Zhang, Jiaqi; Yang, Yin; Zhou, Zhaojie Spectral Galerkin approximation of fractional optimal control problems with fractional Laplacian. (English) Zbl 07787036 Adv. Appl. Math. Mech. 15, No. 6, 1631-1654 (2023). MSC: 35Q93 49M25 49M41 35R11 PDFBibTeX XMLCite \textit{J. Zhang} et al., Adv. Appl. Math. Mech. 15, No. 6, 1631--1654 (2023; Zbl 07787036) Full Text: DOI
Hou, Tianliang; Liu, Chunmei; Dai, Chunlei; Chen, Luoping; Yang, Yin Two-grid algorithm of \(H^1\)-Galerkin mixed finite element methods for semilinear parabolic integro-differential equations. (English) Zbl 1513.49011 J. Comput. Math. 40, No. 5, 671-689 (2022). MSC: 49J20 65N30 47G20 35R09 PDFBibTeX XMLCite \textit{T. Hou} et al., J. Comput. Math. 40, No. 5, 671--689 (2022; Zbl 1513.49011) Full Text: DOI
Lu, Zuliang; Wu, Xiankui; Huang, Fei; Cai, Fei; Hou, Chunjuan; Yang, Yin Convergence and quasi-optimality based on an adaptive finite element method for the bilinear optimal control problem. (English) Zbl 1525.65125 AIMS Math. 6, No. 9, 9510-9535 (2021). MSC: 65N30 65N15 49M25 65K10 65N50 PDFBibTeX XMLCite \textit{Z. Lu} et al., AIMS Math. 6, No. 9, 9510--9535 (2021; Zbl 1525.65125) Full Text: DOI
Lu, Zuliang; Wu, Xiankui; Cai, Fei; Huang, Fei; Liu, Shang; Yang, Yin Error estimates in \(L^2\) and \(L^\infty\) norms of finite volume method for the bilinear elliptic optimal control problem. (English) Zbl 1485.49036 AIMS Math. 6, No. 8, 8585-8599 (2021). MSC: 49M41 49M25 65M08 PDFBibTeX XMLCite \textit{Z. Lu} et al., AIMS Math. 6, No. 8, 8585--8599 (2021; Zbl 1485.49036) Full Text: DOI
Yang, Yin; Zhang, Jiaqi; Liu, Huan; Vasilev, Aleksandr O. An indirect convergent Jacobi spectral collocation method for fractional optimal control problems. (English) Zbl 1490.49018 Math. Methods Appl. Sci. 44, No. 4, 2806-2824 (2021). MSC: 49K21 34A08 49M25 65L60 PDFBibTeX XMLCite \textit{Y. Yang} et al., Math. Methods Appl. Sci. 44, No. 4, 2806--2824 (2021; Zbl 1490.49018) Full Text: DOI
Lu, Zuliang; Huang, Fei; Zhao, Yongxiang; Li, Lin; Hou, Chunjuan; Yang, Yin Multi-area transboundary pollution problems under learning by doing in Yangtze River Delta Region, China. (English) Zbl 1469.49048 Math. Methods Appl. Sci. 44, No. 1, 1029-1051 (2021). MSC: 49S05 49J20 65N30 91B76 PDFBibTeX XMLCite \textit{Z. Lu} et al., Math. Methods Appl. Sci. 44, No. 1, 1029--1051 (2021; Zbl 1469.49048) Full Text: DOI
Lu, Zuliang; Li, Lin; Cao, Longzhou; Yang, Yin Numerical modelling of cooperative and noncooperative three transboundary pollution problems under learning by doing in Three Gorges Reservoir Area. (English) Zbl 1479.49007 Math. Model. Anal. 25, No. 1, 130-145 (2020). MSC: 49J20 65N30 91B76 PDFBibTeX XMLCite \textit{Z. Lu} et al., Math. Model. Anal. 25, No. 1, 130--145 (2020; Zbl 1479.49007) Full Text: DOI
