Detailed Description

interface for Greedy.Plugin.Interface implementations generating an reduced basis space for parametrized partial differential equations.

Definition at line 19 of file PODCommon.m.

Inheritance diagram for Greedy.Plugin.PODCommon:

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Collaboration diagram for Greedy.Plugin.PODCommon:

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Public Member Functions
	PODCommon (SnapshotsGenerator.Trajectories generator)
	constructor for an PODCommon instance More...

function Greedy.DataTree.Detailed.RBLeafNode detailed_data =	finalize (IReducedModel rmodel,Greedy.DataTree.Detailed.RBLeafNode detailed_data)
	function called after the last extension process More...

Public Member Functions inherited from Greedy.Plugin.Default
	Default (SnapshotsGenerator.Cached generator)
	constructor for a greedy extension object More...

function [ max_errs , max_err_sequence , max_mu_index ] =	error_indicators (Greedy.User.IReducedModel rmodel,Greedy.User.IDetailedData detailed_data,ParameterSampling.Interface parameter_set, reuse_reduced_data)
	computes error indicators for the reduced simulations for every parameter vector from a given parameter set \({\cal M}_{\text{train}}\). More...

function errs =	compute_error (Greedy.User.IReducedModel rmodel,Greedy.User.ReducedData reduced_data,Greedy.User.IDetailedData detailed_data)
	computes the "true" error between a reduced and a detailed function \(\\| v_h(t^k;\mu) - v_{\text{red}}(t^k;\mu) \\|\). More...

virtual function [ max_errs , max_err_sequence , max_mu_index ] =	error_estimators (Greedy.User.IReducedModel rmodel,Greedy.User.IDetailedData detailed_data, M_train)
	computes a posteriori error estimators for the reduced simulations for every parameter vector from a given parameter set \({\cal M}_{\text{train}}\). More...

Public Member Functions inherited from Greedy.Plugin.Interface
	Interface (SnapshotsGenerator.Cached generator)
	constructor for a greedy extension object More...

virtual function Greedy.DataTree.Detailed.INode detailed_data =	init_basis (Greedy.User.IReducedModel rmodel,ModelData model_data,ParameterSampling.Interface M_train)
	creates an initial detailed data node storing an initial reduced basis More...

virtual function	prepare_reduced_data (Greedy.User.IReducedModel rmodel,Greedy.User.IDetailedData detailed_data)
	prepares reduced data that is necessary for the execution of other methods if indicated by needs_preparation. More...

virtual function [ max_errs , max_err_sequence , max_mu_index ] =	error_indicators (Greedy.User.IReducedModel rmodel,Greedy.User.IDetailedData detailed_data, parameter_set, reuse_reduced_data)
	computes error indicators for the reduced simulations for every parameter vector from a given parameter set \({\cal M}_{\text{train}}\). More...

virtual function Uapprox =	generate_reduced (Greedy.User.IReducedModel rmodel,Greedy.User.ReducedData reduced_data,Greedy.User.IDetailedData detailed_data, U)
	generates a reduced function \(v_{\text{red}}(\mu)\). More...

virtual function [ breakloop , reason ] =	pre_check_for_end (Greedy.User.IReducedModel rmodel,Greedy.User.IDetailedData detailed_data)
	checks whether the basis generation process has come to an end. More...

virtual function Greedy.User.IDetailedData detailed_data =	basis_extension (Greedy.User.IReducedModel rmodel,Greedy.User.IDetailedData detailed_data, max_err_seq, mu)
	extends the reduced basis space from a given function \(v_{h}(\mu)\). More...

virtual function Greedy.User.IDetailedData detailed_data =	finalize (Greedy.User.IReducedModel rmodel,Greedy.User.IDetailedData detailed_data)
	function called after the last extension process More...

Additional Inherited Members
Public Attributes inherited from Greedy.Plugin.Default
Greedy.User.ReducedData	reduced_data = "[]"
	temporary handle to the last object computed by prepare_reduced_data(). More...

	needs_preparation
	boolean indicating whether the prepare_reduced_data() method needs to be computed before error_indicators can be computed. More...

	indicator_mode = "error"
	string specifying which indicators shall be used by the error_indicators() method. More...

	use_l2_error = true
	boolean flag indicating whether the \(L^2(\Omega)\)-norm is used by compute_error(). More...

	relative_error = false
	boolean flag specifying whether we want to use the relative error for error_indicators() and compute_error() methods. More...

Public Attributes inherited from Greedy.Plugin.Interface
	id
	a string identifying the basis extension algorithm, should be unique over all instances of Interface implementations. More...

	relative_error
	boolean flag specifying whether we want to use the relative error for error_indicators() and compute_error() methods. More...

	indicator_mode
	string specifying which indicators shall be used by the error_indicators() method. More...

	needs_preparation
	boolean indicating whether the prepare_reduced_data() method needs to be computed before error_indicators can be computed. More...

::SnapshotsGenerator.Cached	generator
	an object generating possible (high dimension) basis functions

Static Public Attributes inherited from Greedy.Plugin.Interface
static const	generated_basis_type
	string specifying the detailed data produced by this basis generation algorithm object. More...

Constructor & Destructor Documentation

Greedy.Plugin.PODCommon.PODCommon ( SnapshotsGenerator.Trajectories generator )

constructor for an PODCommon instance

Parameters

generator object generating the (high dimensional) basis functions, i.e. solutions of the numerical scheme for the partial differential evaluation.

Definition at line 30 of file PODCommon.m.

Member Function Documentation

function Greedy.DataTree.Detailed.RBLeafNode detailed_data = Greedy.Plugin.PODCommon.finalize	(	IReducedModel	rmodel,
		Greedy.DataTree.Detailed.RBLeafNode	detailed_data
	)

function called after the last extension process

Parameters

rmodel	an object specifying the basis generation process.
detailed_data	object defining the basis generation algorithm and storage for storing high dimensional data, i.e. dependent on dimension \(H\). This data is necessary for detailed simulations, construction of online matrices, `reduced_data` and reconstruction of reduced simulations.

Return values

detailed_data updated data tree node .

This function does nothing.

Definition at line 44 of file PODCommon.m.

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

rbasis/basisgen/oop/+Greedy/+Plugin/PODCommon.m

Detailed Description

Public Member Functions

Additional Inherited Members

Constructor & Destructor Documentation

Member Function Documentation