讲座主题：Some Fast Solvers for Edge Element Discretizations of Time-harmonic Maxwell Equations

专家姓名：钟柳强

工作单位：华南师范大学

讲座时间：2017年7月17日9:00

讲座地点：数学院大会议室

主办单位：欧宝官方app下载数学与信息科学学院

内容摘要：

In this talk, we will introduce some fast solvers for edge element discretizations of time-harmonic Maxwell equations. We first present the classical two grid method , which is just right for the second edge element. Secondly, we discuss the iterative two-gird methods. At last, we design and analysis some two-level solvers, which include the improved two-gird methods and the corresponding additive Schwarz preconditions, the key is to construct a special ``coarse mesh'' space, which adds the kernel of the curl-operator in a fine space to a coarse mesh space, to solve the original problem, and then uses the fine mesh space to solve the H(curl)-elliptic problem. Numerical experiments show the efficiency of the proposed approach.

主讲人介绍：

华南师范大学数学学院教授、博士生导师、副院长，现任广东省计算数学学会常务理事、副秘书长。主要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 奖二等奖、全国百篇优秀博士学位论文奖，入选广东省高等学校优秀青年教师培养计划2013年度培养对象。主持和结题多项国家自然科学基金、省部级等科研基金各一项，在 Math. Comp. 、IAM J. Numer. Anal. 和中国科学－数学等国内外期刊发表学术论文。