冷海涛副教授
一、基本信息
冷海涛副教授
研究领域：多相渗流问题、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：htleng@m.scnu.edu.cn、htleng@gzhu.edu.cn
二、个人简介
冷海涛，男，2018年博士毕业于华南师范大学，主要从事杂交间断Galerkin方法、自适应有限元方法，多相渗流问题、不可压流体问题等的研究工作，已在Math. Comp.、M3AS、IMA J. Numer. Anal.、ESAIM: M2AN、J. Sci. Comput. 等杂志发表论文二十余篇。
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、微分方程数值解
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，2021.01-2023.12，主持
2. 广东省自然科学基金面上项目：有奇异热源的热流耦合问题的理论和数值研究，2024.01-2026.12，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. 已发表学术论文
[1] Haitao Leng and Huangxin Chen, $W^{1,\infty}$ and $L^{\infty}$ error estimates for an IP-HDG method with application to pointwise tracking optimal control problem, Math. Comp., Published online, 2023. DOI: 10.1090/mcom/3923
[2] Haitao Leng and Huangxin Chen, An adaptive hybridizable discontinuous Galerkin method for Darcy-Forchheimer flow in fractured porous media, Math. Models Methods Appl. Sci., 34 (2024), pp. 2497-2536.
[3] Haitao Leng and Huangxin Chen, Adaptive interior penalty hybridized discontinuous Galerkin methods for Darcy flow in fractured porous media, IMA J. Numer. Anal., 44 (2024), pp. 2165-2197.
[4] Haitao Leng, An exactly divergence-free hybridized discontinuous Galerkin method for the generalized Boussinesq equations with singular heat source, ESIAM: M2AN, 58 (2024), pp. 1347-1383.
[5] Haitao Leng, Analysis of an HDG method for the Navier-Stokes equations with Dirac measures, ESAIM: M2AN, 57 (2023), pp. 271-297.
[6] Haitao Leng, Error estimates of EDG-HDG methods for the Stokes equations with Dirac measures, J. Sci. Comput., 94 (2023): 66.
[7] Haitao Leng and Yanping Chen, A hybridizable discontinuous Galerkin method for second order elliptic equations with Dirac Delta source, ESAIM: M2AN, 56 (2022), pp. 385-406.
[8] 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.
[9] Haitao Leng, Adaptive HDG methods for the steady-state incompressible Navier-Stokes equations, J. Sci. Comput., 87 (2021): 37.
[10] Haitao Leng and Huangxin Chen, Adaptive HDG methods for the Brinkman equations with application to optimal control, J. Sci. Comput.,87 (2021): 46.
[11] 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.
[12] 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.
[13] 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.
[14] 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.
