报告题目:Optimal Error Estimates for Multiscale Finite Element Methods
报告人:明平兵 中国科学院数学与系统科学研究院
报告时间:11月11号 14:00-15:00
报告地点:会议链接如下:https://meeting.tencent.com/dm/ehItMj3dGXWD 腾讯会议:973-9868-4305
摘要:
We derive the optimal energy error estimate for multiscale finite element method with oversampling technique applying to elliptic system with rapidly oscillating periodic coefficients under the assumption that the coefficients are bounded and measurable, which may admit rough microstructures. As a by-product of the energy estimate, we derive the rate of convergence in L$^{d/(d-1)}-$norm.. The extension to locally periodic media will also be discussed. This is a joint work with Siqi Song.
报告人简介:
明平兵是中国科学院数学与系统科学研究院研究员,并担任科学与工程计算国家重点实验室副主任。主要从事固体多尺度建模、模拟及多尺度算法的研究。他于2014年获得国家杰出青年基金.