| | Mechanics of Solids: Finite elements 101 (Site not responding. Last check: 2007-11-06) |
 | | The basic principle behind the finite element method is evidently exceedingly simple. The key to its success is to devise an implementation that minimizes the computational cost associated with calculating and storing the stiffness matrix, and solving the resulting system of linear equations. |
 | | Within each element, we interpolate the displacement field through the nodes on that element only. So, we would use a linear interpolation between the nodes on a 2-noded element, a quadratic interpolation between the nodes on a 3 noded element, and so on. |
 | | Generic linear and quadrilateral 1-D elements are illustrated below. The local nodes on the element are numbered 1 and 2 for the linear element, and 1,2,3 for the quadratic element as shown. We suppose that the element lies in the region |
| www.engin.brown.edu /courses/En222/Notes/FEMtheory/FEMtheory.htm (2672 words) |