Detailed Description

Greedy.Plugin.Interface implementation that extends in each basis extension step, the reduced basis space and/or the collateral reduced basis space(s).

As an error indicator it uses the error indicator of the reduced numerical scheme, with the ambition to "optimize" all spaces for best output in the final solutions \(u_{\text{red}}(\mu)\).

Definition at line 19 of file PODEI.m.

Inheritance diagram for Greedy.Plugin.PODEI:

[legend]

Collaboration diagram for Greedy.Plugin.PODEI:

[legend]

Public Member Functions
	PODEI (Greedy.Plugin.PODCommon rb_extension,Greedy.Plugin.EICommon ei_extension,Greedy.Algorithm ei_init_greedy, Mmax_small)
	constructor for a combined extension algorithm for reduced and collateral reduced basis spaces. More...

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

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

function [ max_errs , max_err_seq , max_mu_index ] =	error_indicators (IReducedModel rmodel,Greedy.DataTree.Detailed.PODEILeafNode 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...

function errs =	compute_error (IReducedModel rmodel,IReducedData reduced_data,Greedy.DataTree.Detailed.PODEILeafNode 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...

function Uapprox =	generate_reduced (IReducedModel rmodel,IReducedData reduced_data,Greedy.DataTree.Detailed.PODEILeafNode detailed_data, U)
	generates a reduced function \(v_{\text{red}}(\mu)\). More...

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

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

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

function isbad =	indicate_bad_basis_extension (IDetailedData detailed_data)
	indicates whether the last basis extension was bad 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 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 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...

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

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

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

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

	Mmax_small
	number of collateral reduced of the initial collateral reduced basis. More...

	error_differences_for_extension = false
	boolean flag indicating to use largest error difference over time steps in order to select snapshot for collateral reduced basis extension. More...

	M_by_N_ratio = 0
	forced ratio between the sizes of the colletaral and the regular reduced basis space More...

	bad_extension_on_explosion = false
	boolean flag indicating whether in an explosion is a bad extension. More...

	maximum_temporary_error_growth_factor = 0
	maximum factor between the current maximum indicator and the smallest maximum error indicator during previous extensions More...

	discard_last_rb_after_bad_extension = true
	boolean flag specifying whether the last generated reduced basis vector should be discarded after a bad extension is indicated by indicate_bad_basis_extension(). More...

	skip_rb_after_bad_extension = true
	boolean flag specifying whether the current reduced basis extension should be skipped after a bad extension is indicated by indicate_bad_basis_extension(). More...

	skip_ei_after_bad_extension = false
	boolean flag specifying whether the current collateral reduced basis extension should be skipped after a bad extension is indicated by indicate_bad_basis_extension(). More...

::Greedy.Plugin.PODCommon	rb_ext
	object used for extension of the reduced basis space.

::Greedy.Plugin.EICommon	ei_ext
	object used for extension of the collateral reduced basis space(s) and providing an error estimator

Greedy.Algorithm	ei_init_greedy
	object used for initial creation of collateral reduced basis space(s) 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
static const	info_fields
	cell array of field names whose values shall be copied to the generated Greedy.DataTree.Detailed.PODEILeafNode instance. More...

static const	generated_basis_type = "eirb"
	string specifying the detailed data produced by this basis generation algorithm object. More...

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.PODEI.PODEI	(	Greedy.Plugin.PODCommon	rb_extension,
		Greedy.Plugin.EICommon	ei_extension,
		Greedy.Algorithm	ei_init_greedy,
			Mmax_small
	)

constructor for a combined extension algorithm for reduced and collateral reduced basis spaces.

Parameters

rb_extension	an object specifying how to extend the reduced basis space and providing an error indicator.
ei_extension	an object specifying how to extend the collateral reduced basis space(s).
ei_init_greedy	an object used for initial creation of collateral reduced basis space(s)
Mmax_small	Mmax small

Required fields of rb_extension:

generator — generator

Definition at line 274 of file PODEI.m.

Member Function Documentation

function Greedy.DataTree.Detailed.PODEILeafNode detailed_data = Greedy.Plugin.PODEI.basis_extension	(	IReducedModel	rmodel,
		Greedy.DataTree.Detailed.PODEILeafNode	detailed_data,
			max_err_seq,
			mu
	)

extends the reduced basis space from a given function \(v_{h}(\mu)\).

This generates a new basis function \(\varphi_{n+1} \in {\cal W}_h\) from the sequence of detailed functions \(v_h(t^k,\mu)\) for \(k=0,\ldots,K\) as returned by the SnapshotsGenerator.Cached generator.

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.
max_err_seq	sequence of error indicators as returned as second return argument of error_indicators()
mu	paramter vector \(\mu\).

Return values

detailed_data updated data tree node .

