2024.06.05, 10AM
A.S.T.C 615 연세대학교 첨단관 615호
Assistant Professor, Baylor University
title:
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 present 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 HDG methods give numerical solutions which preserve many important physical quantities such as the compressibilities of fluid and poroelastic matrix, and the fluid mass in poroelastic domain.
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 collaborator
Organizer Eun-Jae Park ejpark@yonsei.ac.kr
4단계 BK21 연세대학교 수리과학 및 계산 교육연구단
YONSEI Mathematical Sciences and Computation