For more information about this meeting, contact Chun Liu.
| Title: | H\"older estimates for Green's functions on convex polyhedral domains and their applications to finite element methods. |
|---|
| Seminar: | CCMA PDEs and Numerical Methods Seminar Series |
|---|
| Speaker: | Dmitriy Leykekhman, UCONN |
|---|
| Abstract: |
|---|
| In this talk I will explain new sharp H\"older type Green's function
estimates for the second order elliptic operator on convex a polyhedral
domain. As an applications of these estimates to finite element methods,
I will derive the best approximation property of the error in
$W^1_{\infty}$ norm. In contrast to previously known results, $W_p^{2}$
regularity for $p>3$, which does not hold for general convex polyhedral
domains, is not required. Furthermore, the new Green's function estimates allow us
to obtain localized error estimates at a point. |
Room Reservation Information
| Room Number: | MB315 |
|---|
| Date: | 04 / 14 / 2008 |
|---|
| Time: | 03:30pm - 04:30pm |
|---|
