Fem.CompositeFunctionSpace Class Reference

Detailed Description

Composite function space for composition of FE function spaces on same grid.

Definition at line 18 of file CompositeFunctionSpace.m.

Inheritance diagram for Fem.CompositeFunctionSpace:

Collaboration diagram for Fem.CompositeFunctionSpace:

Public Member Functions
	CompositeFunctionSpace (varargin)
	Constructor. More...
function this =	set (index, value)
	Sets a child at the given path in the tree hierarchy. More...
function	consistency_check ()
	grids have to be identical
function res =	evaluate_basis (lcoord)
	evaluation of all basis functions in local coordinate More...
function res =	evaluate_scalar_basis_derivative (lcoord, ncomp)
	evaluation of the gradient of a scalar basis in local coordinate More...
function res =	evaluate_basis_function (lcoord, i)
	evaluation of i-th basis function in local coordinate More...
function res =	evaluate_basis_function_derivative (lcoord, i)
	evaluation of the gradient of i-th basis function in local coordinate More...
function res =	get_global_dof_index (varargin)
	returns entries of global-dof-map for several elements and several local dof ids More...
function res =	get_dof_ids_global (ncomp)
	returns global dof ids belonging to one component (indices into DOF-vector) More...
function df =	interpol_local (func, params)
	returns an instance of Fem.DiscFunc which interpolates the given analytical function, that can be evaluated at (grid,elinds,lcoord,params) More...
Public Member Functions inherited from Fem.IFemInfo
virtual function	get_global_dof_index (einds, gids)
	returns entries of global-dof-map for several elements and several local dof ids More...
function df =	interpol_global (func, params)
	interpolates a given analytical function that can be evaluated at (glob, params) More...
Public Member Functions inherited from DataTree.INode
virtual function DataTree.INode tree =	create_tree (DataTree.ICreator creator, ids, mu_cube, tslice, basepath)
	Creates a new tree from a subtree specified by ids, parameter and time index regions. More...
function	leaf_func (funcptr, ids, mu_cube, tslice)
	applies a function to all leafs of a DataTree More...
function tree =	create_scalar_tree (funcptr, ids, mu_cube, tslice)
	copies the current trees with different leafs. These leafs are computes by a function returning scalar values. More...
function start_index =	traverse_start ()
	Start iterator for a full traverse of the DataTree. More...
function next_index =	traverse_next (this_index)
	iterator for a full traverse of the DataTree. More...
function description =	get_active_leaf_description (IModel model, ids)
	returns an enumeration of all leaves' basepath index vectors with a description of their parents. More...
function description =	get_leaf_description (ids, mu_cube, tslice)
	returns an enumeration of all leaves' basepath index vectors with a description of their parents. More...
function tstop =	index_valid_till (index)
	Returns the last valid time step index of a time slice. More...
function INode data =	get_by_description (id, mu, nt)
	A combination of get_index() and get() More...
function active_leaf_index =	get_active_leaf_index (IModel model, id)
	retuns the leaf element index for the current IDetailedModel configuration. More...
function DataTree.LeafNode active_leaf =	get_active_leaf (IModel model, id)
	retuns the leaf element for the current IDetailedModel configuration. More...
function	display (fn, basepath, name)
	overwrites the standard display method for DataTree objects More...
function lines =	disp_node (basepath, fn)
	returns a cell array of strings with information on the node. More...
Public Member Functions inherited from DataTree.IdMapNode
	IdMapNode (idmap, initvalues, mergefun)
	constructor for an IdMapNode mapping the children nodes with "Id" tags. More...
function data =	get (index)
	Access to a child of the current node. More...
function index =	get_index (id, mu, nt)
	Obtains the leaf index vector that best fits the child description given by the three arguments. More...
function tree =	create_tree (creator, ids, mu_cube, tslice, basepath)
	Creates a new tree from a subtree specified by ids, parameter and time index regions. More...
function this =	set (i, value, mergefun)
	sets a new value at a specific child branch More...
function scalar =	scalar (mergefun)
	reduces the data tree values with help of the mergefun More...
function ids =	get_all_ids ()
	returns all "Id" strings in this IdMapNode. More...
function st =	get_flat_struct ()
	makes a struct from the data tree with field names equal to the "Id" names. More...
function str =	num2str ()
	converts the data tree into a string More...
function this =	minus (scalar)
	substracts a scalar from each of the values in the data tree. More...
function	display ()
	prints out a string representation of the data tree.
Public Member Functions inherited from DataTree.DefaultNode
function children =	length ()
	Returns the number of children of the node. More...
function this =	set (index, value)
	Sets a child at the given path in the tree hierarchy. More...

