femdiscfunc Class Reference

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Detailed Description

class femdiscfunc 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 1 of file femdiscfunc.m.

Collaboration diagram for femdiscfunc:

List of all members.

Public Member Functions
	femdiscfunc ( dofs, feminfo df_info)
	constructor, dofs possibly [], grid required!
function sdf =	scalar_component ( ncomp)
	extraction of component of vectorial fem function
function p =	plot ( params)
	plot as colormap
function p =	plot_dofmap ( params)
	plot as colormap
function res =	evaluate ( einds, lcoord, dummy1, dummy2)
	plot as colormap
function res =	subsref ( S)
	This method enables indexation of discrete functions.
function cdf =	copy ()
	copy
function df3 =	plus ( df2)
	addition
function df3 =	minus ( df2)
	subtraction
function df2 =	uminus ()
	negative
function df2 =	mtimes ( df1)
	multiplication
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

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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 115 of file femdiscfunc.m.

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Member Function Documentation

function cdf = femdiscfunc.copy

(

)

copy

Return values:

cdf

cdf

Definition at line 244 of file femdiscfunc.m.

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 195 of file femdiscfunc.m.

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 275 of file femdiscfunc.m.

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 310 of file femdiscfunc.m.

function p = femdiscfunc.plot

(

params

)

plot as colormap

Parameters:

params

params

Return values:

p

p

Definition at line 165 of file femdiscfunc.m.

function p = femdiscfunc.plot_dofmap

(

params

)

plot as colormap

Parameters:

params

params

Return values:

p

p

Definition at line 180 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 256 of file femdiscfunc.m.

function sdf = femdiscfunc.scalar_component

(

ncomp

)

extraction of component of vectorial fem function

Parameters:

ncomp

ncomp

Return values:

sdf

sdf

Definition at line 151 of file femdiscfunc.m.

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 212 of file femdiscfunc.m.

function df2 = femdiscfunc.uminus

(

)

negative

Return values:

df2

df2

Generated fields of df2:

• dofs —  dofs

Definition at line 294 of file femdiscfunc.m.

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

• discfunc/fem/femdiscfunc.m