poisson< Optimizer, GeometryMap, Variable > Class Template Reference

Specialization of the abstract IgANet class for Poisson's equation. More...

Inheritance diagram for poisson< Optimizer, GeometryMap, Variable >:

Public Member Functions
template<std::size_t GeometryMapNumCoeffs, std::size_t VariableNumCoeffs>
	poisson (std::vector< int64_t > &&layers, std::vector< std::vector< std::any > > &&activations, std::array< int64_t, GeometryMapNumCoeffs > &&geometryMapNumCoeffs, std::array< int64_t, VariableNumCoeffs > &&variableNumCoeffs)
	Constructor.
auto const &	collPts () const
	Returns a constant reference to the collocation points.
bool	epoch (int64_t epoch) override
	Initializes the epoch.
torch::Tensor	loss (const torch::Tensor &outputs, int64_t epoch) override
	Computes the loss function.
auto &	ref ()
	Returns a non-constant reference to the reference solution.
auto const &	ref () const
	Returns a constant reference to the reference solution.
Public Member Functions inherited from iganet::IgANet< Optimizer, GeometryMap, Variable, IgABase >
	IgANet (IgANetOptions defaults={}, iganet::Options< typename Base::value_type > options=iganet::Options< typename Base::value_type >{})
	Default constructor.

Private Types
using	Base = iganet::IgANet< Optimizer, GeometryMap, Variable >
	Type of the base class.
using	Customizable = iganet::IgANetCustomizable< GeometryMap, Variable >
	Type of the customizable class.

Private Attributes
Base::variable_collPts_type	collPts_
	Collocation points.
Customizable::geometryMap_interior_coeff_indices_type	G_coeff_indices_
	Coefficient indices of the geometry map.
Customizable::geometryMap_interior_knot_indices_type	G_knot_indices_
	Knot indices of the geometry map.
Variable	ref_
	Reference solution.
Customizable::variable_interior_coeff_indices_type	var_coeff_indices_
	Coefficient indices of variables.
Customizable::variable_interior_knot_indices_type	var_knot_indices_
	Knot indices of variables.

Additional Inherited Members
Public Types inherited from iganet::IgANet< Optimizer, GeometryMap, Variable, IgABase >
using	Base = IgABase< GeometryMap, Variable >
	Base type.
using	optimizer_type = Optimizer
	Type of the optimizer.
Public Types inherited from iganet::IgANetCustomizable< GeometryMap, Variable >
using	geometryMap_boundary_coeff_indices_type = decltype(std::declval< GeometryMap >() .template find_coeff_indices< functionspace::boundary >(std::declval< typename GeometryMap::boundary_eval_type >()))
	Type of the coefficient indices of geometry type at the boundary.
using	geometryMap_boundary_knot_indices_type = decltype(std::declval< GeometryMap >() .template find_knot_indices< functionspace::boundary >(std::declval< typename GeometryMap::boundary_eval_type >()))
	Type of the knot indices of the geometry map at the boundary.
using	geometryMap_interior_coeff_indices_type = decltype(std::declval< GeometryMap >() .template find_coeff_indices< functionspace::interior >(std::declval< typename GeometryMap::eval_type >()))
	Type of the coefficient indices of geometry type in the interior.
using	geometryMap_interior_knot_indices_type = decltype(std::declval< GeometryMap >() .template find_knot_indices< functionspace::interior >(std::declval< typename GeometryMap::eval_type >()))
	Type of the knot indices of the geometry map in the interior.
using	variable_boundary_coeff_indices_type = decltype(std::declval< Variable >() .template find_coeff_indices< functionspace::boundary >(std::declval< typename Variable::boundary_eval_type >()))
	Type of the coefficient indices of variable type at the boundary.
using	variable_boundary_knot_indices_type = decltype(std::declval< Variable >() .template find_knot_indices< functionspace::boundary >(std::declval< typename Variable::boundary_eval_type >()))
	Type of the knot indices of boundary_eval_type type at the boundary.
using	variable_interior_coeff_indices_type = decltype(std::declval< Variable >() .template find_coeff_indices< functionspace::interior >(std::declval< typename Variable::eval_type >()))
	Type of the coefficient indices of variable type in the interior.
using	variable_interior_knot_indices_type = decltype(std::declval< Variable >() .template find_knot_indices< functionspace::interior >(std::declval< typename Variable::eval_type >()))
	Type of the knot indices of the variables in the interior.
Protected Attributes inherited from iganet::IgANet< Optimizer, GeometryMap, Variable, IgABase >
IgANetGenerator< typename Base::value_type >	net_
	IgANet generator.
Optimizer	opt_
	Optimizer.
IgANetOptions	options_
	Options.

