ABSTRACT

Node 0 in element (I) corresponds to node 3 in the basic element. Thus, the element equation corresponding to node 3, Eq. (l2.166c), is part of the nodal equation for node O. Renumbering the function values in Eq. (12.166c) to correspond to the nodes in Figure 12.16b yields:

(l2.167a)

Repeating the process for elements (2) to (4) show that Eq. (l2.166d) corresponds to element (2), Eq. (12.166a) corresponds to element (3), and Eq. (l2.166b) corresponds to element (4). Renumbering the function values in those equations to agree with the node numbers in Figure 12.16 yields the remaining three element equations corresponding to node O.