Robust mixed finite element methods for the Biot-Stokes interfacial coupling
Prof. Ricardo Ruiz Baier
Date & Time
31 Jan 2024 (Wed) | 05:00 PM - 06:00 PM
Venue
Online via zoom
Registration Link: https://cityu.zoom.us/meeting/register/tJ0lde2orD0jHtOdnAF33jBFYICyDrwN9zpp
Registration Link: https://cityu.zoom.us/meeting/register/tJ0lde2orD0jHtOdnAF33jBFYICyDrwN9zpp
ABSTRACT
I will discuss discretisations for a fluid-poroelasticity interaction model. A five-field finite element scheme solves for Stokes velocity-pressure and Biot displacement-total pressure-fluid pressure. One of the distinctive features of the formulation is that its stability is established robustly in all material parameters. We propose robust preconditioners for this perturbed saddle-point problem using operators in weighted fractional spaces at the interface. The performance is corroborated by several test cases.