應yl7703永利官網(wǎng)鄧偉華教授邀請，中國科學院數(shù)學與系統(tǒng)科學研究院毛士鵬研究員將于2023年3月24日-26日訪問蘭州大學，期間舉辦專題學術報告，歡迎全校師生參加。

報告題目: Numerical analysis of a fully discrete finite element method for 3D vector potential MHD system

時 間：3月24日（星期五）15：00-16：00.

地 點：理工樓 631

報告摘要：We investigate a fully discrete finite element scheme for the three dimensional incompressible magnetohydrodynamic (MHD) problem based on magnetic vector potential formulation. Using a mixed finite element approach, we discretize the model by the fully discrete semi-implicit Euler scheme with the velocity and the pressure approximated by stable MINI finite elements and the magnetic vector potential by edge elements.The formulation enjoys the novel feature that it can always produce an exactly divergence free magnetic induction discretized solution. However, its computational difficulty and efficiency are comparable to the traditional MHD model. We will also discuss some strong convergence results and error estimates for the numerical solutions of the model, as well as the existence and well-posedness of the weak solution of the model. Finally, some numerical examples are carried out to demonstrate both accuracy and efficiency of the fully discrete scheme.

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報告人簡介

毛士鵬，中科院數(shù)學與系統(tǒng)科學研究院研究員、博士生導師，中科院大學崗位教授。2008年博士畢業(yè)于中科院數(shù)學與系統(tǒng)科學研究院，2008-2012年先后在法國國家信息自動化研究院（INRIA）以及在瑞士蘇黎世高工(ETH Zurich)做博士后和研究助理。主要研究興趣為有限元方法及其應用，計算流體力學和磁流體力學等。在 Math. Comp.，Numer. Math.，SIAM J. Numer. Math.，SIAM J. Sci. Comput.，M3AS等雜志上發(fā)表論文70余篇。

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2023年3月22日