This function first extends the collateral reduced basis space unless

Greedy.Plugin.EI.pre_check_for_end() returned false
the last extension was "bad" as indicated by indicate_bad_basis_extension() and skip_ei_after_bad_extension is enabled
the extension fails (e.g. because of Greedy.Plugin.EI.minimum_residual)

Afterwards, this function extends the reduced basis space unless

Greedy.Plugin.PODCommon.pre_check_for_end() returned false
the last extension was "bad" as indicated by indicate_bad_basis_extension() and skip_rb_after_bad_extension of discard_last_rb_after_bad_extension are enabled
the M/N-ratio condition as described in M_by_N_ratio failed
reduced simulations returned NaN error indicators

In the second case and with enabled discard_last_rb_after_bad_extension option the last generated reduced basis is discarded if

since the last discard at least two extensions have been processed.

Definition at line 523 of file PODEI.m.

Here is the call graph for this function:

function errs = Greedy.Plugin.PODEI.compute_error	(	IReducedModel	rmodel,
		IReducedData	reduced_data,
		Greedy.DataTree.Detailed.PODEILeafNode	detailed_data
	)

computes the "true" error between a reduced and a detailed function \(\| v_h(t^k;\mu) - v_{\text{red}}(t^k;\mu) \|\).

Note: This function might depend on a previous execution of prepare_reduced_data().

Parameters

rmodel	an object specifying the basis generation process. The parameter \(\mu\) for which the error shall be computed must be set by `set_mu(rmodel, mu)` before.
reduced_data	an object constructing and storing all (low-dimensional) reduced matrices and vectors needed for reduced simulations.
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

errs	a sequence of errors at every time step \(k=0,\ldots,K\).

This function calls the Greedy.Plugin.Interface.compute_error() method of the rb_ext member.

Definition at line 462 of file PODEI.m.

Here is the caller graph for this function:

function [ max_errs , max_err_seq , max_mu_index ] = Greedy.Plugin.PODEI.error_indicators	(	IReducedModel	rmodel,
		Greedy.DataTree.Detailed.PODEILeafNode	detailed_data,
			parameter_set,
			reuse_reduced_data
	)

computes error indicators for the reduced simulations for every parameter vector from a given parameter set \({\cal M}_{\text{train}}\).

An error indicator estimates an error

\[\eta^k(\mu) \geq \| v_h(t^k;\mu) - v_{\text{red}}(t^k;\mu) \|\]

for every time step \(0\leq t^0, \ldots, t^K = T\) and every parameter \(\mu \in {\cal M}\). The norm is a problem specific norm determined by the options in rmodel.

This function's main use is to find a parameter vector

\[\mu_{\max} = \arg \sup_{\mu \in {\cal M}_{\text{train}} } \max_{k=0,\ldots,K} \eta^k(\mu)\]

.

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.
parameter_set	a set of parameter vectors \({\cal M}_{\text{train}}\) as returned by ParameterSampling.Interface.space .
reuse_reduced_data	optional flag indicating whether the reduced data needed for reduced simulations or computation of error estimators is still valid since its last generation. (default = `false`)

Return values

max_errs	a matrix of size `n_parameters x model.nt+1` storing the error indicator \(\eta^k(\mu)\) for every \(k=0,\ldots,K\) and \(\mu \in {\cal M}_{\text{train}}\).
max_err_sequence	a sequence of error indicators \(\eta^k(\mu_{\max})\) for every \(k=0,\ldots,K\).
max_mu_index	the index of the parameter vector \(\mu_{\max}\) in the `parameter_set` matrix.

This function calls the Greedy.Plugin.Interface.error_indicators() method of the rb_ext member.

Definition at line 445 of file PODEI.m.

function Greedy.DataTree.Detailed.PODEILeafNode detailed_data = Greedy.Plugin.PODEI.finalize	(	IReducedModel	rmodel,
		Greedy.DataTree.Detailed.PODEILeafNode	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 method calls

the finalize() method of the ei_ext member and
the finalize() method of the rb_ext member

Definition at line 698 of file PODEI.m.

function Uapprox = Greedy.Plugin.PODEI.generate_reduced	(	IReducedModel	rmodel,
		IReducedData	reduced_data,
		Greedy.DataTree.Detailed.PODEILeafNode	detailed_data,
			U
	)

generates a reduced function \(v_{\text{red}}(\mu)\).

Note: This function might depend on a previous execution of prepare_reduced_data().

Parameters

rmodel	an object specifying the basis generation process. The parameter \(\mu\) for which the error shall be computed must be set by `set_mu(rmodel, mu)` before.
reduced_data	an object storing all (low-dimensional) reduced matrices and vectors needed for reduced simulations.
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.
U	optional DOF vector, for example operator evaluations.

Return values

Uapprox A sequence of Dof vectors of the functions \(v_{\text{red}}(\cdot;t^k,\mu)\).

