主持人:杜洁 青年研究员
报告简介:
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 recent 10 years developments in the study of superconvergence for the local discontinuous Galerkin methods.
主讲人简介:
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-),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260余篇。张智民教授长期从事计算方法研究,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。
