数学与统计学院"21世纪学科前沿"系列学术报告预告
编辑: 数学学院 董学敏 时间:2015-04-13
时间:4月17日上午9:00-10:00
地点:中关村校区研究生楼207
报告题目: Certain critic Issues in Multiscale Modeling and Methods in Solids: Numerical Analysis' Viewpoint
报告简介: Multiscale modeling and simulation have been quite popular in many fileds for almost two decades. In tis talk, I will discuss several critical issues in multiscale modeling and simulation, in particluar for crystalline solids. Cauchy-Born rule and quasicontinuum method are used as show-case. The former is the bridge between the atomistic model and the continuum mechanics model for crystalline solids, while the latter is among the most popular multiscale method for modeling the elastically deformation of the crystalline solids. On the one hand, we shall discuss the validation of Cauchy-Born rule and the accuracy of quasicontinuum method in the framework of the classical numerical analysis. On the other hand, we shall discuss the limitation of the classical numerical analysis framework when applied to multiscale modeling.
报告人简介:明平兵, 中国科学院数学与系统科学研究院研究员,2000年获得德国Humboldt基金资助,2005年获得第七届钟家庆数学奖,2014年获得国家杰出青年基金资助。明平兵研究员多次访问美国Princeton大学数学系和德国Leipzig Max Planck数学研究所,在固体多尺度建模与计算,特别是在Cauchy-Born法则的数学理论、拟连续体方法和数值均匀化方法的稳定性和收敛性方面做出了突出的研究工作。