Xu, Changling; Li, Huilai Two-grid methods of finite element approximation for parabolic integro-differential optimal control problems. (English) Zbl 07804369 Electron. Res. Arch. 31, No. 8, 4818-4842 (2023). MSC: 65N55 65N50 65M60 65M06 65N30 65M12 65M15 35R09 49M25 49K20 93C20 PDFBibTeX XMLCite \textit{C. Xu} and \textit{H. Li}, Electron. Res. Arch. 31, No. 8, 4818--4842 (2023; Zbl 07804369) Full Text: DOI
Zhang, Qian; Zhang, Zhiyue Nitsche’s method for elliptic Dirichlet boundary control problems on curved domains. (English) Zbl 07736699 Numer. Algorithms 94, No. 2, 511-545 (2023). MSC: 65Nxx 49J20 65N30 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{Z. Zhang}, Numer. Algorithms 94, No. 2, 511--545 (2023; Zbl 07736699) Full Text: DOI
Du, Shaohong; He, Xiaoxia Finite element approximation to optimal Dirichlet boundary control problem: a priori and a posteriori error estimates. (English) Zbl 1524.65792 Comput. Math. Appl. 131, 14-25 (2023). MSC: 65N30 49J20 49M25 65K10 65N15 35J25 PDFBibTeX XMLCite \textit{S. Du} and \textit{X. He}, Comput. Math. Appl. 131, 14--25 (2023; Zbl 1524.65792) Full Text: DOI
Xiong, Meixin; Chen, Liuhong; Ming, Ju; Hou, Lisheng Cluster-based gradient method for stochastic optimal control problems with elliptic partial differential equation constraint. (English) Zbl 07779682 Numer. Methods Partial Differ. Equations 38, No. 6, 1861-1879 (2022). MSC: 65N30 62D05 65C05 93E20 49M41 35R60 PDFBibTeX XMLCite \textit{M. Xiong} et al., Numer. Methods Partial Differ. Equations 38, No. 6, 1861--1879 (2022; Zbl 07779682) Full Text: DOI
Vieira, Alexandre; Bastide, Alain; Cocquet, Pierre-Henri Topology optimization for steady-state anisothermal flow targeting solids with piecewise constant thermal diffusivity. (English) Zbl 1498.74065 Appl. Math. Optim. 85, No. 3, Paper No. 41, 32 p. (2022). MSC: 74P15 74F10 76D05 76D55 35Q74 35Q35 PDFBibTeX XMLCite \textit{A. Vieira} et al., Appl. Math. Optim. 85, No. 3, Paper No. 41, 32 p. (2022; Zbl 1498.74065) Full Text: DOI
Manohar, Ram; Sinha, Rajen Kumar Elliptic reconstruction and a posteriori error estimates for fully discrete semilinear parabolic optimal control problems. (English) Zbl 1499.49020 J. Comput. Math. 40, No. 2, 147-176 (2022). MSC: 49J20 65J15 65N30 PDFBibTeX XMLCite \textit{R. Manohar} and \textit{R. K. Sinha}, J. Comput. Math. 40, No. 2, 147--176 (2022; Zbl 1499.49020) Full Text: DOI
Bornia, Giorgio; Chierici, Andrea; Ratnavale, Saikanth A comparison of regularization methods for boundary optimal control problems. (English) Zbl 1487.49046 Int. J. Numer. Anal. Model. 19, No. 2-3, 329-346 (2022). MSC: 49N60 49M25 35R11 PDFBibTeX XMLCite \textit{G. Bornia} et al., Int. J. Numer. Anal. Model. 19, No. 2--3, 329--346 (2022; Zbl 1487.49046) Full Text: Link
Chen, Liuhong; Xiong, Meixin; Ming, Ju Reduced approach for stochastic optimal control problems. (English) Zbl 1490.93128 Int. J. Numer. Anal. Model. 19, No. 2-3, 237-254 (2022). MSC: 93E20 35R60 93C20 65N30 PDFBibTeX XMLCite \textit{L. Chen} et al., Int. J. Numer. Anal. Model. 19, No. 2--3, 237--254 (2022; Zbl 1490.93128) Full Text: Link