Public Attributes
	pdeg
	polynomial degree, possibly vector of dimrange > 1 More...
	dimrange
	dimension of range space More...
	ndofs
	number of DOFs More...
	ndofs_per_element
	number of DOFs per grid element More...
gridbase	grid
	grid More...
	detDF
	determinant of reference mapping More...
	dofs_lcoord
	dofs_edges_llcoord
	l2_inner_product_matrix
	h10_inner_product_matrix
	dof_ids_local
	a cell array of length dimrange, i-th entry is a 1 x ndofs_per_element(dimrange=i) matrix More...
	nelements
	number of grid cells More...
Public Attributes inherited from Fem.IFemInfo
	pdeg
	polynomial degree More...
	dimrange
	dimension of range space More...
	ndofs
	number of DOFs More...
	ndofs_per_element
	number of DOFs per grid element More...
	dof_ids_local
	a (dimrange x number of scalar basis functions) matrix More...
gridbase	grid
	grid More...
	detDF
	determinant of reference mapping More...
Public Attributes inherited from DataTree.IdMapNode
	idmap
	cell array of "Id" strings More...
Public Attributes inherited from DataTree.DefaultNode
	values = "[]"
	cell array of DataTree.INode elements, holding the childrens of this DataTree.INode. More...

Additional Inherited Members
Static Public Member Functions inherited from DataTree.IdMapNode
static function flatca =	flatten_cell_array (ca)
	flattens a cell array, i.e. returns a cell without cell entries which are cell arrays by itself. More...
static function idname =	name_from_idmap (idmap)
	creates a string representation of an "Id"-map More...
Static Public Attributes inherited from DataTree.IdMapNode
static const	data_node_type = "IdMap"
	Data node type identifier. More...

Constructor & Destructor Documentation

Fem.CompositeFunctionSpace.CompositeFunctionSpace

(

varargin

)

Constructor.

Parameters

varargin

either parameters for IdMapNode constructor or list of function spaces following id-strings: (df1, id1, df2, id2, ...)

Definition at line 159 of file CompositeFunctionSpace.m.

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Member Function Documentation

function res = Fem.CompositeFunctionSpace.evaluate_basis (   lcoord )

virtual

evaluation of all basis functions in local coordinate

Parameters

lcoord

lcoord

Return values

res

res

Implements Fem.IFemInfo.

Definition at line 354 of file CompositeFunctionSpace.m.

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function res = Fem.CompositeFunctionSpace.evaluate_basis_function (   lcoord,   i  )

virtual

evaluation of i-th basis function in local coordinate

Parameters

lcoord	lcoord
i	i

Return values

res

res

Implements Fem.IFemInfo.

Definition at line 388 of file CompositeFunctionSpace.m.

function res = Fem.CompositeFunctionSpace.evaluate_basis_function_derivative (   lcoord,   i  )

virtual

evaluation of the gradient of i-th basis function in local coordinate

Parameters

lcoord	lcoord
i	i

Return values

res

res

Implements Fem.IFemInfo.

Definition at line 405 of file CompositeFunctionSpace.m.

function res = Fem.CompositeFunctionSpace.evaluate_scalar_basis_derivative (   lcoord,   ncomp  )

virtual

evaluation of the gradient of a scalar basis in local coordinate

Parameters

lcoord	lcoord
ncomp	ncomp

Return values

res

res

Implements Fem.IFemInfo.

Definition at line 372 of file CompositeFunctionSpace.m.

function res = Fem.CompositeFunctionSpace.get_dof_ids_global (   ncomp )

virtual

returns global dof ids belonging to one component (indices into DOF-vector)

Parameters

ncomp

ncomp

Return values

res

res

Implements Fem.IFemInfo.

Definition at line 458 of file CompositeFunctionSpace.m.

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function res = Fem.CompositeFunctionSpace.get_global_dof_index

(

varargin

)

returns entries of global-dof-map for several elements and several local dof ids

Parameters

varargin

varargin

Return values

res

res

Definition at line 425 of file CompositeFunctionSpace.m.

