报告题目: Enhanced Error Estimates for Augmented Subspace Method
报 告 人: 周晨光 讲师
所在单位:北京工业大学理学部
报告时间:2023年5月7日 星期日 下午15:00-16:00
报告地点:数学楼研讨室6
校内联系人:邹永魁 zouyk@jlu.edu.cn
报告摘要: In this talk, we discuss some enhanced error estimates which are derived for the augmented subspace methods. For the first time, we strictly prove that the augmented subspace methods have the second order convergence rate between the two iteration steps, which is better than the existing theoretical results and more consistent with the results of actual numerical test. These sharper estimates explicitly depict the dependence of convergence rate on the coarse spaces, which provides new advantages for the augmented subspace methods. Some numerical examples are finally presented to validate these new estimate results and the efficiency of our algorithms.
报告人简介:周晨光,北京工业大学理学部讲师,本硕博均毕业于be365体育平台,2019年博士毕业后赴中国科学院数学与系统科学研究院计算数学研究所从事博士后研究,2021年博士后出站加入北京工业大学理学部,曾于2016-2017年、2017-2018年分别在美国维克森林大学和美国奥本大学访问交流。目前主要的研究兴趣是非线性问题的高效数值方法、非标准有限元方法等。现已发表SCI检索期刊论文十余篇。