11 #ifndef __MITTELMANNBNDRYCNTRLDIRI3D_HPP__
12 #define __MITTELMANNBNDRYCNTRLDIRI3D_HPP__
19 #include "configall_system.h"
28 # error "don't have header file for math"
38 # error "don't have header file for stdio"
42 using namespace Ipopt;
108 bool& use_x_scaling,
Index n,
110 bool& use_g_scaling,
Index m,
188 return k + (N_+2)*j + (N_+2)*(N_+2)*i;
194 return (k-1) + N_*(j-1) + N_*N_*(i-1);
216 return B_*B_/2. + C_*(t - B_);
219 return B_*B_/2. + C_*(-t - B_);
225 return PenA_*t2 + PenB_*t4 + PenC_*t6;
242 return 2.*PenA_*t + 4.*PenB_*t3 + 6.*PenC_*t5;
258 return 2.*PenA_ + 12.*PenB_*t2 + 30.*PenC_*t4;
286 printf(
"N has to be at least 1.");
297 SetBaseParameters(N, alpha, lb_y, ub_y, lb_u, ub_u, d_const, B, C);
304 return 3. + 5.*(x1*(x1-1.)*x2*(x2-1.));
Number * x
Input: Starting point Output: Optimal solution.
Number Number Index Number Number Index Index nele_hess
Number of non-zero elements in Hessian of Lagrangian.
Number Number * g
Values of constraint at final point (output only - ignored if set to NULL)
Number Number Index Number Number Index nele_jac
Number of non-zero elements in constraint Jacobian.
Number Number * x_scaling
Number Number Number * g_scaling
Number Number Index m
Number of constraints.
Number Number Index Number Number Index Index Index index_style
indexing style for iRow & jCol, 0 for C style, 1 for Fortran style
Class for all IPOPT specific calculated quantities.
Class to organize all the data required by the algorithm.
IndexStyleEnum
overload this method to return the number of variables and constraints, and the number of non-zeros i...
Class implementating Example 1.
virtual bool InitializeProblem(Index N)
Initialize internal parameters, where N is a parameter determining the problme size.
MittelmannBndryCntrlDiri3D(const MittelmannBndryCntrlDiri3D &)
MittelmannBndryCntrlDiri3D()
MittelmannBndryCntrlDiri3D & operator=(const MittelmannBndryCntrlDiri3D &)
virtual ~MittelmannBndryCntrlDiri3D()
virtual Number y_d_cont(Number x1, Number x2, Number x3) const
Target profile function for y.
Base class for boundary control problems with Dirichlet boundary conditions, as formulated by Hans Mi...
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.
MittelmannBndryCntrlDiriBase3D()
Constructor.
MittelmannBndryCntrlDiriBase3D & operator=(const MittelmannBndryCntrlDiriBase3D &)
Number PenObj_1(Number t) const
first derivative of penalty function term
virtual bool eval_f(Index n, const Number *x, bool new_x, Number &obj_value)
Method to return the objective value.
Number alpha_
Weighting parameter for the control target deviation functional in the objective.
Number hhh_
h_ to the third power
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 profile...
Number lb_u_
overall lower bound on u
virtual bool eval_grad_f(Index n, const Number *x, bool new_x, Number *grad_f)
Method to return the gradient of the objective.
Index pde_index(Index i, Index j, Index k) const
Translation of interior mesh point indices to the corresponding PDE constraint number.
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.
Index y_index(Index i, Index j, Index k) const
Translation of mesh point indices to NLP variable indices for y(x_ijk)
MittelmannBndryCntrlDiriBase3D(const MittelmannBndryCntrlDiriBase3D &)
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.
Number x1_grid(Index i) const
Compute the grid coordinate for given index in x1 direction.
Index N_
Number of mesh points in one dimension (excluding boundary)
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 ~MittelmannBndryCntrlDiriBase3D()
Default destructor.
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 jacobia...
Number PenObj(Number t) const
value of penalty function term
virtual bool eval_g(Index n, const Number *x, bool new_x, Index m, Number *g)
Method to return the constraint residuals.
Number d_const_
Constant value of d appearing in elliptical equation.
Number lb_y_
overall lower bound on y
Number PenObj_2(Number t) const
second derivative of penalty function term
Number ub_y_
overall upper bound on y
Number x3_grid(Index i) const
Compute the grid coordinate for given index in x3 direction.
Number * y_d_
Array for the target profile for y.
Number x2_grid(Index i) const
Compute the grid coordinate for given index in x2 direction.
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 valu...
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.
virtual Number y_d_cont(Number x1, Number x2, Number x3) const =0
Target profile function for y.
Number ub_u_
overall upper bound on u
Class implemented the NLP discretization of.
SolverReturn
enum for the return from the optimize algorithm (obviously we need to add more)
int Index
Type of all indices of vectors, matrices etc.
double Number
Type of all numbers.