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In the FEM element library, an eight noded quadrilateral element belongs to which family?

(a) Serendipity

(b) Linear

(c) Simplex

(d) Quadratic

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Enquiry is from Library of Elements and Interpolation Functions in division Interpolation Functions, Numerical Integration and Modelling Considerations of Finite Element Method

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Correct answer is (a) Serendipity

To elaborate: The Serendipity elements are the rectangular elements with intermediate nodes but no interior nodes, i.e., all nodes lie on boundary. Since four nodes of an eight noded quadrilateral element are intermediate nodes, it belongs to the Serendipity family. Simplex and linear elements contain nodes only at endpoints but not at intermediate points. They have linear polynomials as interpolation functions. A quadratic element contains interior nodes.

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