学术报告20250314：局部间断有限元的超收敛

报告题目：局部间断有限元的超收敛

报告人：张智民 美国韦恩州立大学(Wayne State University)教授

报告人简介：张智民，中国科学技术大学学士（1982）硕士（1985）美国马里兰大学（University of Maryland，College Park）博士（1991）美国韦恩州立大学(Wayne State University)教授（2002-） 教育部“长江学者”（2010）国家引进海外高层次人才（2012）现任和曾任10个国内外数学杂志编委，包括Mathematics of Computation（2009-2017）Journal of Scientific Computing（2011-2017）Numerical methods for Partial Differential Equations（2013-）Communications on Applied Mathematics and Computation（2019-）CSIAM Transaction on Applied Mathematics（2019-）《数学文化》（2010-）等,发表SCI论文200余篇。张智民教授长期从事计算方法，所提出的多项式保持重构（Polynomial Preserving Recovery—PPR）方法2008年被大型商业软件COMSOL Multiphysics采用并沿用至今。

报告摘要：The phenomenon of superconvergence is well understood for the h-version finite element method, and researchers in this established field have accumulated a vast body of literature over the past 60 years. However, there is a lack of relevant studies for other numerical methods such as the p-version finite element method, spectral methods, discontinuous Galerkin methods, and finite volume methods. We believe that the scientific community would also benefit from studying of superconvergence phenomenon in these methods. In the last decade, efforts have been made to expand the scope of superconvergence. In this talk, we present some developments in the study of superconvergence for the local discontinuous Galerkin methods.

报告时间：2025年3月14日19:30-21:00

报告地点：腾讯会议（会议号：722138221）

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内蒙古大学数学科学学院

2025年3月12日