Code covered by the BSD License

# FELICITY

### Shawn Walker (view profile)

21 Apr 2011 (Updated )

Finite ELement Implementation and Computational Interface Tool for You

Elem4_3D_Test()
```function Elem = Elem4_3D_Test()
%Elem4_3D_Test
%
%   This defines a finite element for testing the DoF allocation code.

% Copyright (c) 05-29-2013,  Shawn W. Walker

% name it!
Elem.Name = 'Elem4_Test';

% continuous galerkin space
Elem.Type = 'CG';

% intrinsic dimension and domain
Elem.Dim    = 3;
Elem.Domain = 'tetrahedron';

% basis function definitions
% note: there can be more than one set of basis functions if this is a
% vectorized element (i.e. velocity and pressure).
Elem.Basis.Func =...
{{'1 - x - y - z'};
{'x'};
{'y'};
{'x'};
{'y'};
{'z'};
{'1 - x - y - z'};
{'x'};
{'y'};
{'x'};
{'y'};
{'z'};
{'1 - x - y - z'};
{'x'};
{'y'};
{'1 - x - y - z'}};
%

% nodal variables (dual basis)
% note: there can be more than one set of nodal variables (see above)
% barycentric coordinates (point evaluation)
Elem.Nodal_Var.Type  = 'point evaluation';
Elem.Nodal_Var.Basis =...
{{'phi'}, [1,0,0,0];
{'phi'}, [0,1,0,0];
{'phi'}, [0,0,1,0];
{'phi'}, [0,0,0,1];
{'phi'}, [0,1,0,0];
{'phi'}, [1,0,0,0];
{'phi'}, [0,1,0,0];
{'phi'}, [0,0,1,0];
{'phi'}, [0,0,0,1];
{'phi'}, [0,1,0,0];
{'phi'}, [1,0,0,0];
{'phi'}, [0,1,0,0];
{'phi'}, [0,1,0,0];
{'phi'}, [0,0,1,0];
{'phi'}, [0,0,0,1];
{'phi'}, [0,0,0,1]};
%

%%%%% nodal (topological) arrangement
% note: there can be more than one set of nodal variables (see above)

% nodes attached to vertices
Elem.Nodal_Top.V = {[]};

% nodes attached to (directed) edges
Elem.Nodal_Top.E = {[]};

% nodes attached to (triangles) faces
Elem.Nodal_Top.F = {[ 1  2  3;
4  5  6;
7  8  9;
10 11 12],...
[13;
14;
15;
16]};
%

% nodes attached to tetrahedra
Elem.Nodal_Top.T = {[]}; %

end```