Liang, Dongdong; Gong, Wei; Xie, Xiaoping Finite element error estimation for parabolic optimal control problems with pointwise observations. (English) Zbl 1499.49016 Numer. Math., Theory Methods Appl. 15, No. 1, 165-199 (2022). MSC: 49J20 65N15 65N30 PDFBibTeX XMLCite \textit{D. Liang} et al., Numer. Math., Theory Methods Appl. 15, No. 1, 165--199 (2022; Zbl 1499.49016) Full Text: DOI
Shen, Yue; Gong, Wei; Yan, Ningning Convergence of adaptive nonconforming finite element method for Stokes optimal control problems. (English) Zbl 1493.65231 J. Comput. Appl. Math. 412, Article ID 114336, 23 p. (2022). MSC: 65N30 65N50 65N12 49M41 76D07 76M10 35Q35 PDFBibTeX XMLCite \textit{Y. Shen} et al., J. Comput. Appl. Math. 412, Article ID 114336, 23 p. (2022; Zbl 1493.65231) Full Text: DOI
Gong, Wei; Tan, Zhiyu; Zhou, Zhaojie Optimal convergence of finite element approximation to an optimization problem with PDE constraint. (English) Zbl 1493.65202 Inverse Probl. 38, No. 4, Article ID 045004, 45 p. (2022). MSC: 65N30 49M41 65N12 65N21 65J20 35B45 35B65 35J15 PDFBibTeX XMLCite \textit{W. Gong} et al., Inverse Probl. 38, No. 4, Article ID 045004, 45 p. (2022; Zbl 1493.65202) Full Text: DOI
Gong, Wei; Liu, Wenbin; Tan, Zhiyu; Yan, Ningning A convergent adaptive finite element method for elliptic Dirichlet boundary control problems. (English) Zbl 1464.65174 IMA J. Numer. Anal. 39, No. 4, 1985-2015 (2019); corrigendum ibid. 40, No. 1, 800 (2020). MSC: 65N30 65N50 65N12 65N15 65K10 35B45 49M25 49J10 PDFBibTeX XMLCite \textit{W. Gong} et al., IMA J. Numer. Anal. 39, No. 4, 1985--2015 (2019; Zbl 1464.65174) Full Text: DOI Link
Gong, Wei; Tan, Zhiyu; Zhang, Shuo A robust optimal preconditioner for the mixed finite element discretization of elliptic optimal control problems. (English) Zbl 1499.65103 Numer. Linear Algebra Appl. 25, No. 1, e2129, 17 p. (2018). MSC: 65F08 49M25 65N30 PDFBibTeX XMLCite \textit{W. Gong} et al., Numer. Linear Algebra Appl. 25, No. 1, e2129, 17 p. (2018; Zbl 1499.65103) Full Text: DOI
Tan, Zhiyu; Gong, Wei; Yan, Ningning Overlapping domain decomposition preconditioners for unconstrained elliptic optimal control problems. (English) Zbl 1432.49043 Int. J. Numer. Anal. Model. 14, No. 4-5, 550-570 (2017). MSC: 49M25 65F08 65K10 65N30 65N55 PDFBibTeX XMLCite \textit{Z. Tan} et al., Int. J. Numer. Anal. Model. 14, No. 4--5, 550--570 (2017; Zbl 1432.49043) Full Text: Link
Gong, Wei; Hinze, Michael; Zhou, Zhaojie Finite element method and a priori error estimates for Dirichlet boundary control problems governed by parabolic PDEs. (English) Zbl 1372.49004 J. Sci. Comput. 66, No. 3, 941-967 (2016). MSC: 49J20 49K20 65N15 65N30 49M25 PDFBibTeX XMLCite \textit{W. Gong} et al., J. Sci. Comput. 66, No. 3, 941--967 (2016; Zbl 1372.49004) Full Text: DOI arXiv
Gong, Wei; Yan, Ningning Finite element approximations of parabolic optimal control problems with controls acting on a lower dimensional manifold. (English) Zbl 1343.49044 SIAM J. Numer. Anal. 54, No. 2, 1229-1262 (2016). Reviewer: Aygul Manapova (Ufa) MSC: 49M25 49J20 49K20 65N30 65N15 PDFBibTeX XMLCite \textit{W. Gong} and \textit{N. Yan}, SIAM J. Numer. Anal. 54, No. 2, 1229--1262 (2016; Zbl 1343.49044) Full Text: DOI Link
Chang, Lili; Gong, Wei; Sun, Guiquan; Yan, Ningning PDE-constrained optimal control approach for the approximation of an inverse Cauchy problem. (English) Zbl 1338.49006 Inverse Probl. Imaging 9, No. 3, 791-814 (2015). Reviewer: Costică Moroşanu (Iaşi) MSC: 49J20 49K20 49N45 49M25 65N21 65N30 PDFBibTeX XMLCite \textit{L. Chang} et al., Inverse Probl. Imaging 9, No. 3, 791--814 (2015; Zbl 1338.49006) Full Text: DOI
