数学与统计学院学术活动信息:University of Alabama WeiZhu 教授学术报告(二)

发布时间:2016-07-06   浏览次数:135


报 告 人:WeiZhu Associate Professor (University of Alabama )

报告题目:Simulation of liquid crystal elastomers using a novelpreconditioner

报告时间:2016年7月11日(周一)下午3点      

报告地点:静远楼204报告厅

报告摘要:Liquid crystal elastomers (LCEs) are soft complex materialsof enormous technological importance because of their remarkableresponsiveness to excitations.In our previous work, we proposed a non-local continuum model to study thedynamical behaviors of LCEs. The preliminary simulation demonstrated thatthe model can successfully capture the shape changing phenomena observed inreal experiments and other features of LCEs. However, due to the complexityof governing equations, the simulation is very time-consuming.In this talk, we introduce a novel preconditioner for solving the velocityequation using Chebyshev spectral collocation method and present newsimulations to show its efficiency. We also present some study of thepreconditioner, especially for the comparison with the well-known Orszag'sfinite difference preconditioning in the efficiency for certain ellipticequations.