PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Victor Nistor, Jinchao Xu, Stephanie Zerby, Xiantao Li, Yuxi Zheng, Hope Shaffer.

Title:Old and new problems on the discretization of the Stokes equation
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Francisco-Javier Sayas, University of Delaware, Mathematics
In this talk, I will discuss on some results on the Stokes problem. I will first comment on the use of Darcy Boundary Conditions to simulate contact of viscous flow with porous media flow and what are the conditions that the separate discretizations of the Stokes and Darcy equations have to satisfy in order to build a stable numerical scheme. In passing, I will comment on a theoretical problem on the existence of a discrete lifting of the normal trace for the most popular mixed finite element spaces. I will then move on to discuss how exactly divergence free elements (or elements satisfying a certain gap condition) are apparently necessary to tackle simple-minded coupling of finite and boundary elements for Stokes flow. Time permitting, I will comment on new (theoretical and practical) ideas on discretization of time domain Stokes flow.

Room Reservation Information

Room Number:MB106
Date:12 / 07 / 2012
Time:03:35pm - 04:25pm