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“九章講壇”第297講 — 李瑞霞 博士

日期:2021-03-08點(diǎn)擊數(shù):

應(yīng)yl7703永利官網(wǎng)張國鳳教授邀請,陜西科技大學(xué)文理學(xué)院李瑞霞博士將于2021年3月6日至3月8日訪問我校并作報告。

題目:Fast solver of optimal control problems constrained by Ohta-Kawasaki equations

地點(diǎn):理工樓403

時間:3月8日(周一)下午15:00-16:00

簡介:This paper is concerned with fast solver of distributed optimal control problems constrained by a nonlocal Cahn-Hilliard equation. By eliminating the control variable, a linear system on four-by-four block matrix form is obtained after discretization. Deforming the corresponding coefficient matrix into a form with special structure, an efficient preconditioner that can be utilized in an inner-outer way is designed, which leads to a fast Krylov subspace solver, that is robust with respect to mesh sizes, model parameters, and regularization parameters. Moreover, we prove that the eigenvalues of the corresponding preconditioned system are all real. Numerical experiments are presented to illustrate the robustness of the proposed solution methods.

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報告人簡介

李瑞霞,計(jì)算數(shù)學(xué)博士,陜西科技大學(xué)文理學(xué)院講師、博士后。主要從事數(shù)值線性代數(shù)、PDE及其約束優(yōu)化問題離散系統(tǒng)的快速算法等方向的研究工作。以第一作者在Applied Mathematics Letters、Computers and Mathematics with Applications、Numerical Algorithms等國際知名SCI期刊上發(fā)表論文多篇。


甘肅省高校應(yīng)用數(shù)學(xué)與復(fù)雜系統(tǒng)重點(diǎn)實(shí)驗(yàn)室

yl7703永利官網(wǎng)

萃英學(xué)院

2021年3月8日