Stability and precondition of a force-based Quasicontinuum method
主 题: Stability and precondition of a force-based Quasicontinuum method
报告人: 明平兵研究员 (中科院数学与系统科学研究院)
时 间: 2015-11-05 10:30 - 11:30
地 点: 数学中心 全斋9教室(数学中心计算方法与应用实验室活动,北京计算数学学会系列报告)
In this talk, I shall discuss two issues of a force-based quasicontinuum method (FQC), which is one of the two main multiscale coupling strategies in solids. First, I propose a general stability concept for FQC, which seems particularly suitable for high dimension problems. Two FQC methods are proven to be stable and numerical examples are also reported. Second, I discuss the precondition for the linear systems arising from FQC, which stems from its stability. Several numerical examples are reported to show the efficiency of the proposed preconditioner. This is a joint work with Long Cui and Jianfeng Lu.