冷海涛博士
一、基本信息
冷海涛博士
研究领域：最优控制问题、多孔介质问题、不可压流体问题、间断有限元方法、自适应有限元方法
办公地点：电子信息楼6楼
电子邮箱：lhtdemail@163.com、htleng@m.scnu.edu.cn
二、个人简介
冷海涛，男，2018年博士毕业于华南师范大学，主要从事偏微分方程数值解的研究，已在ESAIM: M2AN、J. Sci. Comput. 等杂志发表论文十余篇。
三、教育背景
2015.09-2018.07，华南师范大学，博士，导师：陈艳萍教授
2012.09-2015.07，华南师范大学，硕士，导师：陈艳萍教授
2008.09-2012.07，广东工业大学，学士
四、职业经历
学术工作经历：
2022.07.01至今，广州大学，全职特聘副教授I级岗
2019.07.01-2022.06.30，华南师范大学，青年英才（特聘副研究员）
2018.08-2019.08，香港科技大学，博士后，导师：王筱平教授
五、教授课程
高等数学、线性代数
六、科研服务
近年主持的研究项目：
1. 国家自然科学基金青年项目：分数阶偏微分方程最优控制问题的杂交间断伽辽金方法，No. 12001209，2021.01-2023.12，主持
七、研究成果
1.获奖及荣誉
2017年博士生国家奖学金
2016年广东省“大数据与超级计算技术”研究生学术论坛论文一等奖
2.近期发表的期刊文章
[1] Haitao Leng, Analysis of an HDG method for the Navier-Stokes equations with Dirac measures, to appear in ESAIM: Mathematical Modelling and Numerical Analysis.
[2] Haitao Leng, Error estimates of EDG-HDG methods for the Stokes equations with Dirac measures, to appear in Journal of Scientific Computing.
[3] Haitao Leng, A posteriori error analysis for pressure-robust HDG methods for the stationary incompressible Navier-Stokes equations, to appear in Journal of Scientific Computing.
[4] Haitao Leng and Yanping Chen, A hybridizable discontinuous Galerkin method for second order elliptic equations with Dirac Delta source, ESAIM: Mathematical Modelling and Numerical Analysis, 56 (2022), pp. 385-406.
[5] Haitao Leng, Dong Wang, Huangxin Chen and Xiaoping Wang, An iterative thresholding method for topology optimization for the Navier-Stokes flow, Recent Advances in Industrial and Applied Mathematics, ICIAM 2019 SEMA SIMAI Springer Series 1, book chapter.
[6] Huangxin Chen, Haitao Leng, Dong Wang and Xiaoping Wang, An efficient thresholding dynamics method for topology optimization for fluids, CSIAM Transactions on Applied Mathematics, 3 (2022), pp. 26-56.
[7] Yihui Han and Haitao Leng*, Adaptive H(div)-conforming embedded-hybridized discontinuous Galerkin finite element methods for the Stokes problems, CSIAM Transactions on Applied Mathematics, 3 (2022), pp. 82-108.
[8] Haitao Leng, Adaptive HDG methods for the steady-state incompressible Navier-Stokes equations, Journal of Scientific Computing, (2021) 87: 37.
[9] Haitao Leng and Huangxin Chen, Adaptive HDG methods for the Brinkman equations with application to optimal control, Journal of Scientific Computing, (2021) 87: 46.
[10] Haitao Leng and Yanping Chen, Residual-type a posteriori error analysis of HDG methods for Neumann boundary control problems, Advances in Computational Mathematics, (2021) 47: 30.
[11] Haitao Leng and Yanping Chen, Adaptive hybridizable discontinuous Galerkin methods for nonstationary convection diffusion problems, Advances in Computational Mathematics, (2020) 46: 50.
[12] Tianliang Hou and Haitao Leng*, Numerical analysis of a stabilized Crank-Nicolson/Adams-Bashforth finite difference scheme for Allen-Cahn equations, Applied Mathematics Letters, 102 (2020), 106150.
[13] Tianliang Hou, Haitao Leng* and Tian Luan, Two-grid methods for P02-P1 mixed finite element approximation of general elliptic optimal control problems with low regularity, Numerical Methods for Partial Differential Equations, 36 (2020), pp. 1184-1202.
[14] Wenting Mao, Yanping Chen and Haitao Leng, Equivalent a posteriori error estimators for semilinear elliptic equations with Dirac right-hand side, Advances in Applied Mathematics and Mechanics, 12 (2020), pp. 835-848.
[15] Haitao Leng, Yanping Chen and Yunqing Huang, Equivalent a posteriori error estimates for elliptic optimal control problems with L1 control cost, Computers and Mathematics with Applications, 77 (2019), pp. 342-356.
[16] Tianliang Hou and Haitao Leng*, Superconvergence analysis and two-grid algorithms of pseudostress-velocity MFEM for optimal control problems governed by Stokes equations, Applied Numerical Mathematics, 138 (2019), pp. 78-93.
[17] Tianliang Hou, Wenzhu Jiang, Yueting Yang and Haitao Leng*, Two-grid P02-P1 mixed finite element methods combined with Crank-Nicolson scheme for a class of nonlinear parabolic equations, 137 (2019), pp. 136-150.
[18] Yanping Chen, Haitao Leng and Wendi Yang, Error estimates of pseudostress-velocity MFEM for optimal control problems governed by stokes equations, Applied Numerical Mathematics, 135 (2019), pp. 407-422.
[19] Haitao Leng and Yanping Chen, Convergence and quasi-optimality of an adaptive finite element method for optimal control problems with integral control constraint, Advances in Computational Mathematics, 44 (2018), pp. 367-394.
[20] Li-Bin Liu, Haitao Leng and Guangquan Long, Analysis of the SDFEM for singularly perturbed differential-difference equations, Calcolo, (2018) 55: 23.
[21] Haitao Leng and Yanping Chen, Convergence and quasi-optimality of an adaptive finite element method for optimal control problems on L2 norm, Journal of Scientific Computing, 73 (2017), pp. 438-458.
[22] Yanping Chen, Haitao Leng and Li-Bin Liu, Error analysis for a non-monotone FEM for a singularly perturbed problem with two small parameters, Advances in Applied Mathematics and Mechanics, 7 (2015), pp. 196-206.
