應yl7703永利官網宋倫繼教授邀請，北京大學胡俊教授將于2023年7月24日作線下學術報告。

報告題目：Recent Advances in Finite Element Methods of Fourth-Order Elliptic Problems

時間：2023年7月24日（周一） 上午8:30

地點：醫(yī)學校區(qū)新醫(yī)學實驗樓一樓報告廳

摘要：This talk presents some recent advances in finite element methods for solving fourth-order elliptic problems, which requires the conforming finite element space to be globally differential. However, constructing such a conforming space can lead to higher polynomial degrees and computational difficulties. To alleviate this, a family of nonconforming finite elements within the SPP-BEAM error analysis theory framework will be introduced. Additionally, a novel family of mixed finite element methods will be presented for solving fourth-order problems with the symmetric stress sought in the Sobolev space H(divdiv) and the displacement sought in the L2 space. The newly constructed H(divdiv)-conforming finite elements for symmetric matrix-valued functions are computationally desirable due to their easy-to-write basis functions. Numerical experiments will be conducted to demonstrate the effectiveness of the proposed methods. The talk is mainly based on the joint works with Rui Ma, Shudan Tian, Min zhang, Shangyou Zhang.

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個人簡介

胡俊，北京大學數(shù)學科學學院教授，主要從事非標準有限元方法的研究，（與合作者）建立了一個設計線彈性力學問題混合有限元方法的新框架, 構造了以多項式為形函數(shù)、應力嚴格對稱、有最優(yōu)收斂性的穩(wěn)定混合有限元，并在此基礎上設計了四階問題內蘊的混合有限元方法；首次構造出線性化Einstein-Bianchi方程組兩族保結構的穩(wěn)定混合有限元方法。曾獲教育部自然科學獎一等獎、國家杰出青年科學基金、馮康科學計算獎、中國數(shù)學會計算數(shù)學分會首屆青年創(chuàng)新獎?，F(xiàn)任期刊Adv. Appl.Math.Mech.執(zhí)行主編、期刊Comput. Math. Appl.,Comput. Methods Appl. Math.，CSIAM Trans. Appl. Math.，J.Comput.Math.和數(shù)學理論與應用的編委、北京計算數(shù)學學會理事長、中國數(shù)學會常務理事、中國大壩工程學會大壩數(shù)值模擬專業(yè)委員會副主任委員，中國數(shù)學會計算數(shù)學分會理事，當選為中國科協(xié)第十次全國代表大會代表。

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