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Wei GONG – Publication

Preprints

  • Dongdong Liang, Wei Gong and Xiaoping Xie, A new error analysis for parabolic Dirichlet boundary control problems, arXiv:2306.15911, 2023

  • Wei Gong and Zhiyu Tan, A new finite element method for elliptic optimal control problems with pointwise state constraints in energy spaces, arXiv:2306.03246, 2023

  • Wei Gong and Le Liu, On the well-posedness of tracking Dirichlet data for Bernoulli free boundary problems, arXiv:2305.03060, 2023

  • 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

Journal Papers

  • Xuejian Li, Xiaoming He, Wei Gong and Craig Douglas, Variational data assimilation with finite element discretization for second order parabolic interface equation, accepted to IMA J. Numer. Anal., 2024.

  • Wei Gong, Xiaodong Liu and Jing Wang, Hearing the triangles: A numerical perspective, CSIAM J. Appl. Math., Vol. 5, No. 1, pp. 58-72, 2024.

  • Wei Gong, Buyang Li and Qiqi Rao, Convergent evolving finite element approximations of boundary evolution under shape gradient flow, IMA J. Numer. Anal., DOI:10.1093/imanum/drad080, 2023. [PDF]

  • Wei Gong, Dongdong Liang and Xiaoping Xie, Pointwise error estimates for linear finite element approximation to elliptic Dirichlet problems in smooth domains, Adv. Comput. Math., 49(2023), no. 2, Paper No. 15. [PDF]

  • Xuejian Li, Wei Gong, Xiaoming He and Tao Lin, Variational data assimilation and its decoupled iterative numerical algorithms for Stokes-Darcy model, SIAM J. Sci. Comput., DOI:10.1137/22M1492994, 2023. [PDF]

  • 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., Vol. 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., 54(6), 2229-2264, 2020. [PDF] [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., 40(4), 2898-2939, 2020. [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.