Gao, Yu; Li, Jingzhi; Song, Yongcun; Wang, Chao; Zhang, Kai Alternating direction based method for optimal control problem constrained by Stokes equation. (English) Zbl 1485.90133 J. Inverse Ill-Posed Probl. 30, No. 1, 81-99 (2022). MSC: 90C30 90C33 65N30 PDFBibTeX XMLCite \textit{Y. Gao} et al., J. Inverse Ill-Posed Probl. 30, No. 1, 81--99 (2022; Zbl 1485.90133) Full Text: DOI
Xu, C. A priori error estimates and superconvergence of \(P_0^2-P_1\) mixed finite element methods for elliptic boundary control problems. (Russian. English summary) Zbl 1501.65134 Sib. Zh. Vychisl. Mat. 24, No. 1, 63-76 (2021). MSC: 65N30 65N15 65N12 49M41 PDFBibTeX XMLCite \textit{C. Xu}, Sib. Zh. Vychisl. Mat. 24, No. 1, 63--76 (2021; Zbl 1501.65134) Full Text: DOI MNR
Chowdhury, Sudipto; Nataraj, Neela; Shylaja, Devika Morley FEM for a distributed optimal control problem governed by the von Kármán equations. (English) Zbl 1477.49041 Comput. Methods Appl. Math. 21, No. 1, 233-262 (2021). MSC: 49M05 49M25 65N15 65N30 PDFBibTeX XMLCite \textit{S. Chowdhury} et al., Comput. Methods Appl. Math. 21, No. 1, 233--262 (2021; Zbl 1477.49041) Full Text: DOI
Du, Shaohong; Cai, Zhiqiang Adaptive finite element method for Dirichlet boundary control of elliptic partial differential equations. (English) Zbl 1480.65332 J. Sci. Comput. 89, No. 2, Paper No. 36, 25 p. (2021). MSC: 65N30 65N06 65N12 65N15 65J15 PDFBibTeX XMLCite \textit{S. Du} and \textit{Z. Cai}, J. Sci. Comput. 89, No. 2, Paper No. 36, 25 p. (2021; Zbl 1480.65332) Full Text: DOI arXiv
Lee, Hyung-Chun Efficient computations for linear feedback control problems for target velocity matching of Navier-Stokes flows via POD and LSTM-ROM. (English) Zbl 1465.76035 Electron. Res. Arch. 29, No. 3, 2533-2552 (2021). MSC: 76D55 76D05 76M10 93B52 PDFBibTeX XMLCite \textit{H.-C. Lee}, Electron. Res. Arch. 29, No. 3, 2533--2552 (2021; Zbl 1465.76035) Full Text: DOI
Cocquet, Pierre-Henri; Rakotobe, Michaël; Ramalingom, Delphine; Bastide, Alain Error analysis for the finite element approximation of the Darcy-Brinkman-Forchheimer model for porous media with mixed boundary conditions. (English) Zbl 1469.65163 J. Comput. Appl. Math. 381, Article ID 113008, 23 p. (2021). Reviewer: Vladimir Vasilyev (Belgorod) MSC: 65N30 65N15 76S05 76D05 35A01 35A02 35Q35 PDFBibTeX XMLCite \textit{P.-H. Cocquet} et al., J. Comput. Appl. Math. 381, Article ID 113008, 23 p. (2021; Zbl 1469.65163) Full Text: DOI HAL
Hwang, Yoongu; Lee, Jangwoon; Lee, Jeehyun; Yoon, Myoungho A domain decomposition algorithm for optimal control problems governed by elliptic PDEs with random inputs. (English) Zbl 1433.65114 Appl. Math. Comput. 364, Article ID 124674, 14 p. (2020). MSC: 65K10 49M41 65N30 93C20 PDFBibTeX XMLCite \textit{Y. Hwang} et al., Appl. Math. Comput. 364, Article ID 124674, 14 p. (2020; Zbl 1433.65114) Full Text: DOI
Hou, Tianliang; Leng, Haitao Superconvergence analysis and two-grid algorithms of pseudostress-velocity MFEM for optimal control problems governed by Stokes equations. (English) Zbl 1462.65190 Appl. Numer. Math. 138, 78-93 (2019). MSC: 65N30 65N12 65N15 65N55 49M25 76D07 76M10 PDFBibTeX XMLCite \textit{T. Hou} and \textit{H. Leng}, Appl. Numer. Math. 138, 78--93 (2019; Zbl 1462.65190) Full Text: DOI
Chen, Hongbo; Hou, Tianliang A priori and a posteriori error estimates of \(H^1\)-Galerkin mixed finite element methods for optimal control problems governed by pseudo-hyperbolic integro-differential equations. (English) Zbl 1427.49002 Appl. Math. Comput. 328, 100-112 (2018). MSC: 49J20 65M15 65M60 PDFBibTeX XMLCite \textit{H. Chen} and \textit{T. Hou}, Appl. Math. Comput. 328, 100--112 (2018; Zbl 1427.49002) Full Text: DOI
