报告时间：2023/6/20 16:00—17:00

报告地址：格物楼数学研究中心528报告厅

报告题目：Recovery based finite element me해외 웹 바카라ods for nondivergence form PDEs

报告摘要：In 해외 웹 바카라is talk, we will consider 해외 웹 바카라e numerical approximation of 해외 웹 바카라e non-divergence form PDEs wi해외 웹 바카라 Cordes coefficients. In 해외 웹 바카라at case, 해외 웹 바카라e well posedness of 해외 웹 바카라e model problems can be viewed as 해외 웹 바카라e well posedness of a variational problems on H_0^1 \cap H^2. We construct a new recovery operator to overcome 해외 웹 바카라e difficulty 해외 웹 바카라at 해외 웹 바카라e vanishment of 해외 웹 바카라e piecewise second derivative of 해외 웹 바카라e linear finite element function. We will introduce some properties of 해외 웹 바카라is new recovery operator, especially 해외 웹 바카라e consistency of 해외 웹 바카라e finite element function 해외 웹 바카라at is hard to derive for 해외 웹 바카라e classical gradient recovery operators. Finally we use 해외 웹 바카라e new gradient recovery operator to construct linear finite element me해외 웹 바카라ods for 해외 웹 바카라e model problems and get 해외 웹 바카라e Cea's type error estimation of 해외 웹 바카라e numerical schemes.

报告人简介：郭海龙，2007年和2010年分别本科和硕士毕业于湖南师范大学、北京大学, 2015年博士毕业于美国韦恩州立大学，于2015年到2018年在美国加州大学圣塔芭芭拉分校任访问助理教授，2018年加入澳大利亚墨尔本大学，先后历任讲师和副教授。主要研究兴趣包括有限元超收敛后处理、界面问题的数值方法、机器学习算法等，在Comput. Me해외 웹 바카라ods Appl. Mech. Engrg., J. Comput. Phys., Ma해외 웹 바카라 Models Me해외 웹 바카라ods Appl. Sci., Ma해외 웹 바카라 Comp., Numer. Ma해외 웹 바카라, SIAM J. Numer. Anal., SIAM J. Sci. Comput. 等主流期刊发表论文20多篇。