Appendix D
Review of Gauss Quadrature Procedure for Numerical Integration
D.1 GENERAL
It was shown in Chapter 7 that integrals, which may need to be evaluated numerically, are of the form
In finite element analysis, ‘Gauss Quadrature’ procedure is used extensively for numerical integration.
D.2 FUNDAMENTAL CONCEPT
Consider a simple curve shown in Figure D.1. Application of trapezoidal rule is shown in Part (a) of the figure to evaluate area under the curve between the limits of a and b. The area of the trapezoid is given by
where ...
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