主 题: A PRIORI AND A POSTERIORI ERROR ESTIMATES FOR QUASICONTINUUM APPROXIMATIONS
报告人: 王皓明 (四川大学)
时 间: 2014-06-24 14：00-15:00
地 点: 理科一号楼1569（主持人：卢朓）
This talk is on the error estimates of dierent energy based quasicontinuum (QC) methods,which are a class of computational methods for the coupling of atomistic and continuum models for micro- or nano-scale materials.
The talk consists of two parts. The rst part considers the a priori error estimates of threeenergy based QC methods. The second part deals with the a posteriori error estimates of aspeci c energy based QC method which was recently developed.
In the rst part, we develop a uni ed framework for the a priori error estimates and presenta new and simpler proof based on negative-norm estimates, which essentially extends previous results.
In the second part, we establish the a posteriori error estimates for the newly developed energy based QC method for an energy norm and for the total energy. The analysis is based on a posteriori residual and stability estimates. Adaptive mesh re nement algorithms based on these error estimators are formulated.
In both parts, numerical experiments are presented to illustrate the results of our analysis and indicate the optimal convergence rates.