This function calls the Greedy.Plugin.Interface.generate_reduced() method of the rb_ext member.

Definition at line 476 of file PODEI.m.

function isbad = Greedy.Plugin.PODEI.indicate_bad_basis_extension ( IDetailedData detailed_data )

indicates whether the last basis extension was bad

The last basis extension is bad if the maximum error indicator is larger than in the step before.

Furthermore, we test if the maximum error indicator is \(f\) times larger than the minimum error indicated at any extension step before. In this case we say, the event explosion has occured.

If maximum_temporary_error_growth_factor equals 0, the explosion test is disabled.

The explosion test can affect the the assessment of a bad extension in the following way dependent on the option bad_extension_on_explosion:

If bad_extension_on_explosion is set to true, an explosion is also an indicator for a bad extension.
If bad_extension_on_explosion is set to false, for an explosion true is returned.

The latter option assumes that an explosion of the error indicates that lately introduced complexity by more accurate empirical interpolation operators is not captured by the current reduced basis yet.

In the explosion test the factor \(f\) is defined by

\[f = c_{\text{max\_temp\_err\_growth}} \cdot \frac{1}{n_{\text{no\_rb\_ext}}}\]

with a constant \(c_{\text{max\_temp\_err\_growth}}\) given by maximum_temporary_error_growth_factor and a weighting factor determined by the number of extension steps withouth reduced basis extension \(n_{\text{no\_rb\_ext}}\).

Parameters

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

isbad a boolean value indicating whether the last extension was bad.

Definition at line 720 of file PODEI.m.

Here is the caller graph for this function:

function Greedy.DataTree.Detailed.PODEILeafNode detailed_data = Greedy.Plugin.PODEI.init_basis	(	IReducedModel	rmodel,
		ModelData	model_data,
			M_train
	)

creates an initial detailed data node storing an initial reduced basis

Parameters

rmodel	an object specifying the basis generation process.
M_train	an object specifying the parameter vector set \({\cal M}_{\text{train}}\) from which the basis functions are obtained.
model_data	Matlab structure storing (possibly) high dimensional data needed by IDetailedModel.detailed_simulation().

Return values

detailed_data an object storing the initial reduced basis vectors.

This function

starts Greedy.Algorithm.gen_detailed_data() on the ei_init_greedy member in order to compute initial collateral reduced basis space(s)
creates a history Greedy.DataTree.Detailed.INode.snapshot() afterwards
calls Greedy.Plugin.PODCommon.init_basis() on the rb_ext instance

Definition at line 370 of file PODEI.m.

function [ breakloop , reason ] = Greedy.Plugin.PODEI.pre_check_for_end	(	IReducedModel	rmodel,
		Greedy.DataTree.Detailed.PODEILeafNode	detailed_data
	)

checks whether the basis generation process has come to an end.

Global break conditions (error_tolerance, timeout and validation ratio) are handled by Greedy.Algorithm .

Parameters

rmodel	object specifying how the reduced simulations can be computed.
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

breakloop	boolean flag indicating whether the basis generation process is finished for this reduced basis space.
reason	descriptive text telling about the reasons why, the extension process needs to break.

This function only indicates a basis extension stop if both parts are ready.

Definition at line 490 of file PODEI.m.

Here is the caller graph for this function:

function Greedy.Plugin.PODEI.prepare_reduced_data	(	IReducedModel	rmodel,
		IDetailedData	detailed_data
	)

prepares reduced data that is necessary for the execution of other methods if indicated by needs_preparation.

Methods that might depend on the execution of this method are

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.

Definition at line 429 of file PODEI.m.

Here is the caller graph for this function:

Member Data Documentation

Greedy.Plugin.PODEI.bad_extension_on_explosion = false

boolean flag indicating whether in an explosion is a bad extension.

See also: indicate_bad_basis_extension() for details.

Default: false

Definition at line 165 of file PODEI.m.

Greedy.Plugin.PODEI.discard_last_rb_after_bad_extension = true

boolean flag specifying whether the last generated reduced basis vector should be discarded after a bad extension is indicated by indicate_bad_basis_extension().

See indicate_bad_basis_extension() and basis_extension() for details.

Default: true

Definition at line 188 of file PODEI.m.

Greedy.Plugin.PODEI.ei_init_greedy

object used for initial creation of collateral reduced basis space(s)

See Mmax_small for details

Definition at line 261 of file PODEI.m.

Greedy.Plugin.PODEI.error_differences_for_extension = false

boolean flag indicating to use largest error difference over time steps in order to select snapshot for collateral reduced basis extension.

In order to extend the collateral reduced basis spaces, we need to select one snapshot indexed by \(k_{\max}\) from the sequence of possible vectors \(v_h(t^{k},\mu_{\max}) \in {\cal W}_h\). If this flag is set to true, \(k_{\max} = \arg \max_{k=1,\ldots,K} \eta^k(\mu_{\max}) - \eta^{k-1}(\mu_{\max})\).