Detailed Description

template<typename Optimizer, typename GeometryMap, typename Variable>
class poisson< Optimizer, GeometryMap, Variable >

Specialization of the abstract IgANet class for Poisson's equation.

Member Typedef Documentation

Base

template<typename Optimizer , typename GeometryMap , typename Variable >

using poisson< Optimizer, GeometryMap, Variable >::Base = iganet::IgANet<Optimizer, GeometryMap, Variable>

private

Type of the base class.

Customizable

template<typename Optimizer , typename GeometryMap , typename Variable >

using poisson< Optimizer, GeometryMap, Variable >::Customizable = iganet::IgANetCustomizable<GeometryMap, Variable>

private

Type of the customizable class.

Constructor & Destructor Documentation

poisson()

template<typename Optimizer , typename GeometryMap , typename Variable >

template<std::size_t GeometryMapNumCoeffs, std::size_t VariableNumCoeffs>

poisson< Optimizer, GeometryMap, Variable >::poisson ( std::vector< int64_t > &&  layers, std::vector< std::vector< std::any > > &&  activations, std::array< int64_t, GeometryMapNumCoeffs > &&  geometryMapNumCoeffs, std::array< int64_t, VariableNumCoeffs > &&  variableNumCoeffs  )

inline

Constructor.

Member Function Documentation

collPts()

template<typename Optimizer , typename GeometryMap , typename Variable >

auto const & poisson< Optimizer, GeometryMap, Variable >::collPts ( ) const

inline

Returns a constant reference to the collocation points.

epoch()

template<typename Optimizer , typename GeometryMap , typename Variable >

bool poisson< Optimizer, GeometryMap, Variable >::epoch ( int64_t  epoch )

inlineoverridevirtual

Initializes the epoch.

Parameters

[in]

epoch

Epoch number

Implements iganet::IgANet< Optimizer, GeometryMap, Variable, IgABase >.

loss()

template<typename Optimizer , typename GeometryMap , typename Variable >

torch::Tensor poisson< Optimizer, GeometryMap, Variable >::loss ( const torch::Tensor &  outputs, int64_t  epoch  )

inlineoverridevirtual

Computes the loss function.

Parameters

[in]	outputs	Output of the network
[in]	epoch	Epoch number

Implements iganet::IgANet< Optimizer, GeometryMap, Variable, IgABase >.

ref() [1/2]

template<typename Optimizer , typename GeometryMap , typename Variable >

auto & poisson< Optimizer, GeometryMap, Variable >::ref ( )

inline

Returns a non-constant reference to the reference solution.

ref() [2/2]

template<typename Optimizer , typename GeometryMap , typename Variable >

auto const & poisson< Optimizer, GeometryMap, Variable >::ref ( ) const

inline

Returns a constant reference to the reference solution.

Member Data Documentation

collPts_

template<typename Optimizer , typename GeometryMap , typename Variable >

Base::variable_collPts_type poisson< Optimizer, GeometryMap, Variable >::collPts_

private

Collocation points.

G_coeff_indices_

template<typename Optimizer , typename GeometryMap , typename Variable >

Customizable::geometryMap_interior_coeff_indices_type poisson< Optimizer, GeometryMap, Variable >::G_coeff_indices_

private

Coefficient indices of the geometry map.

G_knot_indices_

template<typename Optimizer , typename GeometryMap , typename Variable >

Customizable::geometryMap_interior_knot_indices_type poisson< Optimizer, GeometryMap, Variable >::G_knot_indices_

private

Knot indices of the geometry map.

ref_

template<typename Optimizer , typename GeometryMap , typename Variable >

Variable poisson< Optimizer, GeometryMap, Variable >::ref_

private

Reference solution.

var_coeff_indices_

template<typename Optimizer , typename GeometryMap , typename Variable >

Customizable::variable_interior_coeff_indices_type poisson< Optimizer, GeometryMap, Variable >::var_coeff_indices_

private

Coefficient indices of variables.

var_knot_indices_

template<typename Optimizer , typename GeometryMap , typename Variable >

Customizable::variable_interior_knot_indices_type poisson< Optimizer, GeometryMap, Variable >::var_knot_indices_

private

Knot indices of variables.

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

• examples/iganet_poisson.cxx