講座主題:Stability and convergence of incompressible flow with smooth and nonsmooth initial data
主講人:張通
工作單位:河南理工大學(xué)
講座時(shí)間:2019年10月11日(周五)下午3:30
講座地點(diǎn):數(shù)學(xué)院大會(huì)議室341
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 report, we consider the stability and convergence of incompressible flow with smooth and nonsmooth initial data. In the first part, four kinds of numerical methods based on backward Euler scheme for the viscoelastic flow, and the corresponding H2 stabiity results are provided. In the second part, the stability and convergence of the second order scheme for the Burgers equation with H2 and H1 initial data are considered. The almost unconditionally stable and optimal convergence results are provided. Finally, some numerical examples are provided to verify the established stability theory and convergence results with the smooth and nonsmooth initial data.
主講人介紹:
張通,山東省章丘市人,博士,副教授,碩士生導(dǎo)師,現(xiàn)就職于河南理工大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院,河南省青年骨干教師,河南理工大學(xué)二級(jí)“太行學(xué)者”。主持完成國(guó)家自然科學(xué)基金兩項(xiàng)、巴西教育部海外優(yōu)秀青年人才計(jì)劃項(xiàng)目一項(xiàng),現(xiàn)主持在研國(guó)家自然科學(xué)面上項(xiàng)目一項(xiàng),河南理工大學(xué)杰出青年基金一項(xiàng),2015年至今累計(jì)發(fā)表 SCI 論文30余篇, 連續(xù)三年獲河南省優(yōu)秀碩士畢業(yè)論文指導(dǎo)教師,碩士畢業(yè)生“優(yōu)秀指導(dǎo)教師”及校內(nèi)“優(yōu)秀共產(chǎn)黨員”、“精神文明建設(shè)先進(jìn)個(gè)人”等榮譽(yù)稱(chēng)號(hào)。