报告时间：2019年8月9日（星期五）14：00
报告地点：浙江大学紫金港校区蒙民伟楼402室
报告题目：Multilevel Iterative Methods for Discretized Partial Differential Equations
主讲人：Prof. Xiaozhe Hu（Tufts University）
主持人：陈翔副教授

Abstract: Developing fast algorithms for solving large-scale sparse linear systems obtained from finite-element discretizations of Partial Differential Equations (PDEs) is an important and challenging task in scientific computing and practical applications.  In this talk, using Poisson's equation as an example, we first introduce the multigrid method and its algebraic variant. We then use the multigrid method as a building block to develop multilevel iterative methods for several PDEs arising from different applications, such as multiphase flow in porous media, poroelasticity, and magnetohydrodynamics. Numerical experiments are presented to demonstrate the efficiency of the multilevel iterative methods. 

Bio: Xiaozhe Hu is an Associate Professor in the Department of Mathematics at Tufts University. He received his Ph.D. in Computational Mathematics from Zhejiang University in 2009. He conducted a year of postdoctoral research at the Beijing International Center of Mathematical Research and then became a postdoctoral fellow in the Department of Mathematics at Pennsylvania State University in 2010. He served in the position of Research Assistant Professor at Penn State before joining Tufts in 2014.
Hu's primary research interests are in numerical analysis and scientific computing, with an emphasis on the development, analysis, and implementation of numerical algorithms for solving partial differential equations and graph problems arising from different applications, such as multiphase ow in porous media, magnetohydrodynamics, bioinformatics, and machine learning. His algorithms have been used by commercial companies such as NVIDIA, China National Offshore Oil Company, and Petro-China. In 2016, his work received the Reimann-Liouville Award at the International Conference on Fractional Differentiation and Its Applications. His algorithm won the best performer of Disease Module Identification DREAM Challenges. He was a plenary speaker at the twenty-fourth International Conference on Domain Decomposition Methods in 2017. His research has been supported by the U.S. Department of Energy and the National Science Foundation.