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龚伟－－简历

教育背景

  • 2006–2009: 计算数学，博士，中国科学院数学与系统科学研究院

  • 2003–2006: 计算数学，硕士，郑州大学数学系

  • 1999–2003: 信息与计算数学，本科，郑州大学数学系

工作经历

  • 2017年2月–现在：副研究员，计算数学研究所，中国科学院数学与系统科学研究院

  • 2009年7月–2017年2月：助理研究员，计算数学研究所，中国科学院数学与系统科学研究院

  • 2014年6月–2014年7月：访问学者，香港浸会大学数学系

  • 2010年4月–2012年5月：洪堡学者，汉堡大学数学系，德国

研究方向

有限元方法

  • 先验误差估计

  • 后验误差估计

  • 自适应算法

偏微分方程约束优化

  • 数值分析

  • 优化算法

  • 时空区域分解算法

  • 稀疏优化

  • 多重网格及多水平算法

  • 形状及拓扑优化

科学计算

  • 变分资料同化

科研项目与奖励

科研项目

国家自然科学基金委面上项目，2021.1-2024.12, 项目编号： 12071468, 主持, 题目：偏微分方程约束Dirichlet边界控制问题的理论与算法

国家自然科学基金委面上项目，2017.1–2020.12，项目编号：11671391，主持，题目：偏微分方程约束最优控制问题的区域分解算法

国家自然科学基金委青年项目，2013.1–2015.12，项目编号：11201464，主持，题目：状态约束最优控制问题的数值算法

教育部留学归国人员科研启动基金，2014.1–2016.12，主持

国家重点研发计划重点专项，项目编号：2022YFA1004402: 2022.12–2027.11，参与

中科院战略先导专项，项目编号：XDB 41000000: 2020.01–2024.12，参与

国家重点研发计划重点专项，项目编号：2018YFB0704304: 2018.07–2022.06，参与

国家自然科学基金委重点项目，项目编号：91530204: 2016.01–2018.12，参与

科技部973专项，2012.1–2016.8，项目编号：2012CB821204，参与

国家自然科学基金为重点项目培育项目，项目编号：91330115: 2014.01–2014.12，参与

奖励

2022年年度科研进展: 2022, 中国科学院数学与系统科学研究院

陈景润未来之星：2017，中国科学院数学与系统科学研究院

洪堡学者：2010.9-2012.5，德国洪堡基金会，汉堡大学数学系，德国

学术服务

Associate Editor: Computational and Applied Mathematics, Springer, 2022–present.

组织会议

最优控制与反问题系列研讨会

  • 发起人：严宁宁（中科院），龚伟（中科院），吕锡亮（武汉大学）

  • 每年召开一次

  • 2019年8月30-9月2日，华东师范大学，上海，组织者：羊丹平，朱升峰（华东师范大学）

  • 2017年7月29-31日，临沂大学，临沂，山东，组织者：周建伟（临沂大学）

  • 2016年8月5-7日，武汉大学，武汉，湖北，组织者：吕锡亮（武汉大学）

  • 2015年7月22-25日，中科院数学与系统科学研究院，北京，组织者：龚伟，严宁宁（中科院数学院）

  • 2014年7月23-25日，中科院数学与系统科学研究院，北京，组织者：龚伟，严宁宁（中科院数学院）

  • 2013年7月14-17日，中科院数学与系统科学研究院，北京，组织者：龚伟，严宁宁（中科院数学院）

International Workshop on PDE-constrained Optimization, Optimal Control, and Applications

  • 2018年12月10-14日，清华大学三亚国际数学论坛，三亚，海南，组织者：龚伟（中科院数学院），Michael Hintermueller (德国柏林魏尔斯特拉斯研究所／柏林洪堡大学)，Karl Kunisch (奥地利格拉茨大学)，严宁宁（中科院数学院），邹军（香港中文大学）

论文发表

未发表论文

  • Wei Gong, Felix Kwok and Zhiyu Tan, Convergence analysis of the Schwarz alternating method for unconstrained elliptic optimal control problems, arXiv:2201.00974, 2022

