A nonlinear finite volume scheme preserving maximum principle for diffusion equation
Speaker
A/Prof. Zhi-Qiang Sheng
Institute of Applied Physics and Computational Mathematics
Abstract

The maximum principle is one of the key requirements to discretization schemes, and can ensure that there is no spurious oscillations for the numerical solution and preserve physical bounds of problem. In this talk, we first introduce a new nonlinear finite volume scheme satisfying the maximum principle for the diffusion equation on distorted meshes, and then introduce the corresponding theoretical analysis including the coercivity, existence and convergence. Numerical results are presented to demonstrate the properties of our scheme.

About the Speaker

盛志强,博士,特聘研究员。20076月毕业于中国工程物理研究院研究生部,获博士学位。毕业后进入北京应用物理与计算数学研究所计算物理实验室工作,2008-2010年在法国巴黎第六大学做博士后研究。目前主要从事辐射流体力学计算方法研究及程序研制工作。已出版专著本,发表SCI论文40余篇。曾获中国计算数学学会优秀青年论文竞赛一等奖和中国工程物理研究院首届科技创新奖一等奖。

Date&Time
2019-09-17 9:30 AM
Location
Room: A203 Meeting Room
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