Huang, Fenglin; Zheng, Zhong; Peng, Yucheng Error estimates of the space-time spectral method for parabolic control problems. (English) Zbl 1409.49028 Comput. Math. Appl. 75, No. 2, 335-348 (2018). MSC: 49M25 49J20 65M15 PDFBibTeX XMLCite \textit{F. Huang} et al., Comput. Math. Appl. 75, No. 2, 335--348 (2018; Zbl 1409.49028) Full Text: DOI
Mallik, Gouranga; Nataraj, Neela; Raymond, Jean-Pierre Error estimates for the numerical approximation of a distributed optimal control problem governed by the von Kármán equations. (English) Zbl 1405.65153 ESAIM, Math. Model. Numer. Anal. 52, No. 3, 1137-1172 (2018). MSC: 65N30 65N15 49M05 49M25 49K20 35Q74 74K20 PDFBibTeX XMLCite \textit{G. Mallik} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 3, 1137--1172 (2018; Zbl 1405.65153) Full Text: DOI arXiv
Lu, Zuliang; Cao, Longzhou; Li, Lin Interpolation coefficients mixed finite element methods for general semilinear Dirichlet boundary elliptic optimal control problems. (English) Zbl 1401.49036 Appl. Anal. 97, No. 14, 2496-2509 (2018). MSC: 49M25 49J20 65N30 PDFBibTeX XMLCite \textit{Z. Lu} et al., Appl. Anal. 97, No. 14, 2496--2509 (2018; Zbl 1401.49036) Full Text: DOI
Choi, Youngmi; Lee, Hyung-Chun Error analysis of finite element approximations of the optimal control problem for stochastic Stokes equations with additive white noise. (English) Zbl 1397.65255 Appl. Numer. Math. 133, 144-160 (2018). MSC: 65N30 35R60 60H15 35Q93 35Q30 60H35 76D07 PDFBibTeX XMLCite \textit{Y. Choi} and \textit{H.-C. Lee}, Appl. Numer. Math. 133, 144--160 (2018; Zbl 1397.65255) Full Text: DOI
Li, Dingfang; Huang, Fenglin; Shi, Xiulian Error analysis and simulation of Galerkin spectral approximation for flow optimal control with state constraint. (English) Zbl 1448.65254 Numer. Funct. Anal. Optim. 39, No. 9, 967-989 (2018). MSC: 65N35 49J20 49M25 65N30 35Q30 76D07 76D55 76M10 76M22 42C10 PDFBibTeX XMLCite \textit{D. Li} et al., Numer. Funct. Anal. Optim. 39, No. 9, 967--989 (2018; Zbl 1448.65254) Full Text: DOI
Tang, Yuelong; Hua, Yuchun A superconvergent \(L^{\infty}\)-error estimate of RT1 mixed methods for elliptic control problems with an integral constraint. (English) Zbl 1474.49013 J. Appl. Anal. Comput. 7, No. 3, 1037-1050 (2017). MSC: 49J20 65N30 PDFBibTeX XMLCite \textit{Y. Tang} and \textit{Y. Hua}, J. Appl. Anal. Comput. 7, No. 3, 1037--1050 (2017; Zbl 1474.49013) Full Text: DOI
Hou, Tianliang; Zhang, Jiaqi; Li, Yanzhong; Yang, Yueting New elliptic projections and a priori error estimates of \(H^1\)-Galerkin mixed finite element methods for optimal control problems governed by parabolic integro-differential equations. (English) Zbl 1426.49005 Appl. Math. Comput. 311, 29-46 (2017). MSC: 49J20 65M15 65M60 PDFBibTeX XMLCite \textit{T. Hou} et al., Appl. Math. Comput. 311, 29--46 (2017; Zbl 1426.49005) Full Text: DOI
Hou, Tianliang; Liu, Chunmei; Yang, Yin Error estimates and superconvergence of a mixed finite element method for elliptic optimal control problems. (English) Zbl 1385.49021 Comput. Math. Appl. 74, No. 4, 714-726 (2017). MSC: 49M25 49K20 65N15 65N12 65N30 PDFBibTeX XMLCite \textit{T. Hou} et al., Comput. Math. Appl. 74, No. 4, 714--726 (2017; Zbl 1385.49021) Full Text: DOI
