报告题目:Two-grid methods for nonSPD linear and semilinear elliptic equations
报 告 人:钟柳强 教授 华南师范大学
报告时间:2020年08月27日10:00-11:00
报告地点:腾讯会议 ID:480 609 956
校内联系人:王翔 wxjldx@jlu.edu.cn
报告摘要:
Frist, for nonsymmetric or indefine linear elliptic PDEs, we obtain the first error estimate in L2-norm for the classical two-grid method, then design and analysis an improved two-grid method by adding one more correction on the coarse space to the classical two-gird method.
Secondly, we design and analyze a new conforming finite element discretization technique based on iterative two-grid methods for second order semilinear elliptic PDEs.
Thirdly, we present the DG methods for second order semilinear elliptic PDEs, and discuss the corresponding iterative two-grid algorithm.
报告人简介:
钟柳强,博士,华南师范大学数学科学学院教授、博士生导师。从事偏微分方程的数值求解中的多水平法的设计分析、自适应有限元法理论及其应用。曾获得第14届国际数值分析-- Leslie Fox 奖、第14届美国多重网格法铜山会议论文竞赛奖和全国百篇优秀博士学位论文奖。先后主持三项国家自然科学基金项目和多项省部级科研基金项目。在 Math. Comp.、SIAM J. Numer. Anal.、Numer. Linear Algebra Appl. 和中国科学-数学等国内外期刊发表系列论文。