# Numerical Integration

(Difference between revisions)
 Revision as of 10:50, 3 November 2009 (view source)JMora (Talk | contribs)← Older edit Revision as of 10:50, 3 November 2009 (view source)JMora (Talk | contribs) Newer edit → Line 7: Line 7: where $\lambda \,$ can be a 1D, 2D or 3D domain. where $\lambda \,$ can be a 1D, 2D or 3D domain. − For our interest in the Finite Element Method, the purpose is to describe how the element matrices can be integrated numerically. + + For our interest in the Finite Element Method, the purpose is '''to describe how the element matrices can be integrated numerically'''.

## Revision as of 10:50, 3 November 2009

Numerical integration refers to all the procedures, algorithms and techniques in the numerical analysis to obtain an approximate solution to a definite integral.

That is, how to obtain a numerical value of:

$\int_{\lambda_a}^{\lambda_b}\! f(\lambda)\, d\lambda.$

where $\lambda \,$ can be a 1D, 2D or 3D domain.

For our interest in the Finite Element Method, the purpose is to describe how the element matrices can be integrated numerically.

## References

1. Carlos A. Felippa, "A compendium of FEM integration formulas for symbolic work", Engineering Computations, Vol. 21 No. 8, 2004, pp. 867-890, (c) Emerald Group Publishing Limited [1]
1. Numerical Integration