Liu, Huipo; Wang, Shuanghu A two-grid discretization scheme for optimal control problems of elliptic equations. (English) Zbl 1360.65178 Numer. Algorithms 74, No. 3, 699-716 (2017). Reviewer: Hans Benker (Merseburg) MSC: 65K10 49J20 65N30 49M25 PDFBibTeX XMLCite \textit{H. Liu} and \textit{S. Wang}, Numer. Algorithms 74, No. 3, 699--716 (2017; Zbl 1360.65178) Full Text: DOI
Hou, Tianliang; Li, Li Error estimates of mixed methods for optimal control problems governed by general elliptic equations. (English) Zbl 1488.49009 Adv. Appl. Math. Mech. 8, No. 6, 1050-1071 (2016). MSC: 49J20 65N30 PDFBibTeX XMLCite \textit{T. Hou} and \textit{L. Li}, Adv. Appl. Math. Mech. 8, No. 6, 1050--1071 (2016; Zbl 1488.49009) Full Text: DOI
Huang, Fenglin; Chen, Yanping; Shi, Xiulian Equivalent a posteriori error estimator of spectral approximation for control problems with integral control-state constraints in one dimension. (English) Zbl 1488.49010 Adv. Appl. Math. Mech. 8, No. 3, 464-484 (2016). MSC: 49J20 65K15 65M12 65M70 PDFBibTeX XMLCite \textit{F. Huang} et al., Adv. Appl. Math. Mech. 8, No. 3, 464--484 (2016; Zbl 1488.49010) Full Text: DOI
Hou, Tianliang; Li, Li Superconvergence and a posteriori error estimates of splitting positive definite mixed finite element methods for elliptic optimal control problems. (English) Zbl 1410.49033 Appl. Math. Comput. 273, 1196-1207 (2016). MSC: 49M25 49J20 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{T. Hou} and \textit{L. Li}, Appl. Math. Comput. 273, 1196--1207 (2016; Zbl 1410.49033) Full Text: DOI
Chen, Yanping; Huang, Fenglin Galerkin spectral approximation of elliptic optimal control problems with \(H^1\)-norm state constraint. (English) Zbl 1342.65148 J. Sci. Comput. 67, No. 1, 65-83 (2016). Reviewer: Bülent Karasözen (Ankara) MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{F. Huang}, J. Sci. Comput. 67, No. 1, 65--83 (2016; Zbl 1342.65148) Full Text: DOI
Hou, Tianliang A priori and a posteriori error estimates of \(H^1\)-Galerkin mixed finite element methods for elliptic optimal control problems. (English) Zbl 1443.65336 Comput. Math. Appl. 70, No. 10, 2542-2554 (2015). MSC: 65N30 65N15 49K20 49M25 PDFBibTeX XMLCite \textit{T. Hou}, Comput. Math. Appl. 70, No. 10, 2542--2554 (2015; Zbl 1443.65336) Full Text: DOI
Li, Li A global superconvergent \(L^{\infty}\)-error estimate of mixed finite element methods for semilinear elliptic optimal control problems. (English) Zbl 1447.49006 J. Appl. Anal. Comput. 5, No. 3, 313-328 (2015). MSC: 49J20 65N30 PDFBibTeX XMLCite \textit{L. Li}, J. Appl. Anal. Comput. 5, No. 3, 313--328 (2015; Zbl 1447.49006) Full Text: DOI
Chang, Yanzhen; Cao, Weidong; Yang, Danping; Sun, Tongjun; Liu, Wenbin Finite element approximation of optimal control for system governed by immiscible displacement in porous media. (English) Zbl 1499.65486 Int. J. Numer. Anal. Model. 11, No. 4, 688-714 (2014). MSC: 65M60 49M25 49J20 65M15 76S05 76T06 76M10 35Q35 PDFBibTeX XMLCite \textit{Y. Chang} et al., Int. J. Numer. Anal. Model. 11, No. 4, 688--714 (2014; Zbl 1499.65486) Full Text: Link
