PolyFEM
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Computes the dot product of the input x (after parametrization) and the volume of each element on the mesh. More...
#include <WeightedVolumeForm.hpp>
Public Member Functions | |
WeightedVolumeForm (CompositeParametrization &¶metrizations, const State &state) | |
Public Member Functions inherited from polyfem::solver::ParametrizationForm | |
ParametrizationForm (CompositeParametrization &¶metrizations) | |
virtual | ~ParametrizationForm () |
virtual void | init (const Eigen::VectorXd &x) final override |
Initialize the form. | |
virtual bool | is_step_valid (const Eigen::VectorXd &x0, const Eigen::VectorXd &x1) const final override |
Determine if a step from solution x0 to solution x1 is allowed. | |
virtual double | max_step_size (const Eigen::VectorXd &x0, const Eigen::VectorXd &x1) const final |
Determine the maximum step size allowable between the current and next solution. | |
virtual void | line_search_begin (const Eigen::VectorXd &x0, const Eigen::VectorXd &x1) final override |
Initialize variables used during the line search. | |
virtual void | line_search_end () final override |
Clear variables used during the line search. | |
virtual void | post_step (const polysolve::nonlinear::PostStepData &data) final override |
Update fields after a step in the optimization. | |
virtual void | solution_changed (const Eigen::VectorXd &new_x) final override |
Update cached fields upon a change in the solution. | |
virtual bool | is_step_collision_free (const Eigen::VectorXd &x0, const Eigen::VectorXd &x1) const final override |
Checks if the step is collision free. | |
Public Member Functions inherited from polyfem::solver::AdjointForm | |
AdjointForm (const VariableToSimulationGroup &variable_to_simulations) | |
virtual | ~AdjointForm () |
virtual std::string | name () const override |
void | enable_energy_print (const std::string &print_energy_keyword) |
double | value (const Eigen::VectorXd &x) const override |
Compute the value of the form multiplied with the weigth. | |
const VariableToSimulationGroup & | get_variable_to_simulations () const |
virtual Eigen::MatrixXd | compute_reduced_adjoint_rhs (const Eigen::VectorXd &x, const State &state) const |
virtual void | first_derivative (const Eigen::VectorXd &x, Eigen::VectorXd &gradv) const final override |
Compute the first derivative of the value wrt x multiplied with the weigth. | |
virtual Eigen::MatrixXd | compute_adjoint_rhs (const Eigen::VectorXd &x, const State &state) const |
virtual void | update_quantities (const double t, const Eigen::VectorXd &x) final override |
Update time-dependent fields. | |
virtual void | init_lagging (const Eigen::VectorXd &x) final override |
Initialize lagged fields TODO: more than one step. | |
virtual void | update_lagging (const Eigen::VectorXd &x, const int iter_num) final override |
Update lagged fields. | |
virtual void | set_apply_DBC (const Eigen::VectorXd &x, bool apply_DBC) final override |
Set if the Dirichlet boundary conditions should be enforced. | |
Public Member Functions inherited from polyfem::solver::Form | |
virtual | ~Form () |
Eigen::VectorXd | value_per_element (const Eigen::VectorXd &x) const |
Compute the value of the form multiplied with the weigth. | |
void | second_derivative (const Eigen::VectorXd &x, StiffnessMatrix &hessian) const |
Compute the second derivative of the value wrt x multiplied with the weigth. | |
virtual int | max_lagging_iterations () const |
Get the maximum number of lagging iteration allowable. | |
virtual bool | uses_lagging () const |
Does this form require lagging? | |
void | set_project_to_psd (bool val) |
Set project to psd. | |
bool | is_project_to_psd () const |
Get if the form's second derivative is projected to psd. | |
void | enable () |
Enable the form. | |
void | disable () |
Disable the form. | |
void | set_enabled (const bool enabled) |
Set if the form is enabled. | |
bool | enabled () const |
Determine if the form is enabled. | |
virtual double | weight () const |
Get the form's multiplicative constant weight. | |
void | set_weight (const double weight) |
Set the form's multiplicative constant weight. | |
void | set_output_dir (const std::string &output_dir) |
Protected Member Functions | |
