PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Hope Shaffer, Chun Liu, Fei Wang.

Title:Stability and monotonicity in the low order discretizations of Biot’s model
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Ludmil Zikatanov, Penn State University
Abstract:
We consider a finite element discretizations of the Biot's model in poroelasticity with lowest order finite elements: MINI element; stabilized P1-P1 element and Crouzeix-Raviart-P0 element. We address the issue related to the presence of non-physical oscillations in the pressure approximations for low permeabilities and/or small time steps. We show that in some cases, even in 1D, Stokes-stable finite element pair does not provide a monotone discretization for low permeabilities. We then introduce a stabilization term which removes the oscillations. We present numerical results confirming the monotone behavior of the stabilized schemes.

Room Reservation Information

Room Number:MB106
Date:02 / 23 / 2015
Time:02:30pm - 03:30pm