Yang, Yin; Skandari, M. H. Noori Pseudospectral method for fractional infinite horizon optimal control problems. (English) Zbl 1468.49033 Optim. Control Appl. Methods 41, No. 6, 2201-2212 (2020). MSC: 49M37 90C30 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{M. H. N. Skandari}, Optim. Control Appl. Methods 41, No. 6, 2201--2212 (2020; Zbl 1468.49033) Full Text: DOI
Lu, Zuliang; Huang, Fei; Lin, Li; Cai, Fei; Yang, Yin A priori and posteriori error estimates of Legendre Galerkin spectral methods for general elliptic optimal control problems. (English) Zbl 1461.49006 J. Math. Inequal. 14, No. 4, 989-1006 (2020). MSC: 49J20 65N30 PDFBibTeX XMLCite \textit{Z. Lu} et al., J. Math. Inequal. 14, No. 4, 989--1006 (2020; Zbl 1461.49006) Full Text: DOI
Liu, Chunmei; Hou, Tianliang; Yang, Yin Superconvergence of \(H^1\)-Galerkin mixed finite element methods for elliptic optimal control problems. (English) Zbl 1462.49012 East Asian J. Appl. Math. 9, No. 1, 87-101 (2019). Reviewer: Bülent Karasözen (Ankara) MSC: 49J20 65N30 PDFBibTeX XMLCite \textit{C. Liu} et al., East Asian J. Appl. Math. 9, No. 1, 87--101 (2019; Zbl 1462.49012) Full Text: DOI
Li, Lin; Lu, Zuliang; Zhang, Wei; Huang, Fei; Yang, Yin A posteriori error estimates of spectral method for nonlinear parabolic optimal control problem. (English) Zbl 1498.49048 J. Inequal. Appl. 2018, Paper No. 138, 23 p. (2018). MSC: 49M25 49J20 65K10 65M15 PDFBibTeX XMLCite \textit{L. Li} et al., J. Inequal. Appl. 2018, Paper No. 138, 23 p. (2018; Zbl 1498.49048) Full Text: DOI
Lu, Zuliang; Zhang, Shuhua; Li, Lin; Cao, Longzhou; Yang, Yin Fitted finite volume method of three transboundary pollution in Three Gorges Reservoir Area of Chongqing city with emission permits trading by cooperative stochastic differential game. (English) Zbl 1488.49041 Adv. Appl. Math. Mech. 10, No. 3, 690-709 (2018). MSC: 49J55 35F21 91A15 65N30 49S05 91A12 91A23 91B76 PDFBibTeX XMLCite \textit{Z. Lu} et al., Adv. Appl. Math. Mech. 10, No. 3, 690--709 (2018; Zbl 1488.49041) Full Text: DOI
Yang, Xingfa; Liu, Jie; Yang, Yin; Qing, Qixiang; Wen, Guilin An efficient topology description function method based on modified sigmoid function. (English) Zbl 1427.74146 Math. Probl. Eng. 2018, Article ID 3653817, 12 p. (2018). MSC: 74P15 49Q12 PDFBibTeX XMLCite \textit{X. Yang} et al., Math. Probl. Eng. 2018, Article ID 3653817, 12 p. (2018; Zbl 1427.74146) 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
Lu, Zuliang; Zhang, Shuhua; Cao, Longzhou; Li, Lin; Yang, Yin Interpolation coefficients mixed finite element methods and \(L^\infty\)-error estimates for nonlinear optimal control problem. (English) Zbl 1382.49018 J. Math. Inequal. 11, No. 4, 1113-1129 (2017). Reviewer: Wilhelm Heinrichs (Essen) MSC: 49K20 49J20 65N30 PDFBibTeX XMLCite \textit{Z. Lu} et al., J. Math. Inequal. 11, No. 4, 1113--1129 (2017; Zbl 1382.49018) Full Text: DOI