Huang, Fenglin; Chen, Yanping Error estimates for spectral approximation of elliptic control problems with integral state and control constraints. (English) Zbl 1362.49014 Comput. Math. Appl. 68, No. 8, 789-803 (2014). MSC: 49K20 35J15 65N15 65N35 65N30 49M30 PDFBibTeX XMLCite \textit{F. Huang} and \textit{Y. Chen}, Comput. Math. Appl. 68, No. 8, 789--803 (2014; Zbl 1362.49014) Full Text: DOI
Lee, Jangwoon; Lee, Jeehyun; Hwang, Yoongu An optimization based domain decomposition method for PDEs with random inputs. (English) Zbl 1361.35210 Comput. Math. Appl. 68, No. 12, Part B, 2262-2276 (2014). MSC: 35R60 65N55 60H15 65N30 35J15 PDFBibTeX XMLCite \textit{J. Lee} et al., Comput. Math. Appl. 68, No. 12, Part B, 2262--2276 (2014; Zbl 1361.35210) Full Text: DOI
Lu, Zuliang A posteriori error estimates of fully discrete finite-element schemes for nonlinear parabolic integro-differential optimal control problems. (English) Zbl 1343.49009 Adv. Difference Equ. 2014, Paper No. 15, 14 p. (2014). MSC: 49J20 65N30 PDFBibTeX XMLCite \textit{Z. Lu}, Adv. Difference Equ. 2014, Paper No. 15, 14 p. (2014; Zbl 1343.49009) Full Text: DOI
Naseri, R.; Malek, A. Numerical optimal control for problems with random forced SPDE constraints. (English) Zbl 1298.65153 ISRN Appl. Math. 2014, Article ID 974305, 11 p. (2014). MSC: 65M75 60H35 49M37 60H15 93E20 PDFBibTeX XMLCite \textit{R. Naseri} and \textit{A. Malek}, ISRN Appl. Math. 2014, Article ID 974305, 11 p. (2014; Zbl 1298.65153) Full Text: DOI
Lu, Zuliang; Chen, Yanping A priori error estimates of mixed finite element methods for general semilinear elliptic optimal control problems. (English) Zbl 1329.65132 Comput. Math. Model. 24, No. 1, 114-135 (2013). MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{Z. Lu} and \textit{Y. Chen}, Comput. Math. Model. 24, No. 1, 114--135 (2013; Zbl 1329.65132) Full Text: DOI
Lu, Zuliang Adaptive fully-discrete finite element methods for nonlinear quadratic parabolic boundary optimal control. (English) Zbl 1295.65077 Bound. Value Probl. 2013, Paper No. 72, 18 p. (2013). MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{Z. Lu}, Bound. Value Probl. 2013, Paper No. 72, 18 p. (2013; Zbl 1295.65077) Full Text: DOI
Chen, Yanping; Lu, Zuliang; Fu, Min A posteriori error estimates for mixed finite element approximation of nonlinear quadratic optimal control problems. (English) Zbl 1264.49031 Optim. Methods Softw. 28, No. 1, 37-53 (2013). MSC: 49M25 49J20 65N30 PDFBibTeX XMLCite \textit{Y. Chen} et al., Optim. Methods Softw. 28, No. 1, 37--53 (2013; Zbl 1264.49031) Full Text: DOI
Bin-Mohsin, B.; Lesnic, D. Identification of a corroded boundary and its Robin coefficient. (English) Zbl 1287.65104 East Asian J. Appl. Math. 2, No. 2, 126-149 (2012). MSC: 65N21 35J05 65N80 65N20 65N12 PDFBibTeX XMLCite \textit{B. Bin-Mohsin} and \textit{D. Lesnic}, East Asian J. Appl. Math. 2, No. 2, 126--149 (2012; Zbl 1287.65104) Full Text: DOI
Chen, Yanping; Lu, Zuliang; Guo, Ruyi Error estimates of triangular mixed finite element methods for quasilinear optimal control problems. (English) Zbl 1252.49049 Front. Math. China 7, No. 3, 397-413 (2012). MSC: 49M25 49J20 65N30 35J66 PDFBibTeX XMLCite \textit{Y. Chen} et al., Front. Math. China 7, No. 3, 397--413 (2012; Zbl 1252.49049) Full Text: DOI
