Penalizes relative jumps in per-element Lamé parameters. More...

#include <SmoothingForms.hpp>

Inheritance diagram for polyfem::solver::ElasticMaterialSmoothingForm:

Collaboration diagram for polyfem::solver::ElasticMaterialSmoothingForm:

Public Member Functions
	ElasticMaterialSmoothingForm (const VariableToSimulationGroup &variable_to_simulations, std::shared_ptr< const varform::DifferentiableVarForm > varform, const std::vector< int > &volume_selections)
	Create an elastic-material (Lamé-parameter) smoothing term.

std::string	name () const override

double	value_unweighted (const Eigen::VectorXd &x) const override
	Compute the value of the form.

void	compute_partial_gradient (const Eigen::VectorXd &x, Eigen::VectorXd &gradv) const override

Public Member Functions inherited from polyfem::solver::AdjointForm
	AdjointForm (const VariableToSimulationGroup &variable_to_simulations)

virtual	~AdjointForm ()

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.

virtual void	solution_changed (const Eigen::VectorXd &new_x) override
	Update cached fields upon a change in the solution.

const VariableToSimulationGroup &	get_variable_to_simulations () const

virtual Eigen::MatrixXd	compute_reduced_adjoint_rhs (const Eigen::VectorXd &x, const varform::DifferentiableVarForm &varform, const DiffCache &diff_cache) 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 varform::DifferentiableVarForm &varform, const DiffCache &diff_cache) 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.

Public Member Functions inherited from polyfem::solver::Form
virtual	~Form ()

virtual void	init (const Eigen::VectorXd &x)
	Initialize the form.

virtual void	finish ()

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 bool	is_step_valid (const Eigen::VectorXd &x0, const Eigen::VectorXd &x1) const
	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
	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)
	Initialize variables used during the line search.

virtual void	line_search_end ()
	Clear variables used during the line search.

virtual void	post_step (const polysolve::nonlinear::PostStepData &data)
	Update fields after a step in the optimization.

virtual int	max_lagging_iterations () const
	Get the maximum number of lagging iteration allowable.

virtual bool	uses_lagging () const
	Does this form require lagging?

virtual 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.

virtual bool	is_step_collision_free (const Eigen::VectorXd &x0, const Eigen::VectorXd &x1) const
	Checks if the step is collision free.

void	set_output_dir (const std::string &output_dir)

virtual void	set_scale (const double scale)
	sets the scale for the form

Private Member Functions
Eigen::VectorXd	lame_parameters (const Eigen::VectorXd &x) const

Private Attributes
std::shared_ptr< const varform::DifferentiableVarForm >	varform_

std::vector< std::pair< int, int > >	adjacent_elements_
	Adjacent global element id. Contains both direction Ex. (elem a, elem b) and (elem b, elem a)

Additional Inherited Members
Protected Types inherited from polyfem::solver::AdjointForm
enum class	PrintStage { Inactive , AlreadyPrinted , ToPrint }

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.

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_

Detailed Description

Penalizes relative jumps in per-element Lamé parameters.

J = weight / (neighboring pair num) ∑ᵢⱼ [(1 − λᵢ/λⱼ)² + (1 − μᵢ/μⱼ)²]. ij denotes neighboring elements. λ, μ denotes lame parameters.

For penalty of the form f = (1 − pᵢ/pⱼ)², the first derivatives are ∂f/∂pᵢ = 2(pᵢ/pⱼ − 1)/pⱼ ∂f/∂pⱼ = 2(1 − pᵢ/pⱼ)pᵢ/pⱼ²

Definition at line 47 of file SmoothingForms.hpp.

Constructor & Destructor Documentation

◆ ElasticMaterialSmoothingForm()

polyfem::solver::ElasticMaterialSmoothingForm::ElasticMaterialSmoothingForm	(	const VariableToSimulationGroup &	variable_to_simulations,
		std::shared_ptr< const varform::DifferentiableVarForm >	varform,
		const std::vector< int > &	volume_selections
	)

Create an elastic-material (Lamé-parameter) smoothing term.

Parameters

volume_selections Active body ids. Empty implies all active.

Definition at line 193 of file SmoothingForms.cpp.

References adjacent_elements_, polyfem::solver::VariableToSimulationGroup::data, polyfem::solver::LameParameter, polyfem::log_and_throw_adjoint_error(), varform_, and polyfem::solver::AdjointForm::variable_to_simulations_.

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Member Function Documentation

◆ compute_partial_gradient()

void polyfem::solver::ElasticMaterialSmoothingForm::compute_partial_gradient	(	const Eigen::VectorXd &	x,
		Eigen::VectorXd &	gradv
	)		const

overridevirtual

Reimplemented from polyfem::solver::AdjointForm.

Definition at line 304 of file SmoothingForms.cpp.

References adjacent_elements_, polyfem::solver::VariableToSimulationGroup::apply_parametrization_jacobian(), lame_parameters(), polyfem::solver::LameParameter, varform_, polyfem::solver::AdjointForm::variable_to_simulations_, polyfem::solver::Form::weight(), and x.

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◆ lame_parameters()

Eigen::VectorXd polyfem::solver::ElasticMaterialSmoothingForm::lame_parameters ( const Eigen::VectorXd & x ) const

private

Definition at line 273 of file SmoothingForms.cpp.

References polyfem::solver::VariableToSimulationGroup::compute_state_variable(), polyfem::solver::LameParameter, varform_, polyfem::solver::AdjointForm::variable_to_simulations_, and x.

Referenced by compute_partial_gradient(), and value_unweighted().

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◆ name()

std::string polyfem::solver::ElasticMaterialSmoothingForm::name ( ) const

inlineoverridevirtual

Reimplemented from polyfem::solver::AdjointForm.

Definition at line 57 of file SmoothingForms.hpp.

◆ value_unweighted()

double polyfem::solver::ElasticMaterialSmoothingForm::value_unweighted ( const Eigen::VectorXd & x ) const

overridevirtual

Compute the value of the form.

Parameters

x	Current solution

Returns: Computed value

Implements polyfem::solver::Form.

Definition at line 282 of file SmoothingForms.cpp.

References adjacent_elements_, lame_parameters(), polyfem::solver::AdjointForm::value(), varform_, and x.

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Member Data Documentation

◆ adjacent_elements_

std::vector<std::pair<int, int> > polyfem::solver::ElasticMaterialSmoothingForm::adjacent_elements_

private

Adjacent global element id. Contains both direction Ex. (elem a, elem b) and (elem b, elem a)

Definition at line 67 of file SmoothingForms.hpp.

Referenced by compute_partial_gradient(), ElasticMaterialSmoothingForm(), and value_unweighted().

◆ varform_

std::shared_ptr<const varform::DifferentiableVarForm> polyfem::solver::ElasticMaterialSmoothingForm::varform_

private

Definition at line 65 of file SmoothingForms.hpp.

Referenced by compute_partial_gradient(), ElasticMaterialSmoothingForm(), lame_parameters(), and value_unweighted().

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

src/polyfem/optimization/forms/SmoothingForms.hpp
src/polyfem/optimization/forms/SmoothingForms.cpp

Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ ElasticMaterialSmoothingForm()

Member Function Documentation

◆ compute_partial_gradient()

◆ lame_parameters()

◆ name()

◆ value_unweighted()

Member Data Documentation

◆ adjacent_elements_

◆ varform_