Numerical Integration
From KratosWiki
(Difference between revisions)
| Line 5: | Line 5: | ||
:<math>\int_{\lambda_a}^{\lambda_b}\! f(\lambda)\, d\lambda.</math> | :<math>\int_{\lambda_a}^{\lambda_b}\! f(\lambda)\, d\lambda.</math> | ||
| − | where <math>\lambda</math> can be a 1D, 2D or 3D domain. | + | where <math>\lambda \,</math> 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:
where 
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
- 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]
