Nonlocal calculus of variations and asymptotically compatible schemes
主 题: Nonlocal calculus of variations and asymptotically compatible schemes
报告人: Professor Qiang Du (Columbia University and Beijing Computational Science Research Center)
时 间: 2014-12-01 15:00-16:00
地 点: 理科一号楼1114（数学所活动）
We present a mathematical framework of nonlocal calculus of variations. The framework was based on the nonlocal vector calculus and it has been successfully used to analyze linear and nonlinear nonlocal balance laws and variational problems.
It has also motivated the development of asymptotically compatible schemes for the discretization of nonlocal models and their local limits.