Shengfeng Zhu, Professor, School of Mathematical Sciences, East China Normal University

Wei Gong, Associate Professor

Proper orthogonal decomposition based on isogeometric analysis for reduced order modelling of unsteady partial differential equations

14:30-15:30 May 25 (Thursday), Z311

Proper orthogonal decomposition is a technique widely used in model order reduction of complex systems. In this talk, proper orthogonal decomposition is combined with isogeometric analysis for model order reduction of unsteady partial differential equations. Compared with the standard finite element method, isogeometric analysis has advantages in exact geometric modelling, efficient mesh generation, h-p-k refinements, etc. We consider the parabolic problems and acoustic problems. The fully discrete scheme we developd has three components: spatial discretization by isogeometric analysis, time discretization, and modes truncation by proper orthogonal decomposition.  A priori error estimates of numerical schemes will be given. Numerical examples are presented to verify effectiveness and accuracy of the methodology.

报告人简介：朱升峰, 华东师范大学数学科学学院教授、博导，于2006年、2011年先后获浙江大学学士与博士学位。2011年到华东师范大学工作, 曾在洛桑联邦理工学院做博士后。研究兴趣为偏微分方程数值解、形状优化、拓扑优化；在Numer Math, SINUM, SISC, JCP, CMAME等期刊发表学术论文50篇，承担与参与基金委项目、上海市科委项目、科技部重点研发项目等。