Chen, Yanping; Xia, Nianshi; Yi, Nianyu A Legendre Galerkin spectral method for optimal control problems. (English) Zbl 1256.49035 J. Syst. Sci. Complex. 24, No. 4, 663-671 (2011). MSC: 49M25 35Q93 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Syst. Sci. Complex. 24, No. 4, 663--671 (2011; Zbl 1256.49035) Full Text: DOI
Lu, Zuliang Existence and uniqueness of second order parabolic bilinear optimal control problems. (English) Zbl 1255.49010 Lobachevskii J. Math. 32, No. 4, 320-327 (2011). MSC: 49J20 49K20 PDFBibTeX XMLCite \textit{Z. Lu}, Lobachevskii J. Math. 32, No. 4, 320--327 (2011; Zbl 1255.49010) Full Text: DOI
Lu, Zuliang Adaptive mixed finite element methods for nonlinear optimal control problems. (English) Zbl 1255.49046 Lobachevskii J. Math. 32, No. 1, 1-15 (2011). MSC: 49M25 35J61 65N30 PDFBibTeX XMLCite \textit{Z. Lu}, Lobachevskii J. Math. 32, No. 1, 1--15 (2011; Zbl 1255.49046) Full Text: DOI
Lu, Zuliang Adaptive mixed finite element methods for parabolic optimal control problems. (English) Zbl 1235.65135 Math. Probl. Eng. 2011, Article ID 217493, 21 p. (2011). MSC: 65N30 35K99 PDFBibTeX XMLCite \textit{Z. Lu}, Math. Probl. Eng. 2011, Article ID 217493, 21 p. (2011; Zbl 1235.65135) 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
Sun, Tongjun Discontinuous Galerkin finite element method with interior penalties for convection diffusion optimal control problem. (English) Zbl 1499.65529 Int. J. Numer. Anal. Model. 7, No. 1, 87-107 (2010). MSC: 65M60 49M25 49J20 65M15 PDFBibTeX XMLCite \textit{T. Sun}, Int. J. Numer. Anal. Model. 7, No. 1, 87--107 (2010; Zbl 1499.65529) Full Text: Link
Chen, Yanping; Lu, Zuliang Error estimates of fully discrete mixed finite element methods for semilinear quadratic parabolic optimal control problem. (English) Zbl 1231.65152 Comput. Methods Appl. Mech. Eng. 199, No. 23-24, 1415-1423 (2010). MSC: 65M15 65M60 65K10 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Z. Lu}, Comput. Methods Appl. Mech. Eng. 199, No. 23--24, 1415--1423 (2010; Zbl 1231.65152) Full Text: DOI
Chen, Yanping; Liu, Lingli; Lu, Zuliang A posteriori error estimates of mixed methods for parabolic optimal control problems. (English) Zbl 1219.49025 Numer. Funct. Anal. Optim. 31, No. 10, 1135-1157 (2010). MSC: 49M25 65N30 35K20 PDFBibTeX XMLCite \textit{Y. Chen} et al., Numer. Funct. Anal. Optim. 31, No. 10, 1135--1157 (2010; Zbl 1219.49025) Full Text: DOI
Chen, Yanping; Huang, Yunqing; Liu, Wenbin; Yan, Ningning Error estimates and superconvergence of mixed finite element methods for convex optimal control problems. (English) Zbl 1203.49042 J. Sci. Comput. 42, No. 3, 382-403 (2010). MSC: 49M25 65N15 65N30 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Sci. Comput. 42, No. 3, 382--403 (2010; Zbl 1203.49042) Full Text: DOI
Lu, Z. L.; Chen, Y. P.; Zhang, H. W. A priori error analysis of mixed methods for nonlinear quadratic optimal control problems. (English) Zbl 1172.65033 Lobachevskii J. Math. 29, No. 3, 164-174 (2008). Reviewer: Vasilis Dimitriou (Chania) MSC: 65K10 49J20 49M15 PDFBibTeX XMLCite \textit{Z. L. Lu} et al., Lobachevskii J. Math. 29, No. 3, 164--174 (2008; Zbl 1172.65033) Full Text: DOI
