Question

Which method of approach is useful for evaluating four noded quadratic elements?

(a) Numerical integration

(b) Penality approach method

(c) Gaussian quadrature approach

(d) Rayleighs method

I got this question by my college professor while I was bunking the class.

Question is from Numerical Integration topic in section Two Dimensional Isoparametric Elements and Numerical Integration of Finite Element Method

Answer 1

Correct option is (c) Gaussian quadrature approach

The explanation is: Gaussian quadrature is to select the n Gauss points and n weights such that provides an exact answer for polynomials f(ξ) of as large ^∼ degree as possible. In other words, the Idea is that if the n-point integration formula is exact for all polynomials up to as high a degree as possible, then the formula will work well even if f is not a polynomial.