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
Grüne, Lars; Schaller, Manuel; Schiela, Anton Efficient model predictive control for parabolic PDEs with goal oriented error estimation. (English) Zbl 1492.35391 SIAM J. Sci. Comput. 44, No. 1, A471-A500 (2022). MSC: 35Q93 93C20 93B52 65M60 65M06 65N30 65M50 49K40 49N10 PDFBibTeX XMLCite \textit{L. Grüne} et al., SIAM J. Sci. Comput. 44, No. 1, A471--A500 (2022; Zbl 1492.35391) Full Text: DOI arXiv
Zhang, Jianping; Li, Yanyan Diffeomorphic image registration with an optimal control relaxation and its implementation. (English) Zbl 1481.49017 SIAM J. Imaging Sci. 14, No. 4, 1890-1931 (2021). MSC: 49J45 65F22 65N50 74G65 94A08 94A12 92C50 92C55 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{Y. Li}, SIAM J. Imaging Sci. 14, No. 4, 1890--1931 (2021; Zbl 1481.49017) Full Text: DOI arXiv
Alasseur, Clémence; Ben Taher, Imen; Matoussi, Anis An extended mean field game for storage in smart grids. (English) Zbl 1433.49060 J. Optim. Theory Appl. 184, No. 2, 644-670 (2020). MSC: 49S05 49N10 49N70 93E20 91A06 91A15 91A23 PDFBibTeX XMLCite \textit{C. Alasseur} et al., J. Optim. Theory Appl. 184, No. 2, 644--670 (2020; Zbl 1433.49060) Full Text: DOI arXiv
Kavvadias, I. S.; Papoutsis-Kiachagias, E. M.; Giannakoglou, K. C. On the proper treatment of grid sensitivities in continuous adjoint methods for shape optimization. (English) Zbl 1349.76616 J. Comput. Phys. 301, 1-18 (2015). MSC: 76M25 65N50 49Q12 76D05 PDFBibTeX XMLCite \textit{I. S. Kavvadias} et al., J. Comput. Phys. 301, 1--18 (2015; Zbl 1349.76616) Full Text: DOI
Paiva, Luís Tiago; Fontes, Fernando Adaptive time-mesh refinement in optimal control problems with state constraints. (English) Zbl 1334.49086 Discrete Contin. Dyn. Syst. 35, No. 9, 4553-4572 (2015). MSC: 49M25 49J15 49K15 65L50 PDFBibTeX XMLCite \textit{L. T. Paiva} and \textit{F. Fontes}, Discrete Contin. Dyn. Syst. 35, No. 9, 4553--4572 (2015; Zbl 1334.49086) Full Text: DOI
Gao, Yunlong; Gao, Feng; Zhai, Qiaozhu; Guan, Xiaohong Self-balancing dynamic scheduling of electrical energy for energy-intensive enterprises. (English) Zbl 1279.90066 Int. J. Syst. Sci. 44, No. 6, 1006-1025 (2013). MSC: 90B35 49L20 49N90 PDFBibTeX XMLCite \textit{Y. Gao} et al., Int. J. Syst. Sci. 44, No. 6, 1006--1025 (2013; Zbl 1279.90066) Full Text: DOI
Cassel, Kevin W. Variational methods with applications in science and engineering. (English) Zbl 1284.49003 Cambridge: Cambridge University Press (ISBN 978-1-107-02258-4/hbk; 978-1-139-13686-0/ebook). xvii, 413 p. (2013). Reviewer: Alexander G. Ramm (Manhattan, KS) MSC: 49-02 49S05 65Z05 00A69 76M30 PDFBibTeX XMLCite \textit{K. W. Cassel}, Variational methods with applications in science and engineering. Cambridge: Cambridge University Press (2013; Zbl 1284.49003) Full Text: DOI
Alton, