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Types of Spectral Elements Used in Fidesys

Base element types Order Finite element types Notes
Spectral quadrilateral (2D)
Number of nodes in an element:
NQUADs = (N+1)2		 III QUADs

IV QUADs
V QUADs
VI QUADs
VII QUADs
VIII QUADs
IX QUADs
Spectral triangle (2D)
Number of nodes in an element:
NTRIs = (N+1)(N+2)/2		 III TRIs
IV TRIs
V TRIs
VI TRIs
VII TRIs
VIII TRIs
IX TRIs
Spectral triangular shells III - IX TRISHELLs  
Spectral quadrangular shells III - IX SHELLs  
Spectral hexahedron
Number of nodes in an element:
NHEXs = (N+1)3		 III HEXs
IV HEXs
V HEXs
VI HEXs
VII HEXs
VIII HEXs
IX HEXs
Spectral tetrahedron
Number of nodes in an element:
NTETRAs = (N+1)(N+2)(N+3)/6		 III TETRAs
IV TETRAs
V TETRAs
VI TETRAs
VII TETRAs
VIII TETRAs
IX TETRAs
Spectral prism
Number of nodes in an element:
NWEDGEs=NTRI(N+1)		 III WEDGEs
IV WEDGEs
V WEDGEs
VI WEDGEs
VII WEDGEs
VIII WEDGEs
IX WEDGEs
Spectral pyramids
Number of nodes in an element:
NPYRaMIDs = (N+1)(N+2)(2N+3)/6		 I - IX PYRAMIDs  
Spectral beams
Number of nodes in an element:
NBEAMs = N+1