Jeonghun Lee : Robust finite element methods for poroelasticity and its coupled equations

Posted by Christof Sparber , part of the Analysis and Applied Mathematics Seminar.

At

April 14, 2025, 4 p.m.

In

636 SEO

Abstract

Poroelasticity equations arise from many applications in geophysics and biomechanics, so numerical simulations of poroelasticity equations are of great interest. In this talk I discuss advanced finite element methods for poroelasticity and related problems. In the first part, I introduce parameter-robust discretization of poroelasticity and explain that efficient preconditioners can be obtained by the operator preconditioning approach. In the second part, I present hybridizable discontinuous Galerkin (HDG) methods for the problems that Stokes/Navier-Stokes equations and porous/poroelastic equations are coupled with interfaces. The talk is based on joint works with K.-A. Mardal (University of Oslo), M. E. Rognes (Simula Research Laboratory), A. Cesmelioglu (Oakland University) S. Rhebergen (University of Waterloo), and other collaborators.