##### Department of Mathematics,

University of California San Diego

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### Math 295 - Mathematics Colloquium

## Ludmil Zikatanov

#### Penn State University

## Stability and monotonicity in the low order discretizations of Biot's model of poroelasticity

##### Abstract:

We consider a finite element discretizations of the Biot's model in poroelasticity with lowest order (MINI and stabilized P1-P1) elements. We show convergence of discrete schemes which are implicit in time and use these types of elements in space. We also address the issue related to the presence of non-physical oscillations in the pressure approximations for low permeabilities and/or small time steps and present numerical results confirming the monotone behavior of two stabilized schemes. This is a joint work with Carmen Rodrigo, Francisco Gaspar (Univ. Zaragoza) and Xiaozhe Hu (Tufts).

Hosts: Randy Bank, Philip Gill, Mike Holst

### October 29, 2015

### 11:00 AM

### AP&M 2402

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