Analysis and Applied Mathematics Seminar
Jeonghun Lee
Baylor University
Robust finite element methods for poroelasticity and its coupled equations
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.
Monday April 14, 2025 at 4:00 PM in 636 SEO