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What is the number of nodes present on the boundary of the Lagrange quadratic rectangular element used in FEM?

(a) 1

(b) 4

(c) 8

(d) 9

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This intriguing question originated from Library of Elements and Interpolation Functions in section Interpolation Functions, Numerical Integration and Modelling Considerations of Finite Element Method

1 Answer

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Best answer
The correct choice is (c) 8

Explanation: The Lagrange quadratic rectangular element has nine regularly spaced nodes. Four nodes are paced at the four corners, four at midpoints of the sides, and one at the center of the element. Thus, a total of 8 boundary nodes are present. Its associated polynomial has a total of nine terms, including the second degree and third-degree terms.

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