Organizer：何俊材

Abstract: This talk presents a posteriori error estimates as well as superconvergent postprocessing procedures for FE methods, both motivated by the smoothing passes in iterative linear solvers. We apply simple smoothers (one step of Jacobi/Gauss–Seidel sweep), on an auxiliary finer mesh to process the FE residual for a posteriori error control. For superconvergence, we use several smoothing passes for a higher-order FE linear system with the initial guess being a lower-order FE solution. The implementation is non-intrusive and is similar to a two-level iterative solver. Numerical examples include Poisson, biharmonic, Helmholtz and Maxwell equations. The material is based on joint works with Han Shui and Ludmil Zikatanov.

个人简介：李雨文在南京大学取得学士和硕士学位，在加州大学圣迭戈分校获得博士学位，2019-2022年在宾州州立大学担任乔拉研究助理教授，之后加入浙江大学数学科学学院担任百人计划研究员。他的主要研究方向是有限元方法、模型降阶、逼近理论，研究成果发表于SINUM、MathComp、FoCM、CMAME、JCP等高水平期刊，主持一项国家自然科学基金面上项目，获评浙江大学启真优秀青年学者。