应兰州大学数学与统计学院张国凤教授邀请，陕西科技大学文理学院李瑞霞博士将于2021年3月6日至3月8日访问我校并作报告。

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

地点：理工楼403

时间：3月8日(周一)下午15:00-16:00

简介：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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报告人简介

李瑞霞，计算数学博士，陕西科技大学文理学院讲师、博士后。主要从事数值线性代数、PDE及其约束优化问题离散系统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等国际知名SCI期刊上发表论文多篇。

甘肃省高校应用数学与复杂系统重点实验室

数学与统计学院

萃英学院

2021年3月8日