# jemdoc: menu{MENU}{publication.html}, showsource
= Wei GONG -- Publication

== Submitted Papers
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- Gong, Huipo Liu, Ningning Yan, A posteriori error analysis for finite element approximations of parabolic equations with measure data, submitted, Sep. 2015 \[[http://lsec.cc.ac.cn/~wgong/Publication/Gong_Liu_Yan_2015.pdf PDF]\]

- Wei Gong and Ningning Yan, Adaptive finite element method for elliptic optimal control problems: convergence and optimality, arXiv:1505.01632, submitted, May, 2015 \[[http://arxiv.org/abs/1505.01632 PDF]\]

- Wei Gong and Ningning Yan, Finite element approximations of parabolic optimal control problems with controls acting on a lower dimensional manifold, submitted, Jan. 2015 \[[http://lsec.cc.ac.cn/~wgong/Publication/Gong_Yan_2015.pdf PDF]\]

- Wei Gong, Xiliang Lu, Ningning Yan, A parareal in time algorithm for the optimal control of evolution equations, submitted, Dec. 2014
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== Journal Papers
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- Wei Gong, Hehu Xie, 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 \[[http://epubs.siam.org/doi/10.1137/140990255 PDF]\]

- Wei Gong, Michael Hinze, Zhaojie Zhou, Finite element method for Dirichlet boundary control problems governed by parabolic PDEs, arXiv:1410.0136, J. Sci. Comput., DOI: 10.1007/s10915-015-0051-2, 2015 \[[http://link.springer.com/article/10.1007/s10915-015-0051-2 PDF]\]

- Min Yan, Wei Gong, Ningning Yan, Finite element methods for elliptic optimal control problems with boundary observations, Appl. Numer. Math., Volume 90, Pages 190–207, 2015. \[[http://www.sciencedirect.com/science/article/pii/S0168927414002116 PDF]\]

- Wei Gong, Gengsheng Wang, 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 \[[http://epubs.siam.org/doi/abs/10.1137/13091213X PDF]\]

- Wei Gong, Michael Hinze, 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 \[[http://epubs.siam.org/doi/abs/10.1137/110840133 PDF]\]

- Lili Chang, Wei Gong, Ningning Yan, Numerical analysis for the approximation of optimal control problems with pointwise observations, Math. Meth. Appl. Sci., DOI:10.1002/mma.2861, 2013 \[[http://onlinelibrary.wiley.com/doi/10.1002/mma.2861/abstract PDF]\]

- Wei Gong, Michael Hinze, Error estimates for parabolic optimal control problems with control and state constraints, Comput. Optim. Appl., 56(1), pp. 131-151, 2013 \[[http://link.springer.com/article/10.1007/s10589-013-9541-z PDF]\]

- Wei Gong, Error estimates for finite element approximations of parabolic equations with measure data, Math. Comput., 82, pp. 69-98, 2013 \[[http://www.ams.org/journals/mcom/2013-82-281/S0025-5718-2012-02630-5/home.html PDF]\]

- Wei Gong, Michael Hinze, Zhaojie Zhou, Space-time finite element approximation of parabolic optimal control problems, J. Numer. Math., 20, pp. 11-145, 2012 \[[http://www.degruyter.com/view/j/jnma.2012.20.issue-2/jnum-2012-0005/jnum-2012-0005.xml?format=INT PDF]\]

- Dongyang Shi, Jincheng Ren, 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, Ningning Yan, Mixed finite element method for Dirichlet boundary control problem governed by elliptic PDEs, SIAM J. Control Optim., 49, pp. 984-1014, 2011 \[[http://epubs.siam.org/doi/abs/10.1137/100795632 PDF]\]

- Wei Gong, Ningning Yan, Robust error estimates for the finite element approximation of elliptic optimal control problems, J. Comput. Appl. Math., 236, pp. 1370-1381, 2011 \[[http://www.sciencedirect.com/science/article/pii/S0377042711004717 PDF]\]

- Dongyang Shi, Jinchen Ren, 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, 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, Ningning Yan, A mixed finite element scheme for optimal control problems with pointwise state constraints, J. Sci. Comput., 46, pp. 182-203, 2011 \[[http://link.springer.com/article/10.1007/s10915-010-9392-z PDF]\]

- Wei Gong, Wenbin Liu, Ningning Yan, A posteriori error estimates of hp-FEM for optimal control problems, Int. J. Numer. Anal. Model., 8, 48-69, 2011 \[[http://www.math.ualberta.ca/ijnam/Volume-8-2011/No-1-11/2011-01-03.pdf PDF]\]

- Lili Chang, Wei Gong, Ningning Yan, Finite element method for a nonsmooth elliptic equation, Front. Math. China, 5, pp. 191-209, 2010 \[[http://link.springer.com/article/10.1007/s11464-010-0001-0 PDF]\]

- Dongyang Shi, 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, 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, Ningning Yan, A new finite element approximation of a state-constrained optimal control problem, J. Comput. Math., 27, pp. 97-114, 2009.

- Wei Gong, Ningning Yan, A posteriori error estimates for boundary control problems governed by the parabolic partial differential equations, J. Comput. Math., 26, pp. 68-88, 2009.

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

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