3.2 Expansions

This section defines the polynomial expansions used on each of the defined geometric composites. Expansion entries specify the number of modes, the basis type. The short-hand version has the following form


or, if we have more then one variable we can apply the same basis to all using


The expansion basis can also be specified in detail as a combination of one-dimensional bases, and thus the user is able to, for example, increase the quadrature order. For tet elements this takes the form:

2   BASISTYPE="Modified_A,Modified_B,Modified_C" 
3   NUMMODES="3,3,3" 
4   POINTSTYPE="GaussLobattoLegendre,GaussRadauMAlpha1Beta0,GaussRadauMAlpha2Beta0" 
5   NUMPOINTS="4,3,3" 
6   FIELDS="u" />

and for prism elements:

2   BASISTYPE="Modified_A,Modified_A,Modified_B" 
3   NUMMODES="3,3,3" 
4   POINTSTYPE="GaussLobattoLegendre,GaussLobattoLegendre,GaussRadauMAlpha1Beta0" 
5   NUMPOINTS="4,4,3" 
6   FIELDS="u" />