femdiscfunc Class Reference

Detailed Description

class representing a continous piecewise polynomial function of arbitrary dimension. DOFS correspond to the values of Lagrange-nodes.

global_dof_index(elid,lagrange_node) yields the global index of the first dof of the basis function corresponding to the given Lagrange node and element elid. gid:(gid+dimrange-1) are the subsequent dofs of the vectorial function in the lagrange node. first all dofs in nodes are counted, then all dofs in element interior, then the dofs on edge-interiors.

The Lagrange nodes l_1,...,l_m with m=0.5*(pdeg+1)*(pdeg+2)

are sorted in the following order

       l_m = v_3
       *
       |\
       | \
       |  \
       *   *
       |    \
       |     \
       |______\
       *   *   *
 v_1 = l_1      v_2 = l_(pdeg+1)

where v_1, v_2, v_3 denote the sorting of the triangles corners.

Definition at line 17 of file femdiscfunc.m.

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Public Member Functions
	femdiscfunc (dofs,feminfo df_info)
	constructor, dofs possibly [], grid required! More...
function sdf =	scalar_component (ncomp)
	extraction of component of vectorial fem function More...
function p =	plot (params)
	plot as colormap More...
function p =	plot_dofmap (params)
	plot as colormap More...
function res =	evaluate (einds, lcoord, dummy1, dummy2)
	plot as colormap 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
::feminfo	df_info
	discrete function information
	dofs
	DOF vector.
	nelements
	dependent variables: number of elements
	ndofs
	number of DOFs
	ndofs_per_element
	number of DOFs per grid element
	global_dof_index
	the global dof index

Constructor & Destructor Documentation

femdiscfunc.femdiscfunc	(		dofs,
		feminfo	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
• global_dof_index —  global dof index

Definition at line 131 of file femdiscfunc.m.

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Member Function Documentation

function cdf = femdiscfunc.copy

(

)

copy

Return values

cdf

cdf

Definition at line 260 of file femdiscfunc.m.

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function res = femdiscfunc.evaluate	(		einds,
			lcoord,
			dummy1,
			dummy2
	)

plot as colormap

description of evaluate function

Parameters

einds	einds
lcoord	lcoord
dummy1	dummy1
dummy2	dummy2

Return values

res

res

Definition at line 213 of file femdiscfunc.m.

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function df3 = femdiscfunc.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 291 of file femdiscfunc.m.

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function df2 = femdiscfunc.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 326 of file femdiscfunc.m.

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function p = femdiscfunc.plot

(

params

)

plot as colormap

Parameters

params

params

Return values

p

p

Definition at line 181 of file femdiscfunc.m.

function p = femdiscfunc.plot_dofmap

(

params

)

plot as colormap

Parameters

params

params

Return values

p

p

Definition at line 197 of file femdiscfunc.m.

function df3 = femdiscfunc.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 271 of file femdiscfunc.m.

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function sdf = femdiscfunc.scalar_component

(

ncomp

)

extraction of component of vectorial fem function

Parameters

ncomp

ncomp

Return values

sdf

sdf

Definition at line 166 of file femdiscfunc.m.

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function res = femdiscfunc.subsref

(

S

)

This method enables indexation of discrete functions.

redirects arguments to evalute function, so

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

Parameters

S

S

Return values

res

res

Required fields of S:

• subs —  subs

Definition at line 231 of file femdiscfunc.m.

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function df2 = femdiscfunc.uminus

(

)

negative

Return values

df2

df2

Generated fields of df2:

• dofs —  dofs

Definition at line 311 of file femdiscfunc.m.

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

• discfunc/fem/femdiscfunc.m