  • Wei Gong, Ningning Yan and Zhaojie Zhou, Convergence of L^2-norm based adaptive finite element method for elliptic optimal control problems, arXiv:1608.08699, Aug. 2016 [PDF]

  • Wei Gong, Xiliang Lu and Ningning Yan, A parareal in time algorithm for the optimal control of evolution equations, Dec. 2014

杂志论文

  • Wei Gong, Dongdong Liang and Xiaoping Xie, Pointwise error estimates for linear finite element approximation to elliptic Dirichlet problems in smooth domains, accepted to Adv. Comput. Math., 2023.

  • Xuejian Li, Wei Gong, Xiaoming He and Tao Lin, Variational data assimilation and its decoupled iterative numerical algorithms for Stokes-Darcy model, accepted to SIAM J. Sci. Comput., 2023.

  • Gang Chen, Wei Gong, Mariano Mateos, John R. Singler and Yangwen Zhang, A new global divergence free and pressure-robust HDG method for tangential boundary control of Stokes equations, Comput. Methods Appl. Mech. Engrg., Vol. 405, Page No. 115837, 2023. [arXiv:2203.04589] [PDF]

  • Lili Chang, Wei Gong, Zhen Jin and Guiquan Sun, Sparse optimal control of pattern formations for an SIR reaction-diffusion epidemic model, SIAM J. Appl. Math., Vol. 82, No. 5, pp. 1764-1790, 2022. [PDF]

  • Wei Gong, Buyang Li and Huanhuan Yang, Optimal control in a bounded domain for wave propagating in the whole space: coupled through boundary integral equations, J. Sci. Comput., Vol. 92, No. 3, Paper No. 91, 2022. [PDF]

  • Wei Gong, Jiajie Li and Shengfeng Zhu, Improved discrete boundary type shape gradients for PDE-constrained shape optimization, SIAM J. Sci. Comput., Vol. 44, No. 4, A2464-A2505, 2022. [PDF] [Final Version]

  • Kaiye Zhou and Wei Gong, Error estimates for finite element approximation of Dirichlet boundary control for Stokes equations in L^2(Gamma), J. Sci. Comput., 91, no. 2, Paper No. 45, 2022. [PDF]

  • Yue Shen, Wei Gong and Ningning Yan, Convergence of adaptive nonconforming finite element method for Stokes optimal control problems, J. Comput. Appl. Math., 412(2022), Paper No. 114336, 23 pp. [PDF]

  • Wei Gong, Zhiyu Tan and Zhaojie Zhou, Optimal convergence of finite element approximation to an optimization problem with PDE constraint, Inverse Problems, 38(4), 045004,45pp, 2022. [PDF]

  • Dongdong Liang, Wei Gong and Xiaoping Xie, Finite element error estimation for parabolic optimal control problems with pointwise observations, Numer. Math. Theory Methods Appl., 15(1), 165-199, 2022. [PDF]

  • Wei Gong, Mariano Mateos, John R. Singler and Yangwen Zhang, Analysis and approximations of Dirichlet boundary control of Stokes flows in the energy space, arXiv:2011.08221, SIAM J. Numer. Anal., 60(1), 450-474, 2022. [PDF]

  • Wei Gong and Shengfeng Zhu, On discrete shape gradient of boundary type for PDE-constrained shape optimization, SIAM J. Numer. Anal., 59(3), 1510-1541, 2021. [PDF] [Final Version]

  • Wei Gong, Weiwei Hu, Mariano Mateos, John R. Singler and Yangwen Zhang, Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system, ESAIM Math. Model. Numer. Anal., accepted, March 2020 [arXiv:1811.08522]

  • Wei Gong and Buyang Li, Improved error estimates for semi-discrete finite element solutions of parabolic Dirichlet boundary control problems, IMA J. Numer. Anal., accepted, May 2019 [PDF]

