| Speaker: | Roland Glowinski, University of Houston |
| Title: | On the numerical solution of a two-dimensional Pucci's equation with Dirichlet boundary condistions: a least square approach |
| Time: | 3:00-4:00 pm |
| Place: | Blocker 628 |
In this lecture we will discuss the numerical solution of a two-dimensional, fully nonlinear elliptic equation of the Pucci’s type, completed by Dirichlet boundary conditions. The solution method relies on a least-squares formulation taking place in a subset of H2 × Q, where Q is the space of the 2 × 2 symmetric tensor-valued functions with components in L2. After an appropriate space discretization, the resulting finite dimensional problem is solved by an iterative method operating alternatively in the spaces Vh and Qh approximating H2 and Q, respectively. The results of numerical experiments will be presented; they validate the methodology to be discussed in this lecture.
Last revised: 01/03/06 By: sgkim@math.tamu.edu