# In FEM, which option is used to develop the Higher-order triangular elements (i.e. triangular elements with interpolation functions of higher degree) systematically?

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In FEM, which option is used to develop the Higher-order triangular elements (i.e. triangular elements with interpolation functions of higher degree) systematically?

(a) Pascal’s triangle

(b) Galerkin method

(c) Jacobi method

(d) Delaunaytriangulation

I have been asked this question in examination.

The question is from Library of Elements and Interpolation Functions topic in chapter Interpolation Functions, Numerical Integration and Modelling Considerations of Finite Element Method

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Right answer is (a) Pascal’s triangle

The best I can explain: The Higher-order triangular elements (also the Lagrange family of triangular elements) can be systematically developed with the help of Pascal’s triangle. Finite element equations are obtained using the Galerkin method. Jacobi is used for eigenvalue problems. The Delaunay method is used to generate mesh for triangular elements.

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