陈学松(教授)

硕士生导师

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所在单位:数学与统计学院

职务:行政职能部门副职

性别:男

联系方式:邮箱:chenxs@gdut.edu.cn Tel:13533836311

学位:工学博士学位

在职信息:在职

学科:计算数学
应用数学

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40. Z. Wang, C. Ou(学生), S. Vong*, A second-order scheme with nonuniform time grids for Caputo-Hadamard fractional sub-diffusion equations, J. Comput. Appl. Math. 414 (2022) 114448.

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发表刊物:Computers & Mathematics with Applications, 2022, (Accept)

关键字:Optimal control; Optimality conditions ; Semismooth Newton; Semi-linear elliptic equation; Nonmonotone convergence

摘要:Global convergent semi-smooth Newton (GCSSN) method for $L^2$-norm control constrained elliptic optimal control problem with $L^1$-control cost is discussed. The first order necessary optimality conditions is analyzed and reduced system is proposed. After finite difference discretization, we propose the global convergent semi-smooth Newton method for discrete reduced system with the nonmonotone line search. The local superlinear convergence rate and convergence are proved theoretically. The demonstrated theoretical properties are verified with numerical results. To illustrate the effectiveness and efficiency, we compare the proposed method with semi-smooth Newton method in the simulation part.

第一作者:Zemian Zhang

通讯作者:Xuesong Chen

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收录刊物:SCI

下一条: 39. L. Qiao, Z. Wang*, D. Xu, An ADI nite difference method for the two-dimensional Volterra integro-differential equation with weakly singular kernel, Int. J. Comput. Math. (2022). http://doi.org/10.1080/00207160.2022.2073178