Gong, Wei; Wang, Gengsheng; Yan, Ningning Approximations of elliptic optimal control problems with controls acting on a lower dimensional manifold. (English) Zbl 1298.49048 SIAM J. Control Optim. 52, No. 3, 2008-2035 (2014). MSC: 49M25 49J20 49K20 65N30 65N15 PDFBibTeX XMLCite \textit{W. Gong} et al., SIAM J. Control Optim. 52, No. 3, 2008--2035 (2014; Zbl 1298.49048) Full Text: DOI
Gong, Wei; Hinze, Michael; Zhou, Zhaojie A priori error analysis for finite element approximation of parabolic optimal control problems with pointwise control. (English) Zbl 1297.49050 SIAM J. Control Optim. 52, No. 1, 97-119 (2014). Reviewer: Bülent Karasözen (Ankara) MSC: 49M25 49J20 65N15 65N30 PDFBibTeX XMLCite \textit{W. Gong} et al., SIAM J. Control Optim. 52, No. 1, 97--119 (2014; Zbl 1297.49050) Full Text: DOI
Gong, Wei; Hinze, Michael Error estimates for parabolic optimal control problems with control and state constraints. (English) Zbl 1273.49036 Comput. Optim. Appl. 56, No. 1, 131-151 (2013). MSC: 49M25 49K20 PDFBibTeX XMLCite \textit{W. Gong} and \textit{M. Hinze}, Comput. Optim. Appl. 56, No. 1, 131--151 (2013; Zbl 1273.49036) Full Text: DOI
Gong, Wei; Yan, Ningning Robust error estimates for the finite element approximation of elliptic optimal control problems. (English) Zbl 1239.65039 J. Comput. Appl. Math. 236, No. 6, 1370-1381 (2011). Reviewer: John T. Coletsos (Athens) MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{W. Gong} and \textit{N. Yan}, J. Comput. Appl. Math. 236, No. 6, 1370--1381 (2011; Zbl 1239.65039) Full Text: DOI
Gong, Wei; Yan, Ningning Mixed finite element method for Dirichlet boundary control problem governed by elliptic PDEs. (English) Zbl 1228.49034 SIAM J. Control Optim. 49, No. 3, 984-1014 (2011). MSC: 49M25 65N30 35J25 PDFBibTeX XMLCite \textit{W. Gong} and \textit{N. Yan}, SIAM J. Control Optim. 49, No. 3, 984--1014 (2011; Zbl 1228.49034) Full Text: DOI
Gong, Wei; Yan, Ningning A mixed finite element scheme for optimal control problems with pointwise state constraints. (English) Zbl 1239.65038 J. Sci. Comput. 46, No. 2, 182-203 (2011). Reviewer: Ctirad Matonoha (Prague) MSC: 65K10 65K15 49J40 49M25 49J20 PDFBibTeX XMLCite \textit{W. Gong} and \textit{N. Yan}, J. Sci. Comput. 46, No. 2, 182--203 (2011; Zbl 1239.65038) Full Text: DOI
Gong, Wei; Liu, Wenbin; Yan, Ningning A posteriori error estimators for \(hp\)-FEM for optimal control problems. (English) Zbl 1213.49038 Int. J. Numer. Anal. Model. 8, No. 1, 48-69 (2011). MSC: 49M30 65N30 PDFBibTeX XMLCite \textit{W. Gong} et al., Int. J. Numer. Anal. Model. 8, No. 1, 48--69 (2011; Zbl 1213.49038) Full Text: Link
Liu, Wenbin; Gong, Wei; Yan, Ningning A new finite element approximation of a state-constrained optimal control problem. (English) Zbl 1199.49067 J. Comput. Math. 27, No. 1, 97-114 (2009). MSC: 49M30 65N30 49J40 35J20 PDFBibTeX XMLCite \textit{W. Liu} et al., J. Comput. Math. 27, No. 1, 97--114 (2009; Zbl 1199.49067)
Gong, Wei; Li, Ruo; Yan, Ningning; Zhao, Weibo An improved error analysis for finite element approximation of bioluminescence tomography. (English) Zbl 1174.65024 J. Comput. Math. 26, No. 3, 297-309 (2008). MSC: 65K10 92C55 49J20 49M15 PDFBibTeX XMLCite \textit{W. Gong} et al., J. Comput. Math. 26, No. 3, 297--309 (2008; Zbl 1174.65024)