Otherwise \(k_{\max}\) is determind as the time step of the maximum error returned by Greedy.Plugin.EI.compute_error()

Default: false

Definition at line 128 of file PODEI.m.

Greedy.Plugin.PODEI.generated_basis_type = "eirb"

static

string specifying the detailed data produced by this basis generation algorithm object.

This is set to eirb.

See also: Greedy.Interface.generated_basis_type

Default: "eirb"

Definition at line 229 of file PODEI.m.

Greedy.Plugin.PODEI.indicator_mode

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

Possible values are: error for an error between the detailed and the reduced computation. estimator for an a posteriori error estimator

Note: This property is an abstract property without implementation.; Matlab documentation of property attributes.; This property has custom functionality when its value is retrieved or changed.

Definition at line 91 of file PODEI.m.

Greedy.Plugin.PODEI.info_fields

static

Initial value:

= {"    \
      'Mmax_small', 'error_differences_for_extension',    \
      'M_by_N_ratio', 'bad_extension_on_explosion',    \
      'maximum_temporary_error_growth_factor', 'discard_last_rb_after_bad_extension',    \
      'skip_rb_after_bad_extension', 'skip_ei_after_bad_extension'    \
        "}

cell array of field names whose values shall be copied to the generated Greedy.DataTree.Detailed.PODEILeafNode instance.

Note: This property has the MATLAB attribute Hidden set to true.; Matlab documentation of property attributes.
Default: {" \ 'Mmax_small', 'error_differences_for_extension', \ 'M_by_N_ratio', 'bad_extension_on_explosion', \ 'maximum_temporary_error_growth_factor', 'discard_last_rb_after_bad_extension', \ 'skip_rb_after_bad_extension', 'skip_ei_after_bad_extension' \ "}

Definition at line 36 of file PODEI.m.

Greedy.Plugin.PODEI.M_by_N_ratio = 0

forced ratio between the sizes of the colletaral and the regular reduced basis space

If the ratio is too low before a basis extension, only the collateral reduced basis space is extended.

Its purpose is to make the collateral reduced basis space more refined than the reduced basis space. This is necessary as the best possible error for the basis generation of the reduced basis space depends on the quality of the collateral reduced basis space.

Default: 0

Definition at line 147 of file PODEI.m.

Greedy.Plugin.PODEI.maximum_temporary_error_growth_factor = 0

maximum factor between the current maximum indicator and the smallest maximum error indicator during previous extensions

See indicate_bad_basis_extension() for details.

Default: 0

Definition at line 176 of file PODEI.m.

Greedy.Plugin.PODEI.Mmax_small

number of collateral reduced of the initial collateral reduced basis.

In order to use the estimator of a nonlinear evolution equation for a basis extension with a greedy search in the parameter space, a collateral reduced basis space for all existing operators needs to be present. For this reason at the beginning of the basis generation algorithm, a collateral reduced bases of size at most Mmax_small is generated

Definition at line 114 of file PODEI.m.

Greedy.Plugin.PODEI.needs_preparation

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

Note: This property has the MATLAB attribute Dependent set to true.; This property is an abstract property without implementation.; Matlab documentation of property attributes.; This property has the MATLAB attribute Dependent set to true.; Matlab documentation of property attributes.; [readonly]

Definition at line 62 of file PODEI.m.

Greedy.Plugin.PODEI.relative_error = "[]"

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

Note: This property is an abstract property without implementation.; Matlab documentation of property attributes.

Default: "[]"

Note: This property has custom functionality when its value is retrieved or changed.

Definition at line 101 of file PODEI.m.

Greedy.Plugin.PODEI.skip_ei_after_bad_extension = false

boolean flag specifying whether the current collateral reduced basis extension should be skipped after a bad extension is indicated by indicate_bad_basis_extension().

See indicate_bad_basis_extension() and basis_extension() for details.

Default: false

Definition at line 214 of file PODEI.m.

Greedy.Plugin.PODEI.skip_rb_after_bad_extension = true

boolean flag specifying whether the current reduced basis extension should be skipped after a bad extension is indicated by indicate_bad_basis_extension().

See indicate_bad_basis_extension() and basis_extension() for details.

Default: true

Definition at line 201 of file PODEI.m.

Greedy.Plugin.PODEI.use_l2_error

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

Otherwise the \(L^{\infty}(\Omega)\)-norm is applied.

Default: true

Note: This property has the MATLAB attribute Dependent set to true.; Matlab documentation of property attributes.

Definition at line 75 of file PODEI.m.

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

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

Detailed Description

Public Member Functions

Public Attributes

Static Public Attributes

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation