Fem.DiscFunc Class Reference

Detailed Description

represents a continous piecewise polynomial function of arbitrary dimension. Can be used for all finite elements (discrete function information class) implementing IFeminfo (e.g. Fem.Lagrange.DefaultInfo)

\(dofs\) correspond to the values of the nodes. \(df_info\) is an object of discrete function information.

Definition at line 18 of file DiscFunc.m.

Inheritance diagram for Fem.DiscFunc:

Collaboration diagram for Fem.DiscFunc:

Public Member Functions
	DiscFunc (dofs,IFemInfo df_info)
	constructor, dofs possibly [], grid required! More...
function cdf =	get_component (ncomp)
	extraction of component of vectorial fem function ncomp can be vector More...
function p =	plot (params)
	plot as colormap, todo: ids as titles. enhanced subplots More...
function res =	evaluate (einds, lcoord, varargin)
	local evaluate on several elements More...
function res =	evaluate_derivative (einds, lcoord)
	computes the gradient in local coordinate res(:, i, j) is the x_i derivative of the j-th component More...
function res =	l2_norm ()
	computes the l2-norm More...
function res =	h10_norm ()
	computes h10-norm More...
function res =	h1_norm ()
	computes h1-norm More...
function res =	subsref (S)
	This method enables indexation of discrete functions. More...
function cdf =	copy ()
	copy More...
function df3 =	plus (df2)
	addition More...
function df3 =	minus (df2)
	subtraction More...
function df2 =	uminus ()
	negative More...
function df2 =	mtimes (df1)
	multiplication More...

Public Attributes
	pdeg
	polynomial degree
	dimrange
	dimension of range space
::gridbase	grid
	grid
::IFemInfo	df_info
	discrete function information
	dofs
	DOF vector.
	nelements
	number of elements
	ndofs
	number of DOFs
	ndofs_per_element
	number of DOFs per grid element
	dofs_global_coordinate
	global coordinate of DOFs

Constructor & Destructor Documentation

Fem.DiscFunc.DiscFunc	(		dofs,
		IFemInfo	df_info
	)

constructor, dofs possibly [], grid required!

Parameters

dofs	a vector of #df.ndofs global degress of freedom for the discrete function, if ==[] a zero vector is created.
df_info	object describing the structure of the underlying discrete function space

Required fields of df_info:

• pdeg —  polynomial degree of lagrange functions
• dimrange —  dimension of the range
• grid.nelements —  number of overall elements (leaf + nonleaf)
• grid —  grid
• ndofs —  ndofs
• ndofs_per_element —  ndofs per element
• get_global_dof_index —  get global dof index
• dofs_lcoord —  dofs lcoord

Definition at line 113 of file DiscFunc.m.

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Member Function Documentation

function cdf = Fem.DiscFunc.copy

(

)

copy

Return values

cdf

cdf

Definition at line 378 of file DiscFunc.m.

function res = Fem.DiscFunc.evaluate	(		einds,
			lcoord,
			varargin
	)

local evaluate on several elements

Parameters

einds	einds
lcoord	lcoord
varargin	varargin

Return values

res

res

Definition at line 214 of file DiscFunc.m.

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function res = Fem.DiscFunc.evaluate_derivative	(		einds,
			lcoord
	)

computes the gradient in local coordinate res(:, i, j) is the x_i derivative of the j-th component

Parameters

einds	einds
lcoord	lcoord

Return values

res

res

Definition at line 250 of file DiscFunc.m.

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function cdf = Fem.DiscFunc.get_component

(

ncomp

)

extraction of component of vectorial fem function ncomp can be vector

Parameters

ncomp

ncomp

Return values

cdf

cdf

Definition at line 156 of file DiscFunc.m.

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function res = Fem.DiscFunc.h10_norm

(

)

computes h10-norm

Return values

res

res

Definition at line 311 of file DiscFunc.m.

function res = Fem.DiscFunc.h1_norm

(

)

computes h1-norm

Return values

res

res

Definition at line 330 of file DiscFunc.m.

function res = Fem.DiscFunc.l2_norm

(

)

computes the l2-norm

Return values

res

res

Definition at line 292 of file DiscFunc.m.

function df3 = Fem.DiscFunc.minus

(

df2

)

subtraction

Parameters

df2

df2

Return values

df3

df3

Required fields of df2:

• dofs —  dofs

Generated fields of df3:

• dofs —  dofs

Definition at line 411 of file DiscFunc.m.

function df2 = Fem.DiscFunc.mtimes

(

df1

)

multiplication

Parameters

df1

df1

Return values

df2

df2

Required fields of df1:

• df_info —  df info
• dofs —  dofs

Generated fields of df2:

• dofs —  dofs

Definition at line 448 of file DiscFunc.m.

function p = Fem.DiscFunc.plot

(

params

)

plot as colormap, todo: ids as titles. enhanced subplots

Parameters

params

params

Return values

p

p

Required fields of params:

• title —  title

Definition at line 173 of file DiscFunc.m.

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function df3 = Fem.DiscFunc.plus

(

df2

)

addition

Parameters

df2

df2

Return values

df3

df3

Required fields of df2:

• dofs —  dofs

Generated fields of df3:

• dofs —  dofs

Definition at line 390 of file DiscFunc.m.

function res = Fem.DiscFunc.subsref

(

S

)

This method enables indexation of discrete functions.

redirects arguments to evaluate function, so

df(einds, lcoord) == df.evaluate(einds, lcoord)

Parameters

S

S

Return values

res

res

Required fields of S:

• subs —  subs

Definition at line 350 of file DiscFunc.m.

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function df2 = Fem.DiscFunc.uminus

(

)

negative

Return values

df2

df2

Generated fields of df2:

• dofs —  dofs

Definition at line 432 of file DiscFunc.m.

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

• discfunc/+Fem/DiscFunc.m