PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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