报告题目：Theory Based Construction of Atomistic/Continuum Coupling Methods

报告人：张镭(上海交通大学数学系)

时间：2014年10月28日(星期二)16:00-17:00

地点:理科楼数学A404

摘要：We discuss the construction of quasi-optimal energy based atomistic/continuum (A/C) coupling methods for crystalline solids with defects, based on tools from numerical analysis. For general multi-body interactions on the 2D triangular lattice (and potentially for 3D lattices), we show that ghost force removal (patch test consistent) A/C methods can be constructed for arbitrary interface geometries. We prove that all methods within this class are first-order consistent at the atomistic/continuum interface. The rigorous error analysis of the coupling methods leads to their optimal implementation. For a range of benchmark problems, the resulting consistent coupling methods have the same convergence rates as optimal force-based coupling schemes. This is a joint work with Christoph Ortner (Warwick).

报告人简介：报告人简介：张镭，上海交通大学数学系、自然科学研究院特别研究员，美国加州理工学院博士。研究方向：多尺度建模，分析和计算，以及在材料科学，地球物理科学，生命科学等领域中的应用。

联系人：郑春雄