MittelmannBndryCntrlDiriBase3Dsin Class Reference

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 <MittelmannBndryCntrlDiri3Dsin.hpp>

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List of all members.

Public Member Functions

 MittelmannBndryCntrlDiriBase3Dsin ()
 Constructor.
virtual ~MittelmannBndryCntrlDiriBase3Dsin ()
 Default destructor.
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.
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.
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.
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.
virtual bool eval_f (Index n, const Number *x, bool new_x, Number &obj_value)
 Method to return the objective value.
virtual bool eval_grad_f (Index n, const Number *x, bool new_x, Number *grad_f)
 Method to return the gradient of the objective.
virtual bool eval_g (Index n, const Number *x, bool new_x, Index m, Number *g)
 Method to return the constraint residuals.
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).
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).
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.

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.
Functions that defines a particular instance.



virtual Number y_d_cont (Number x1, Number x2, Number x3) const =0
 Target profile function for y.

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++")



 MittelmannBndryCntrlDiriBase3Dsin (const MittelmannBndryCntrlDiriBase3Dsin &)
MittelmannBndryCntrlDiriBase3Dsin & operator= (const MittelmannBndryCntrlDiriBase3Dsin &)
 Overloaded Equals Operator.
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).
Index pde_index (Index i, Index j, Index k) const
 Translation of interior mesh point indices to the corresponding PDE constraint number.
Number x1_grid (Index i) const
 Compute the grid coordinate for given index in x1 direction.
Number x2_grid (Index i) const
 Compute the grid coordinate for given index in x2 direction.
Number x3_grid (Index i) const
 Compute the grid coordinate for given index in x3 direction.

Private Attributes

Problem specification



Index N_
 Number of mesh points in one dimension (excluding boundary).
Number h_
 Step size.
Number hh_
 h_ squaredd
Number lb_y_
 overall lower bound on y
Number ub_y_
 overall upper bound on y
Number lb_u_
 overall lower bound on u
Number ub_u_
 overall upper bound on u
Number d_const_
 Constant value of d appearing in elliptical equation.
Number alpha_
 Weighting parameter for the control target deviation functional in the objective.
Number * y_d_
 Array for the target profile for y.

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 37 of file MittelmannBndryCntrlDiri3Dsin.hpp.

Constructor & Destructor Documentation

MittelmannBndryCntrlDiriBase3Dsin::MittelmannBndryCntrlDiriBase3Dsin (  ) 

Constructor.

virtual MittelmannBndryCntrlDiriBase3Dsin::~MittelmannBndryCntrlDiriBase3Dsin (  )  [virtual]

Default destructor.

MittelmannBndryCntrlDiriBase3Dsin::MittelmannBndryCntrlDiriBase3Dsin ( const MittelmannBndryCntrlDiriBase3Dsin &   )  [private]

Member Function Documentation

virtual bool MittelmannBndryCntrlDiriBase3Dsin::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 MittelmannBndryCntrlDiriBase3Dsin::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 MittelmannBndryCntrlDiriBase3Dsin::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 MittelmannBndryCntrlDiriBase3Dsin::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 MittelmannBndryCntrlDiriBase3Dsin::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 MittelmannBndryCntrlDiriBase3Dsin::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 MittelmannBndryCntrlDiriBase3Dsin::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 MittelmannBndryCntrlDiriBase3Dsin::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 MittelmannBndryCntrlDiriBase3Dsin::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 MittelmannBndryCntrlDiriBase3Dsin::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 MittelmannBndryCntrlDiriBase3Dsin::SetBaseParameters ( Index  N,
Number  alpha,
Number  lb_y,
Number  ub_y,
Number  lb_u,
Number  ub_u,
Number  d_const 
) [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 MittelmannBndryCntrlDiriBase3Dsin::y_d_cont ( Number  x1,
Number  x2,
Number  x3 
) const [protected, pure virtual]

Target profile function for y.

Implemented in MittelmannBndryCntrlDiri3Dsin.

MittelmannBndryCntrlDiriBase3Dsin& MittelmannBndryCntrlDiriBase3Dsin::operator= ( const MittelmannBndryCntrlDiriBase3Dsin &   )  [private]

Overloaded Equals Operator.

Reimplemented from Ipopt::TNLP.

Reimplemented in MittelmannBndryCntrlDiri3Dsin.

Index MittelmannBndryCntrlDiriBase3Dsin::y_index ( Index  i,
Index  j,
Index  k 
) const [inline, private]

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

Definition at line 168 of file MittelmannBndryCntrlDiri3Dsin.hpp.

Index MittelmannBndryCntrlDiriBase3Dsin::pde_index ( Index  i,
Index  j,
Index  k 
) const [inline, private]

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

Definition at line 174 of file MittelmannBndryCntrlDiri3Dsin.hpp.

Number MittelmannBndryCntrlDiriBase3Dsin::x1_grid ( Index  i  )  const [inline, private]

Compute the grid coordinate for given index in x1 direction.

Definition at line 179 of file MittelmannBndryCntrlDiri3Dsin.hpp.

Number MittelmannBndryCntrlDiriBase3Dsin::x2_grid ( Index  i  )  const [inline, private]

Compute the grid coordinate for given index in x2 direction.

Definition at line 184 of file MittelmannBndryCntrlDiri3Dsin.hpp.

Number MittelmannBndryCntrlDiriBase3Dsin::x3_grid ( Index  i  )  const [inline, private]

Compute the grid coordinate for given index in x3 direction.

Definition at line 189 of file MittelmannBndryCntrlDiri3Dsin.hpp.

Member Data Documentation

Index MittelmannBndryCntrlDiriBase3Dsin::N_ [private]

Number of mesh points in one dimension (excluding boundary).

Definition at line 142 of file MittelmannBndryCntrlDiri3Dsin.hpp.

Number MittelmannBndryCntrlDiriBase3Dsin::h_ [private]

Step size.

Definition at line 144 of file MittelmannBndryCntrlDiri3Dsin.hpp.

Number MittelmannBndryCntrlDiriBase3Dsin::hh_ [private]

h_ squaredd

Definition at line 146 of file MittelmannBndryCntrlDiri3Dsin.hpp.

Number MittelmannBndryCntrlDiriBase3Dsin::lb_y_ [private]

overall lower bound on y

Definition at line 148 of file MittelmannBndryCntrlDiri3Dsin.hpp.

Number MittelmannBndryCntrlDiriBase3Dsin::ub_y_ [private]

overall upper bound on y

Definition at line 150 of file MittelmannBndryCntrlDiri3Dsin.hpp.

Number MittelmannBndryCntrlDiriBase3Dsin::lb_u_ [private]

overall lower bound on u

Definition at line 152 of file MittelmannBndryCntrlDiri3Dsin.hpp.

Number MittelmannBndryCntrlDiriBase3Dsin::ub_u_ [private]

overall upper bound on u

Definition at line 154 of file MittelmannBndryCntrlDiri3Dsin.hpp.

Number MittelmannBndryCntrlDiriBase3Dsin::d_const_ [private]

Constant value of d appearing in elliptical equation.

Definition at line 156 of file MittelmannBndryCntrlDiri3Dsin.hpp.

Number MittelmannBndryCntrlDiriBase3Dsin::alpha_ [private]

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

Definition at line 159 of file MittelmannBndryCntrlDiri3Dsin.hpp.

Number* MittelmannBndryCntrlDiriBase3Dsin::y_d_ [private]

Array for the target profile for y.

Definition at line 161 of file MittelmannBndryCntrlDiri3Dsin.hpp.

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