| Speaker: | Paul Cizmas, Department of Aerospace Engineering, Texas A&M University |
| Title: | A Method for the Numerical Solution of Boundary Value Problems Ordinary Differential Equations |
| Time: | 3:00-4:00 pm |
| Place: | Blocker 628 |
A methodology is presented for the numerical solution of boundary value problems ordinary differential equations. The differential equations are discretized by using finite elements, similar to the finite element method. An important feature of the method we propose is the strategy developed for eliminating unknowns inside the element by using the relations provided by the governing equations. This methodology allows the decoupling of the solution accuracy from the number of unknowns per element. It is shown herein that the discretized solution has the same number of unknowns, whether the local approximation (or interpolation) function is a third-degree or a nineteen-degree polynomial. The implication of this result is that higher-degree interpolation functions can be used without increasing the number of unknowns. For a specified accuracy, the usage of elements with high-degree interpolation functions leads to a reduction in the necessary number of elements, which results in a reduction of the computational time.
Last revised: 11/6/06 By: christov@math