This documentation follows the following notation or naming conventions:

  • coordinates inside a reference frame are noted $\hat{x}, \hat{y}$ or $\xi, \eta$ while coordinates in the physical frame are noted $x,y$
  • when talking about a mapping, $F$ or sometimes $F_{rp}$ designates the mapping from the reference element to the physical element. On the other side, $F^{-1}$ or sometimes $F_{pr}$ designates the physical element to the reference element mapping.
  • "dof" means "degree of freedom"