主講人：黃學(xué)海 上海財(cái)經(jīng)大學(xué)講席教授
時(shí)間：2023年12月21日14：00
地點(diǎn)：三號(hào)樓301室
舉辦單位：數(shù)理學(xué)院
主講人介紹：黃學(xué)海，上海財(cái)經(jīng)大學(xué)講席教授、博士研究生導(dǎo)師，研究方向?yàn)橛邢拊椒?。在Math. Comp.、SIAM J. Numer. Anal.、Numer. Math.、Math. Models Methods Appl. Sci.等國(guó)際期刊發(fā)表SCI 論文四十多篇。正主持一項(xiàng)國(guó)家自然科學(xué)基金面上項(xiàng)目和上海市自然科學(xué)基金原創(chuàng)探索項(xiàng)目,主持完成國(guó)家自然科學(xué)基金面上項(xiàng)目、青年項(xiàng)目、數(shù)學(xué)天元項(xiàng)目和溫州市科技計(jì)劃項(xiàng)目各一項(xiàng)、浙江省自然科學(xué)基金項(xiàng)目?jī)身?xiàng)。獲中國(guó)計(jì)算數(shù)學(xué)學(xué)會(huì)優(yōu)秀青年論文競(jìng)賽優(yōu)秀獎(jiǎng)，博士學(xué)位論文被評(píng)為上海市研究生優(yōu)秀成果(學(xué)位論文)。
內(nèi)容介紹：The construction of finite element De Rham complexes is presented in this talk. The polynomial De Rham complex and Koszul complex are combined to derive the decompositions of vectorial polynomial spaces. Traces of H(div) and H(curl) are shown. Different ways of constructing H(div)-conforming finite elements and H(curl)-conforming finite elements are discussed. Especially, with the help of the geometric decomposition and the tangential-normal decomposition, the basis functions of Lagrange element can be used to form the basis functions of H(div)-conforming finite elements and H(curl)-conforming finite elements, whose implementation is easy.