Feng, Tao; Yan, Ningning; Liu, Wenbin Adaptive finite element methods for the identification of distributed parameters in elliptic equation. (English) Zbl 1148.65086 Adv. Comput. Math. 29, No. 1, 27-53 (2008). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 65N21 35J25 35R30 65N30 PDFBibTeX XMLCite \textit{T. Feng} et al., Adv. Comput. Math. 29, No. 1, 27--53 (2008; Zbl 1148.65086) Full Text: DOI
Chen, Yanping; Liu, Wenbin A posteriori error estimates for mixed finite element solutions of convex optimal control problems. (English) Zbl 1165.65034 J. Comput. Appl. Math. 211, No. 1, 76-89 (2008). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K10 49J20 65N30 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{W. Liu}, J. Comput. Appl. Math. 211, No. 1, 76--89 (2008; Zbl 1165.65034) Full Text: DOI
Liu, Huipo; Yan, Ningning Recovery type superconvergence and a posteriori error estimates for control problems governed by Stokes equations. (English) Zbl 1140.65053 J. Comput. Appl. Math. 209, No. 2, 187-207 (2007). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K10 49J20 49M15 PDFBibTeX XMLCite \textit{H. Liu} and \textit{N. Yan}, J. Comput. Appl. Math. 209, No. 2, 187--207 (2007; Zbl 1140.65053) Full Text: DOI
Chrysafinos, K.; Gunzburger, M. D.; Hou, L. S. Semidiscrete approximations of optimal Robin boundary control problems constrained by semilinear parabolic PDE. (English) Zbl 1259.49045 J. Math. Anal. Appl. 323, No. 2, 891-912 (2006). MSC: 49M25 35K20 49J20 PDFBibTeX XMLCite \textit{K. Chrysafinos} et al., J. Math. Anal. Appl. 323, No. 2, 891--912 (2006; Zbl 1259.49045) Full Text: DOI
Gunzburger, M. D.; Hou, L. S.; Zhu, W. Fully discrete finite element approximations of the forced Fisher equation. (English) Zbl 1095.65094 J. Math. Anal. Appl. 313, No. 2, 419-440 (2006). Reviewer: Xavier Antoine (Vandœuvre-lès-Nancy) MSC: 65M60 35K55 65M15 92D25 35Q80 PDFBibTeX XMLCite \textit{M. D. Gunzburger} et al., J. Math. Anal. Appl. 313, No. 2, 419--440 (2006; Zbl 1095.65094) Full Text: DOI
Sampath, Rajiv; Zabaras, Nicholas A functional optimization approach to an inverse magneto-convection problem. (English) Zbl 1063.76109 Comput. Methods Appl. Mech. Eng. 190, No. 15-17, 2063-2097 (2001). Reviewer: Ivan Abonyi (Budapest) MSC: 76W05 76M10 PDFBibTeX XMLCite \textit{R. Sampath} and \textit{N. Zabaras}, Comput. Methods Appl. Mech. Eng. 190, No. 15--17, 2063--2097 (2001; Zbl 1063.76109) Full Text: DOI
Bochev, P. B.; Bedivan, D. M. Least-squares methods for Navier-Stokes boundary control problems. (English) Zbl 0913.76065 Int. J. Comput. Fluid Dyn. 9, No. 1, 43-58 (1997). MSC: 76M25 76D05 93C20 65K10 PDFBibTeX XMLCite \textit{P. B. Bochev} and \textit{D. M. Bedivan}, Int. J. Comput. Fluid Dyn. 9, No. 1, 43--58 (1997; Zbl 0913.76065) Full Text: DOI
Bedivan, Dana M. Existence of a solution for complete least squares optimal shape problems. (English) Zbl 0895.35042 Numer. Funct. Anal. Optimization 18, No. 5-6, 495-505 (1997). MSC: 35J85 49Q10 35R35 49J20 49J40 PDFBibTeX XMLCite \textit{D. M. Bedivan}, Numer. Funct. Anal. Optim. 18, No. 5--6, 495--505 (1997; Zbl 0895.35042) Full Text: DOI
Bochev, Pavel Least-squares methods for optimal control. (English) Zbl 0914.49017 Nonlinear Anal., Theory Methods Appl. 30, No. 3, 1875-1885 (1997). Reviewer: P.Neittaanmäki (Jyväskylä) MSC: 49M15 35Q30 65M60 PDFBibTeX XMLCite \textit{P. Bochev}, Nonlinear Anal., Theory Methods Appl. 30, No. 3, 1875--1885 (1997; Zbl 0914.49017) Full Text: DOI