| Speaker: | Panagiotis Chatzipantelidis, University of Crete |
| Title: | Parabolic finite volume element equations in nonconvex polygonal domains |
| Time: | 3:00-4:00 pm |
| Place: | Blocker 628 |
Let $\Omega$ be a bounded plane polygonal domain with at least one reentrant corner. Consider the initial boundary value problem for the heat equation with homogeneous Dirichlet boundary conditions, and semidiscrete and fully discrete approximations of its solution by piecewise linear finite volume elements in space. The purpose is to show known results for the stationary, elliptic, case may be carried over to the time dependent parabolic case. The special feature in a polygonal domain is the presence of singularities in the solutions generated by the corners even when the forcing term is smooth, and which normally causes a reduction of the convergence rate.
Last revised: 09/11/06 By: sgkim@math.tamu.edu