报告人：孙澎涛 教授（University of Nevada）

报告人简介：Dr. Pengtao Sun is a Professor of Mathematics at University of Nevada Las Vegas. Dr. Sun obtained his PhD from Institute of Mathematics, Chinese Academy of Sciences and his Master and Bachelor degree from Shandong University. Before joining UNLV in 2007, he worked as Postdoctoral Fellow, Research Associate, and Assistant Professor at Hong Kong Polytechnic University, Pennsylvania State University, and Simon Fraser University. After he joined UNLV, Dr. Sun had ever been a Visiting Professor in Pennsylvania State University,  Hong Kong University of Science and Technology, Beijing University, Tongji University and Beijing University of Technology.Dr. Pengtao Sun's primary research fields are Numerical Solutions of Partial Differential Equations, Numerical Analysis, Finite Element Method, Finite Volume Method, Fast Solver, and Scientific and Engineering Computing with applications to solid mechanics, fluid dynamics, fluid-structure interaction, hydrodynamics, hemodynamics, aerodynamics, astrophysics, electro-hydrodynamics, fuel cell dynamics, and etc. Dr. Sun's research work have been supported by NSF since 2009 and by UNLV Faculty Opportunity Award since 2008. Dr. Pengtao Sun's recent research interests focus on the modeling and numerical studies of fluid and structure interaction problems, including Arbitrary Lagrangian-Eulerian (ALE) method, Fictitious Domain method and full Eulerian method; modeling and efficient numerical methodologies of fuel cell dynamics, solar cell dynamics, lithium battery and other types of clean energy technologies. Dr. Sun is also accomplished in anisotropic & isotropic adaptive finite element method, phase field method, and domain decomposition method.

报告题目:Numerical Methodology for Moving Interface Problems and Applications to Fluid-Structure Interactions (FSI)

4.1 Applications to FSI problems in hydrodynamics and hemodynamics

4.2 ALE-FEM for a dynamic FSI problem

4.3 Algorithm development for a hydrodynamic FSI problem involving a rotating elastic turbine

4.4 Algorithm development for a hemodynamic FSI problem involving multiple structure materials in the cardiovascular environment

报告摘要:In this series of lectures, I will present our recent numerical methodology studies for unsteady moving interface problems and applications to dynamic fluid-structure interaction (FSI) problems. Numerical methodologies to be discussed include the body-fitted mesh method—arbitrary Lagrangian-Eulerian(ALE) method and the body-unfitted mesh method—fictitious domain(FD) method. Both methods are popular and practical in applications to realistic FSI problems with moving interfaces and jump coefficients, and take different effects due to their significantly distinct features in the theoretical background as well as in the numerical implementations. In my lectures, both the numerical analysis and the algorithm development will be emphasized in terms of a monolithic mixed finite element method, where, the numerical analysis will focus on analyzing properties of the well-posedness, the stability and the convergence of the developed finite element approximation in both semi-and fully discrete schemes; and the algorithm development will concentrate in the implementation of ALE method and FD method in the finite element frame for unsteady interface problems with distinct governing equations on either side of the moving interface such as FSI problems.

My lectures will be grouped into the following four topics and given in four sessions, respectively, as displayed below.

4.1 Applications to FSI problems in hydrodynamics and hemodynamics

4.2 ALE-FEM for a dynamic FSI problem

4.3 Algorithm development for a hydrodynamic FSI problem involving a rotating elastic turbine

4.4 Algorithm development for a hemodynamic FSI problem involving multiple structure materials in the cardiovascular environment

报告时间：2019年6月24日（星期一）晚上18：30、6月25日（星期二）上午10:30、6月26日（星期三）上午10:30、6月27日（星期四）上午10；30

报告地点：科技楼南楼702