Question: 2 . ( 2 0 points ) Derive a set of shape functions associated with nodes ( 2 , 1 0 , 1 2

2 . (20

points

)

Derive a set of shape functions associated with nodes

\ (2, 10, 12 \)

for the

12

node

(

quadraticcubic

)

Lagrangian element that satisfies the

\ (

^{0} \)

inter

-

element continuity requirements. The unknowns in the formulation are to be the values of the function at the node points. Note that the element is a bi

-

unit square and nodes are equally spaced in the two coordinate directions.

2 . ( 2 0 points ) Derive a set of shape

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