报告人/Speaker: 孙澎涛教授 (University of Nevada, Las Vegas)
报告题目/Title: Monolithic Arbitrary Lagrangian-Eulerian Finite Element Method for Moving Interface Problems
时间/Date & Time: 2018年12月10日 (周一），10:00—11:00
报告摘要/Abstract：In this talk, I will present our recent numerical studies for the monolithic arbitrary Lagrangian-Eulerian (ALE) finite element method for dynamic interface problems with moving interfaces/boundaries, and our application achievements for dynamic fluid-structure interaction (FSI) problems. A fully coupled (monolithic) mixed finite element approximation is developed for ALE method to unconditionally stabilize numerical computations for unsteady interface problems without any approximation error on dealing with the interface conditions. In particular, I will present a novel ALE mapping and then a novel ALE finite element method for the parabolic/mixed parabolic interface problem, and eventually towards the dynamic fluid-poroelastic-structure interaction (FPSI) and fluid-structure-poroelastic structure interaction (FSPSI) problems - an important application of this problem is to study how the implantation of a porous vascular stent graft can remedy the cardiovascular diseases in the hemodynamic field. Corresponding stability and optimal convergence analyses are carried out for the newly developed ALE-FEM in semi- and fully discrete scheme. Both affine- and Piola-type ALE mappings play crucial roles in the development of this new method for unsteady interface problems. All theoretical results are validated by numerical experiments as well.
报告人简介/About the speaker:
Dr. Pengtao Sun is Full Professor of Department of Mathematical Sciences in University of Nevada, Las Vegas (UNLV). Dr. Sun obtained his PhD degree from Institute of Mathematics, Chinese Academy of Sciences in 1997. Before joining UNLV in 2007, he worked as Research Scientist, Postdoctoral Fellow, Research Associate and Assistant Professor in Chinese Academy of Sciences, Hong Kong Polytechnic University, Pennsylvania State University and Simon Fraser University. Dr Sun’s primary research fields are Numerical Solutions of Partial Differential Equations, Finite Element Method and Scientific & Engineering Computing with applications to miscellaneous multiphysics problems in the fields of solid mechanics, fluid dynamics, fuel cell dynamics, fluid-structure interactions, hemodynamics, electrohydrodynamics, and etc. Dr. Sun’s research has been continuously supported by National Science Foundation and Faculty Opportunity Awards (UNLV) since 2008. Dr. Sun was the recipient of Distinguished Researcher Award at College of Sciences, UNLV in 2016.