCntrlDiriBase3D::PenC_
private

Definition at line 269 of file MittelmannBndryCntrlDiri3D.hpp.


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