Reduced-Order Methods of Phase Field Modelling with Auxiliary Variable Approach and SEM

        發布者:文明辦作者:發布時間:2020-12-21瀏覽次數:10


        主講人:許傳炬  廈門大學教授


        時間:2020年12月24日9:30


        地點:3號樓332


        舉辦單位:數理學院


        主講人介紹:許傳炬教授1982年廈門大學數學系本科畢業,1988-1989年獲巴黎南大學計算數學碩士學位, 1989-1993年或巴黎第六大學理學博士學位。研究方向:偏微分方程數值解、微分積分方程數值解、計算流體力學、計算材料等。2000年起受聘廈門大學數學科學學院教授,博士生導師,2008年起受聘廈門大學閩江特聘教授。在國際期刊上發表論文40多篇,主持、承擔或參加過的各類重大科研項目30多項;2000年獲法國法中科技協會頒發的信息科學2000獎,2003年獲福建省科技進步二等獎。擔任國際期刊East  Asian J. Appl. Math.執行主編(Managing Editor),SIAM J Sci Comput及多個國際學術雜志編委。


        內容介紹:In this talk we will discuss a variant of phase-field modelling derived from an  energy variational formulation. Different models are derived and efficient  numerical methods are proposed and analyzed. In particular, we discuss the  algorithms based on spectral element method for the spatial discretization and  stabilized ADI or auxiliary variable approach for the temporal discretization.  Reduced order methods are then developed using by proper orthogonal  decomposition and discrete empirical interpolation to improve the computational  efficiency.

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