講座主題：Some Fast Solvers for Edge Element Discretizations of Time-harmonic Maxwell Equations
專家姓名：鐘柳強(qiáng)
工作單位：華南師范大學(xué)
講座時(shí)間：2017年7月17日9:00
講座地點(diǎn)：數(shù)學(xué)院大會(huì)議室
主辦單位：煙臺(tái)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(zhǎng)，現(xiàn)任廣東省計(jì)算數(shù)學(xué)學(xué)會(huì)常務(wù)理事、副秘書長(zhǎng)。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(jì)分析、自適應(yīng)有限元法理論及其應(yīng)用。曾獲得第14屆國(guó)際數(shù)值分析-- Leslie Fox 獎(jiǎng)二等獎(jiǎng)、全國(guó)百篇優(yōu)秀博士學(xué)位論文獎(jiǎng)，入選廣東省高等學(xué)校優(yōu)秀青年教師培養(yǎng)計(jì)劃2013年度培養(yǎng)對(duì)象。主持和結(jié)題多項(xiàng)國(guó)家自然科學(xué)基金、省部級(jí)等科研基金各一項(xiàng)，在 Math. Comp. 、IAM J. Numer. Anal. 和中國(guó)科學(xué)－數(shù)學(xué)等國(guó)內(nèi)外期刊發(fā)表學(xué)術(shù)論文。