  • Wei Gong, Wenbin Liu, Zhiyu Tan and Ningning Yan, A convergent adaptive finite element method for elliptic Dirichlet boundary control problems, IMA J. Numer. Anal., 39(4), 1985-2015, 2019 [PDF] [Corrigendum]

  • Wei Gong, Weiwei Hu, Mariano Mateos, John R. Singler, Xiao Zhang and Yangwen Zhang, A new HDG method for Dirichlet boundary control of convection diffusion PDEs II: low regularity, SIAM J. Numer. Anal., 56(4), 2262-2287, 2018 [PDF]

  • Wei Gong, Zhiyu Tan and Shuo Zhang, A robust optimal preconditioner for the mixed finite element discretization of elliptic optimal control problems, Numer. Linear Algebra Appl., 25(1): e2129, 2018, DOI: 10.1002/nla.2129 [PDF] [Final Version]

  • Wei Gong, Huipo Liu and Ningning Yan, Adaptive finite element method for parabolic equations with Dirac measure, Comput. Methods Appl. Mech. Engrg., 328(1), 217-241, 2018, DOI: 10.1016/j.cma.2017.08.051 [PDF] [Final Version]

  • Zhiyu Tan, Wei Gong and Ningning Yan, Overlapping domain decomposition preconditioners for unconstrained elliptic optimal control problems, Int. J. Numer. Anal. Model., 14(4-5), 550-570, 2017 [PDF]

  • Wei Gong, Hehu Xie and Ningning Yan, Adaptive multilevel correction method for finite element approximations of elliptic optimal control problems, J. Sci. Comput., 72(2), pp. 820-841, 2017, DOI:10.1007/s10915-017-0386-y [PDF] [Final Version]

  • Wei Gong and Ningning Yan, Adaptive finite element method for elliptic optimal control problems: convergence and optimality, arXiv:1505.01632, Numer. Math., 135(4), pp. 1121-1170, 2017, DOI:10.1007/s00211-016-0827-9 [PDF] [Final Version]

  • Wei Gong and Ningning Yan, Finite element approximations of parabolic optimal control problems with controls acting on a lower dimensional manifold, SIAM J. Numer. Anal., 54(2), pp. 1229-1262, 2016 [PDF] [Final Version]

  • Wei Gong, Michael Hinze and Zhaojie Zhou, Finite element method and a priori error estimates for Dirichlet boundary control problems governed by parabolic PDEs, arXiv:1410.0136, J. Sci. Comput., 66(3), pp. 941-967, 2016. DOI: 10.1007/s10915-015-0051-2 [PDF]

  • Zhaojie Zhou and Wei Gong, Finite element approximation of optimal control problems governed by time fractional diffusion equation, Comput. Math. Appl., 71(1), pp. 301-318, 2016 [PDF]

  • Wei Gong and Ningning Yan, Finite element method and its error estimates for the time optimal controls of heat equation, Int. J. Numer. Anal. Model., 13(2), pp. 265-279, 2016 [PDF]

  • Wei Gong, Hehu Xie and Ningning Yan, A multilevel correction method for optimal controls of elliptic equation, arXiv:1410.1132, SIAM J. Sci. Comput., 37(5), pp. A2198-A2221, 2015 [PDF]

  • Lili Chang, Wei Gong, Guiquan Sun and Ningning Yan, PDE-constrained optimal control approach for the approximation of an inverse Cauchy problem, Inverse Probl. Imaging, 9(3), pp. 791-814, 2015 [PDF]

  • Lili Chang, Wei Gong and Ningning Yan, Numerical analysis for the approximation of optimal control problems with pointwise observations, Math. Meth. Appl. Sci., 38, pp. 4502-4520, 2015. DOI:10.1002/mma.2861 [PDF]

  • Ming Yan, Wei Gong and Ningning Yan, Finite element methods for elliptic optimal control problems with boundary observations, Appl. Numer. Math., Volume 90, Pages 190–207, 2015. [PDF]

  • Wei Gong, Gengsheng Wang and Ningning Yan, Approximations of elliptic optimal control problems with controls acting on a lower dimensional manifold, SIAM J. Control Optim., 52(3), pp. 2008-2035, 2014 [PDF]