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function df = Fem.CompositeFunctionSpace.interpol_local (   func,   params  )

virtual

returns an instance of Fem.DiscFunc which interpolates the given analytical function, that can be evaluated at (grid,elinds,lcoord,params)

Parameters

func	func
params	params

Implements Fem.IFemInfo.

Definition at line 478 of file CompositeFunctionSpace.m.

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function this = Fem.CompositeFunctionSpace.set (   index,   value  )

virtual

Sets a child at the given path in the tree hierarchy.

Usually this method is used to set a leaf data node with attached data.

Parameters

index	the path index where the node shall be injected
value	the node that shall be attached as a child

Return values

this	the modified DataTree node.

Implements DataTree.INode.

Definition at line 199 of file CompositeFunctionSpace.m.

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Member Data Documentation

Fem.CompositeFunctionSpace.detDF

determinant of reference mapping

Note

This property has the MATLAB attribute Dependent set to true.

This property has non-standard access specifiers: SetAccess = Private, GetAccess = Public

Matlab documentation of property attributes.

[readonly]

Definition at line 92 of file CompositeFunctionSpace.m.

Fem.CompositeFunctionSpace.dimrange

dimension of range space

sum of children dimensions

Note

This property has the MATLAB attribute Dependent set to true.

This property has non-standard access specifiers: SetAccess = Private, GetAccess = Public

Matlab documentation of property attributes.

[readonly]

Definition at line 44 of file CompositeFunctionSpace.m.

Fem.CompositeFunctionSpace.dof_ids_local

a cell array of length dimrange, i-th entry is a 1 x ndofs_per_element(dimrange=i) matrix

Note

This property has non-standard access specifiers: SetAccess = Private, GetAccess = Public

Matlab documentation of property attributes.

Definition at line 116 of file CompositeFunctionSpace.m.

Fem.CompositeFunctionSpace.dofs_edges_llcoord

Note

[readonly]

Definition at line 106 of file CompositeFunctionSpace.m.

Fem.CompositeFunctionSpace.dofs_lcoord

Note

[readonly]

Definition at line 104 of file CompositeFunctionSpace.m.

Fem.CompositeFunctionSpace.grid

grid

Note

This property has the MATLAB attribute Dependent set to true.

This property has non-standard access specifiers: SetAccess = Private, GetAccess = Public

Matlab documentation of property attributes.

[readonly]

Definition at line 80 of file CompositeFunctionSpace.m.

Fem.CompositeFunctionSpace.h10_inner_product_matrix

Note

[readonly]

Definition at line 110 of file CompositeFunctionSpace.m.

Fem.CompositeFunctionSpace.l2_inner_product_matrix

Note

[readonly]

Definition at line 108 of file CompositeFunctionSpace.m.

Fem.CompositeFunctionSpace.ndofs

number of DOFs

sum of ndofs of children

Note

This property has the MATLAB attribute Dependent set to true.

This property has non-standard access specifiers: SetAccess = Private, GetAccess = Public

Matlab documentation of property attributes.

[readonly]

Definition at line 56 of file CompositeFunctionSpace.m.

Fem.CompositeFunctionSpace.ndofs_per_element

number of DOFs per grid element

sum of ndofs_per_element of children

Note

This property has the MATLAB attribute Dependent set to true.

This property has non-standard access specifiers: SetAccess = Private, GetAccess = Public

Matlab documentation of property attributes.

[readonly]

Definition at line 68 of file CompositeFunctionSpace.m.

Fem.CompositeFunctionSpace.nelements

number of grid cells

Note

This property has non-standard access specifiers: SetAccess = Private, GetAccess = Public

Matlab documentation of property attributes.

Definition at line 127 of file CompositeFunctionSpace.m.

Fem.CompositeFunctionSpace.pdeg

polynomial degree, possibly vector of dimrange > 1

concatenate pdegs

Note

This property has the MATLAB attribute Dependent set to true.

This property has non-standard access specifiers: SetAccess = Private, GetAccess = Public

Matlab documentation of property attributes.

[readonly]

Definition at line 32 of file CompositeFunctionSpace.m.

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

• discfunc/+Fem/CompositeFunctionSpace.m