講座主題：Some Fast Solvers for Edge Element Discretizations of Time-harmonic Maxwell Equations
專家姓名：鐘柳強
工作單位：華南師范大學(xué)
講座時間：2017年7月17日9:00
講座地點：數(shù)學(xué)院大會議室
主辦單位：煙臺大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)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.
主講人介紹：
華南師范大學(xué)數(shù)學(xué)學(xué)院教授,、博士生導(dǎo)師,、副院長，現(xiàn)任廣東省計算數(shù)學(xué)學(xué)會常務(wù)理事,、副秘書長,。主要從事偏微分方程的數(shù)值求解中的多水平法的設(shè)計分析,、自適應(yīng)有限元法理論及其應(yīng)用。曾獲得第14屆國際數(shù)值分析-- Leslie Fox 獎二等獎,、全國百篇優(yōu)秀博士學(xué)位論文獎，入選廣東省高等學(xué)校優(yōu)秀青年教師培養(yǎng)計劃2013年度培養(yǎng)對象,。主持和結(jié)題多項國家自然科學(xué)基金,、省部級等科研基金各一項，在 Math. Comp. ,、IAM J. Numer. Anal. 和中國科學(xué)－數(shù)學(xué)等國內(nèi)外期刊發(fā)表學(xué)術(shù)論文,。
