Detailed Description

scalar Lagrange FE functions on triangular grid

Definition at line 19 of file DefaultInfo.m.

Inheritance diagram for Fem.Lagrange.DefaultInfo:

Collaboration diagram for Fem.Lagrange.DefaultInfo:

Public Member Functions
	DefaultInfo (pdeg,gridbase grid)

function obj2 =	copy ()
	copy constructor More...

function res =	evaluate_basis (lcoord)
	evaluation of all basis functions in local coordinate More...

function res =	evaluate_scalar_basis_derivative (lcoord, unused1)
	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)

function res =	get_dof_ids_global (unused1)
	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...

function p =	plot_dofmap (params)

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...

virtual function this =	set (index, value)
	Sets a child at the given path in the tree hierarchy. 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.ILeafNode
function children =	length ()
	Returns the number of children of the node. More...

function index =	get_index (dummy2, dummy3, dummy)
	Obtains the leaf index vector that best fits the child description given by the three arguments. More...

function this =	set (dummy2,DataTree.INode value)
	Sets a child at the given path in the tree hierarchy. More...

function data =	get (index)
	Access to a child of the current node. More...

function DataTree.ILeafNode node =	get_active_leaf (DataTree.IModel model, id)
	retuns the leaf element for the current IDetailedModel configuration. 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...

Public Attributes
	pdeg

	dimrange = 1

	ndofs

	ndofs_per_element

	grid

	basis_weight_matrix

	global_dof_index
	index vector of global DOFs More...

	dofs_lcoord

	dofs_edges_llcoord

	l2_inner_product_matrix
	weight matrix for \(L^2\) inner product More...

	h10_inner_product_matrix
	weight matrix for \(H^1_0\) inner product More...

	dof_ids_local

	detDF

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...

Member Function Documentation

function obj2 = Fem.Lagrange.DefaultInfo.copy ( )

copy constructor

Return values

obj2 obj2

Definition at line 130 of file DefaultInfo.m.

function res = Fem.Lagrange.DefaultInfo.evaluate_basis ( lcoord )

virtual

evaluation of all basis functions in local coordinate

Parameters

lcoord lcoord

Implements Fem.IFemInfo.

Definition at line 151 of file DefaultInfo.m.

function res = Fem.Lagrange.DefaultInfo.evaluate_basis_function	(	lcoord,
		i
	)

virtual

evaluation of i-th basis function in local coordinate

Parameters

lcoord	lcoord
i	i

Implements Fem.IFemInfo.

Definition at line 161 of file DefaultInfo.m.

function res = Fem.Lagrange.DefaultInfo.evaluate_basis_function_derivative	(	lcoord,
		i
	)

virtual

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

Parameters

lcoord	lcoord
i	i

Implements Fem.IFemInfo.

Definition at line 166 of file DefaultInfo.m.

function res = Fem.Lagrange.DefaultInfo.evaluate_scalar_basis_derivative	(	lcoord,
		ncomp
	)

virtual

evaluation of the gradient of a scalar basis in local coordinate

Parameters

lcoord	lcoord
ncomp	ncomp

Implements Fem.IFemInfo.

Definition at line 156 of file DefaultInfo.m.

function res = Fem.Lagrange.DefaultInfo.get_dof_ids_global ( ncomp )

virtual

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

Parameters

ncomp ncomp

Implements Fem.IFemInfo.

Definition at line 180 of file DefaultInfo.m.

function df = Fem.Lagrange.DefaultInfo.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 185 of file DefaultInfo.m.

Member Data Documentation

Fem.Lagrange.DefaultInfo.detDF

Note: [readonly]

Definition at line 90 of file DefaultInfo.m.

Fem.Lagrange.DefaultInfo.global_dof_index

index vector of global DOFs

Note: This property has non-standard access specifiers: SetAccess = Private, GetAccess = Public; Matlab documentation of property attributes.

Definition at line 46 of file DefaultInfo.m.

Fem.Lagrange.DefaultInfo.h10_inner_product_matrix

weight matrix for \(H^1_0\) inner product

Note: This property has non-standard access specifiers: SetAccess = Private, GetAccess = Public; Matlab documentation of property attributes.

Definition at line 73 of file DefaultInfo.m.

Fem.Lagrange.DefaultInfo.l2_inner_product_matrix

weight matrix for \(L^2\) inner product

Note: This property has non-standard access specifiers: SetAccess = Private, GetAccess = Public; Matlab documentation of property attributes.

Definition at line 62 of file DefaultInfo.m.

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

discfunc/+Fem/+Lagrange/@DefaultInfo/DefaultInfo.m
discfunc/+Fem/+Lagrange/@DefaultInfo/plot_dofmap.m

Detailed Description

Public Member Functions

Public Attributes

Member Function Documentation

Member Data Documentation