fem_global_dof_index.m File Reference

function computing the local-to-global dof map of a fem discrete function More...

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Functions
function global_dof_index =	fem_global_dof_index (params,triagrid grid)
	function computing the local-to-global dof map of a fem discrete function More...

Detailed Description

function computing the local-to-global dof map of a fem discrete function

Definition in file fem_global_dof_index.m.

Function Documentation

function global_dof_index = fem_global_dof_index	(		params,
		triagrid	grid
	)

function computing the local-to-global dof map of a fem discrete function

gid = 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 dof indices 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.

Parameters

params	params
grid	an object

Return values

global_dof_index

global dof index

Required fields of params:

• pdeg —  pdeg
• dimrange —  dimrange

Required fields of grid:

• nelements —  number of elements
• VI —  matrix of vertex indices: VI(i,j) is the global index of the j-th vertex of element i
• nvertices —  number vertices
• NBI —  NBI

Definition at line 17 of file fem_global_dof_index.m.

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