学术预告

信息来源: 发布时间2017-7-14 16:49:11

 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:20177179:00

讲座地点:数学院大会议室

主办单位:烟台大学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。

 

讲座主题:Spectral Methods for Transmission Eigenvalue Problems

专家姓名:周建伟

工作单位:临沂大学

讲座时间:201771710:00

讲座地点:数学院大会议室

主办单位:烟台大学数学与信息科学学院

内容摘要:

    Focusing on the Maxwell and Maxwell transmission eigenvalue problems, we employ the vector spherical harmonics and generalized Jacobi polynomials to expand vector fields. And the divergence-free condition enforces the reduction of the Maxwell's equations and Maxwell's transmission eigenvalue problems with the radial direction. The discretized algebraic system is made up of some sparse matrices, which are listed with explicit formulae. And the accuracy and efficiency of our method are shown with numerical results.

主讲人介绍:

    临沂大学二级教授,数学与统计学院副院长。主持国家自然科学基金面上项目、青年项目、博士后科学基金面上资助(61)和特别资助(10)各一项,参与国家自然科学基金多项,发表学术论文20余篇。