报告题目：Two-level Methods for Second Order Elliptic PDEs

报 告 人：钟柳强教授（华南师范大学）

报告地点：龙洞行政楼610

报告时间：2023年12月11日（周一）上午 10:30--11:30

主 持 人：陈学松

报告摘要：In this talk, a class of two-level methods, which include two level, improve two level and iterative two level, are first designed and analyzed for solving the finite element discretization of the nonsymmetric or indefinite partial differential equations. The two-level methods use only the same coarse spaces as the traditional two-grid algorithm, but its “fine spaces” use the higher order finite element space under the coarse grid. Therefore, the two-level algorithms only need one grid,  and achieve the same convergence order of the traditional two-grid algorithms  require less time. At last. Numerical experiments are implemented to support the theoretical results, especially.

报告人简介：钟柳强，华南师范大学教授、博士生导师。主要从事偏微分方程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。曾先后获得国际数值分析-- Leslie Fox 奖、美国多重网格法铜山会议论文竞赛奖和全国优秀博士学位论文。先后主持多项国家自然科学基金项目和省部级科研基金项目。在 Math. Comp.，SIAM J. Numer. undefined.，Numer. Linear Algebra Appl., Adv. Comput. Math. 和中国科学-数学等国内外期刊发表系列论文。