LocalizedOperatorDefault Class Reference

Detailed Description

Definition at line 17 of file LocalizedOperatorDefault.m.

Inheritance diagram for LocalizedOperatorDefault:

Collaboration diagram for LocalizedOperatorDefault:

Public Member Functions
	LocalizedOperatorDefault (fptr)
function [ INC , INCoff ] =	apply (model, model_data, arg, NU_ind)
	compute operator evaluation on argument function for given interpolation DOF indices specified by NU_ind More...
function ipm =	inner_product_matrix (model_data)
	return inner product matrix for range function space \({\cal Wh}\) More...
Public Member Functions inherited from ILocalizedOperator
virtual function [ nmd , eind , eind_local ] =	compute_TM_global (model_data, TM_local)
	computes a subset of restriction DOF indices \(\cup_{m \in T_{M_{\text{local}}}} \hat{{\cal I}}_{M_{\text{ext}}}(m)\) More...

Static Public Member Functions
static function ret_size =	ret_size (model_data, NU_ind)
	returns the length of the return INC value of an apply() method call. More...
static function arg_size =	arg_size (model_data, NU_ind)
	returns the length of the required argument DOF vector for an apply() method call. More...
static function eind =	compute_TM_global (model_data, TM, rmodel)
Static Public Member Functions inherited from ILocalizedOperator
static function eind =	compute_TM_global_vertex (model_data, TM_local)
	Specialization of compute_TM_global() for grid based finite volume operators. More...
static function eind =	compute_TM_global_edge (model_data, TM_local, local_stencil_size)
	Specialization of compute_TM_global() for grid based finite volume operators. More...
static function opdata =	fill_opdata (rmodel,@IDetailedData detailed_data)
	This method can be called during empirical interpolation in order to collect arbitrary data (for example parameter independent or constant data) in a detailed data node. More...
static function opdata =	copy_extract_opdata (opdata_copy, rmodel, Mid)
	Used by a copy constructor of IDetailedData objects which collect operator data with fill_opdata() methods. More...

Static Public Attributes
static const	id = "L_localized"
Static Public Attributes inherited from ILocalizedOperator
static const	id
	a string name specifying the implemented operator More...

Member Function Documentation

function [INC , INCoff ] = LocalizedOperatorDefault.apply (   model,   model_data,   arg,   NU_ind  )

virtual

compute operator evaluation on argument function for given interpolation DOF indices specified by NU_ind

Parameters

arg	the argument function \(u_h \in {\cal V}_h\)
NU_ind	interpolation DOF indices \(\nu_{\text{ind}} \subset \text{range}(\hat{\cal J}_M)\). ( Default: [] meaning \(\{1,\ldots,H\}\) )
model	model
model_data	model data

Return values

INC	vector of DOFs with indices \(\nu_{\text{ind}}\) of an operator evaluation
INCoff	optionally stores the DOFs of a constant part of an operator. This has been added for compatibility with separable affine operators.
J	Jacobian \(D[{\cal L}_h]|_{u_h}\) restricted to the vector of interpolation DOFs. This ought to be a matrix of size \(M_{\text{ext}}\times M\) with \(M_{\text{ext}}:= \text{card}( \cup_{m\in\nu_{\text{ind}}} {\cal J}(m))\).

Implements ILocalizedOperator.

Definition at line 43 of file LocalizedOperatorDefault.m.

static function arg_size = LocalizedOperatorDefault.arg_size (   model_data,   NU_ind  )

staticvirtual

returns the length of the required argument DOF vector for an apply() method call.

This should usually return \(\text{card}( \cup_{m\in\nu_{\text{ind}}} {\cal J}(m))\) or \(H\).

Parameters

NU_ind	interpolation DOF indices \(\nu_{\text{ind}} \subset \text{range}(\hat{\cal J}_M)\). ( Default: [] meaning \(\{1,\ldots,H\}\) )
model_data	model data

Return values

arg_size

length of the required argument DOF vector for an apply() method call.

Implements ILocalizedOperator.

Definition at line 65 of file LocalizedOperatorDefault.m.

function ipm = LocalizedOperatorDefault.inner_product_matrix (   model_data )

virtual

return inner product matrix for range function space \({\cal Wh}\)

Parameters

model_data

model data

Return values

ipm	the inner product matrix of the range function space

Implements ILocalizedOperator.

Definition at line 48 of file LocalizedOperatorDefault.m.

static function ret_size = LocalizedOperatorDefault.ret_size (   model_data,   NU_ind  )

staticvirtual

returns the length of the return INC value of an apply() method call.

This should usually return \(\text{card}(\nu_{\text{ind}})\) or \(H\).

Parameters

NU_ind	interpolation DOF indices \(\nu_{\text{ind}} \subset \text{range}(\hat{\cal J}_M)\). ( Default: [] meaning \(\{1,\ldots,H\}\) )
model_data	model data

Return values

ret_size

length of the return INC value of an apply() method call.

Implements ILocalizedOperator.

Definition at line 57 of file LocalizedOperatorDefault.m.

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

• discfunc/common/LocalizedOperatorDefault.m