double | value_unweighted_with_param (const Eigen::VectorXd &x) const override |
void | compute_partial_gradient_with_param (const Eigen::VectorXd &x, Eigen::VectorXd &gradv) const override |
Computes the gradient of this form wrt. x, assuming that the volume of elements doesn't depend on x. | |
Protected Member Functions inherited from polyfem::solver::ParametrizationForm | |
virtual double | value_unweighted (const Eigen::VectorXd &x) const final override |
Compute the value of the form. | |
virtual void | compute_partial_gradient (const Eigen::VectorXd &x, Eigen::VectorXd &gradv) const final override |
virtual void | init_with_param (const Eigen::VectorXd &x) |
virtual bool | is_step_valid_with_param (const Eigen::VectorXd &x0, const Eigen::VectorXd &x1) const |
virtual double | max_step_size_with_param (const Eigen::VectorXd &x0, const Eigen::VectorXd &x1) const |
virtual void | line_search_begin_with_param (const Eigen::VectorXd &x0, const Eigen::VectorXd &x1) |
virtual void | line_search_end_with_param () |
virtual void | post_step_with_param (const polysolve::nonlinear::PostStepData &data) |
virtual void | solution_changed_with_param (const Eigen::VectorXd &new_x) |
virtual bool | is_step_collision_free_with_param (const Eigen::VectorXd &x0, const Eigen::VectorXd &x1) const |
Protected Member Functions inherited from polyfem::solver::AdjointForm | |
virtual void | first_derivative_unweighted (const Eigen::VectorXd &x, Eigen::VectorXd &gradv) const final override |
Compute the first derivative of the value wrt x. | |
virtual void | second_derivative_unweighted (const Eigen::VectorXd &x, StiffnessMatrix &hessian) const final override |
Compute the second derivative of the value wrt x. | |
Protected Member Functions inherited from polyfem::solver::Form | |
std::string | resolve_output_path (const std::string &path) const |
virtual Eigen::VectorXd | value_per_element_unweighted (const Eigen::VectorXd &x) const |
Compute the value of the form multiplied per element. | |
Private Attributes | |
const State & | state_ |
Additional Inherited Members | |
Protected Types inherited from polyfem::solver::AdjointForm | |
enum class | PrintStage { Inactive , AlreadyPrinted , ToPrint } |
Protected Attributes inherited from polyfem::solver::AdjointForm | |
const VariableToSimulationGroup | variable_to_simulations_ |
PrintStage | print_energy_ = PrintStage::Inactive |
std::string | print_energy_keyword_ |
Protected Attributes inherited from polyfem::solver::Form | |
bool | project_to_psd_ = false |
If true, the form's second derivative is projected to be positive semidefinite. | |
double | weight_ = 1 |
weight of the form (e.g., AL penalty weight or Δt²) | |
bool | enabled_ = true |
If true, the form is enabled. | |
std::string | output_dir_ |
Computes the dot product of the input x (after parametrization) and the volume of each element on the mesh.
Definition at line 9 of file WeightedVolumeForm.hpp.
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inline |
Definition at line 12 of file WeightedVolumeForm.hpp.
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overrideprotectedvirtual |
Computes the gradient of this form wrt. x, assuming that the volume of elements doesn't depend on x.
Implements polyfem::solver::ParametrizationForm.
Definition at line 20 of file WeightedVolumeForm.cpp.
References polyfem::State::ass_vals_cache, polyfem::State::bases, polyfem::assembler::AssemblyValsCache::compute(), polyfem::State::geom_bases(), polyfem::State::mesh, state_, vals, polyfem::solver::Form::weight(), and x.
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overrideprotectedvirtual |
x | The input vector, after parametrization, same size as the number of elements on the mesh |
Reimplemented from polyfem::solver::ParametrizationForm.
Definition at line 6 of file WeightedVolumeForm.cpp.
References polyfem::State::ass_vals_cache, polyfem::State::bases, polyfem::assembler::AssemblyValsCache::compute(), polyfem::State::geom_bases(), polyfem::State::mesh, state_, val, vals, and x.
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private |
Definition at line 25 of file WeightedVolumeForm.hpp.
Referenced by compute_partial_gradient_with_param(), and value_unweighted_with_param().