助理教授
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谭志裕

职称:助理教授

职务:

学历:博士

电子邮件:zhiyutan@xmu.edu.cn

联系电话:

办 公 室:海韵园数学科学学院C楼C401内

教育经历:

2012.09--2017.07,中国科学院数学与系统科学研究院,博士,导师:严宁宁/龚伟

2008.08—2012.07,厦门大学,信息与计算科学专业,学士

工作经历:

2023.10至今,厦门大学,助理教授

2019.08—2023.08,Louisiana State University,博士后,导师: Susanne C. Brenner (ICM Invited Speaker, SIAM President, SIAM/AMS/AAAS/AWM Fellow et al.)

2017.08—2019.08,香港浸会大学,博士后,导师:Felix Kwok

研究方向:

有限元方法、偏微分方程约束最优控制问题、完全非线性偏微分方程数值解、虚拟元方法、最优化理论及算法设计与分析

社会兼职:

--Reviewer of Mathematical Reviews

--Mathematics of Computation/SIAM Journal on Numerical Analysis/ESIAM: Control, Optimisation and Calculus of Variations/Journal of Scientific Computing/Computers and Mathematics with Applications等期刊审稿人。

授课情况:

2024-2025春季学期 线性代数I

2024-2025秋季学期 线性代数I

项目:

--国家自然科学基金青年科学基金项目,一类非光滑完全非线性二阶椭圆型偏微分方程的有限元方法研究(项目编号:12401542),2025.01-2027.12,主持

--国家自然科学基金面上项目,复杂多相渗流的高效数值方法研究及应用(项目编号:12471345),2025.01-2028.12,参与

--国家重点研发计划“数学和应用研究”重点专项“海上浮式垂直轴风场关键问题数学建模与大规模数值模拟”(项目编号:2024YFA1012500),2024-12至 2029-11,参与

--国家重点研发计划“数学和应用研究”重点专项“大波数麦克斯韦方程组有限元方法研究及在超材料器件设计中的应用”(项目编号:2024YFA1012600),2024-12至 2029-11,参与

--厦门大学校长基金,Pucci方程的数值方法研究(项目编号:2072024), 2024.01 至 2025.12, 主持

其他:

--入选“博士后专项”

--入选厦门市高层次人才(B类人才)

--入选厦门大学南强青年拔尖人才支持计划(B类人才)

论文:

--Wei Gong and Zhiyu Tan (2025). A new finite element method for elliptic optimal control problems with pointwise state constraints in energy spaces, Journal of Scientific Computing, 102: 21, 2025.

--Susanne C. Brenner, Li-Yeng Sung, Zhiyu Tan and Hongchao Zhang (2024). A nonlinear least-squares convexity enforcing C0 interior penalty method for the Monge-Ampere equation on strictly convex smooth planar domains, Communications of the American Mathematical Society, 4: 607-640, 2024.

--Susanne C. Brenner, Li-Yeng Sung and Zhiyu Tan (2024). An adaptive nonlinear least-squares finite element method for a Pucci equation in two dimensions, East Asian Journal on Applied Mathematics, 14(3): 451-459, 2024.

--Sijing Liu, Zhiyu Tan and Yi Zhang (2024). Discontinuous Galerkin methods for an elliptic optimal control problem with a general state equation and pointwise state constraints, Journal of Computational and Applied Mathematics, 437: 115494, 2024.

--Susanne C. Brenner, SeongHee Jeong, Li-Yeng Sung and Zhiyu Tan(2023), C0 interior penalty methods for an elliptic distributed optimal control problem with general tracking and pointwise state constraints, Computers and Mathematics with Applications,155: 80-90, 2023.

--Susanne C. Brenner, Li-Yeng Sung and Zhiyu Tan (2023). A finite element method for a two-dimensional Pucci equation, Comptes Rendus Mécanique (The special volume in memory of Roland Glowinski), 351(S1): 1-16, 2023.

--Wei Gong, Zhiyu Tan and Zhaojie Zhou (2022). Optimal convergence of finite element approximation to an optimization problem with PDE constraint, Inverse Problems, 38(4): 045004, 2022.

--Susanne C. Brenner, Li-Yeng Sung and Zhiyu Tan (2021). A C1 virtual element method for an elliptic distributed optimal control problem with pointwise state constraints, Mathematical Models and Methods in Applied Sciences, 31(14): 2887-2906, 2021.

--Susanne C. Brenner, Li-Yeng Sung, Zhiyu Tan and Hongchao Zhang (2021). A convexity enforcing C0 interior penalty method for the Monge-Ampère equation on convex polygonal domains, Numerische Mathematik, 148: 497-524, 2021.

--Susanne C. Brenner, Li-Yeng Sung and Zhiyu Tan (2020). A cubic C0 interior penalty method for elliptic distributed optimal control problems with pointwise state and control constraints, Results in Applied Mathematics, 7: 100119, 2020.

--Zhaojie Zhou and Zhiyu Tan (2019). Finite element approximation of optimal control problem governed by space fractional equation, Journal of Scientific Computing, 78: 1840-1861, 2019

--Wei Gong, Wenbin Liu, Zhiyu Tan and Ningning Yan(2019). A convergent adaptive finite element method for elliptic Dirichlet boundary control problems, IMA Journal of Numerical Analysis, 39(4): 1985-2015, 2019.

--Wei Gong, Zhiyu Tan and Shuo Zhang (2018). A robust optimal preconditioner for the mixed finite element discretization of elliptic optimal control problems. Numerical Linear Algebra with Applications 25(1): e2129, 2018.

--Zhiyu Tan, Wei Gong and Ningning Yan (2017). Overlapping domain decomposition preconditioners for unconstrained elliptic optimal control problems. International Journal of Numerical Analysis and Modeling, 14(4-5), 550-570, 2017.

学生培养:

本人最近几年可以招收硕士研究生,欢迎感兴趣的同学报考。