  • Wei Gong, Michael Hinze and Zhaojie Zhou, A priori error analysis for finite element approximation of parabolic optimal control problems with pointwise control, SIAM J. Control Optim., 52(1), pp. 97-119, 2014 [PDF]

  • Huipo Liu, Wei Gong, Shuanghu Wang and Ningning Yan, Superconvergence and a posteriori error estimates for the Stokes eigenvalue problems, BIT Numer. Math., 53(3), pp. 665-687, 2013 [PDF]

  • Wei Gong and Michael Hinze, Error estimates for parabolic optimal control problems with control and state constraints, Comput. Optim. Appl., 56(1), pp. 131-151, 2013 [PDF]

  • Wei Gong, Error estimates for finite element approximations of parabolic equations with measure data, Math. Comput., 82, pp. 69-98, 2013 [PDF]

  • Wei Gong, Michael Hinze and Zhaojie Zhou, Space-time finite element approximation of parabolic optimal control problems, J. Numer. Math., 20(2), pp. 111-146, 2012 [PDF]

  • Dongyang Shi, Jincheng Ren and Wei Gong, Convergence and superconvergence analysis of a nonconforming finite element method for solving the Signorini problem, Nonlinear Anal., 75, pp. 3493-3502, 2012.

  • Wei Gong and Ningning Yan, Mixed finite element method for Dirichlet boundary control problem governed by elliptic PDEs, SIAM J. Control Optim., 49, pp. 984-1014, 2011 [PDF]

  • Wei Gong and Ningning Yan, Robust error estimates for the finite element approximation of elliptic optimal control problems, J. Comput. Appl. Math., 236, pp. 1370-1381, 2011 [PDF]

  • Dongyang Shi, Jinchen Ren and Wei Gong, A new nonconforming mixed finite element scheme for the stationary Navier-Stokes equations, Acta Math. Sci. Ser. B Engl. Ed., 31, pp. 367-382, 2011.

  • Dongyang Shi, Wei Gong and Jincheng Ren, A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations, Math. Comput. Modelling, 53, pp. 1956-1969, 2011.

  • Wei Gong and Ningning Yan, A mixed finite element scheme for optimal control problems with pointwise state constraints, J. Sci. Comput., 46, pp. 182-203, 2011 [PDF]

  • Wei Gong, Wenbin Liu and Ningning Yan, A posteriori error estimates of hp-FEM for optimal control problems, Int. J. Numer. Anal. Model., 8, 48-69, 2011 [PDF]

  • Lili Chang, Wei Gong and Ningning Yan, Finite element method for a nonsmooth elliptic equation, Front. Math. China, 5, pp. 191-209, 2010 [PDF]

  • Dongyang Shi and Wei Gong, High accuracy analysis of fully discrete Galerkin approximations for parabolic equations on anisotropic meshes(Chinese), Acta Math. Sci. Ser. A Chin. Ed., 29. pp. 898-911, 2009.

  • Dongyang Shi and Wei Gong, A low order nonconforming anisotropic finite element approximation to parabolic problem, J. Syst. Sci. Complex, 22, pp. 518-532, 2009.

  • Wenbin Liu, Wei Gong and Ningning Yan, A new finite element approximation of a state-constrained optimal control problem, J. Comput. Math., 27(1), pp. 97-114, 2009.

  • Wei Gong and Ningning Yan, A posteriori error estimates for boundary control problems governed by the parabolic partial differential equations, J. Comput. Math., 27(1), pp. 68-88, 2009.

  • Wei Gong, Ruo Li, Ningning Yan and Weibo Zhao, An improved error analysis for finite element approximation of bioluminescence tomography, J. Comput. Math., 26(3), 297-309, 2008.

  • Dongyang Shi and Wei Gong, Nonconforming finite element approximations to a hyperbolic equation on anisotropic meshes (Chinese), Math. Appl.(Wuhan), 20, pp. 196-202, 2007.