0
$\begingroup$

From the finite element theory, what is remained a bit unclear for me, is that how do we know the location of gausian points where the integration is done for each specific type of element ? it is not indicated in many FEM books, but if someone could explain it here , it would be fantastic

$\endgroup$
  • $\begingroup$ See en.wikipedia.org/wiki/…. The Gauss points are called Gauss nodes in the article. They are the $i$-th roots of the associated Legendre polynomials in [-1,1]. Isoparametric assumptions are used to convert fom [-1,1] to arbitrary coordinate ranges. $\endgroup$ – Biswajit Banerjee Sep 7 '19 at 22:04
0
$\begingroup$

As far as I know the location of integration points is governed by numerical method used for integration. I know only one method of numerical integration, Gauss Quadrature. For details of Gauss Quadrature, please see Wikipedia article or Introduction to Finite Element Method by J.N. Reddy.

| improve this answer | |
$\endgroup$
2
$\begingroup$

If you are using standard Gauss quadrature, from the formulation, you determine the coefficients (weights of Gauss location) and their locations. You cannot arbitrarily decide their locations. Here are some examples: http://edwilson.org/BOOK-Wilson/G-inter.pdf

| improve this answer | |
$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.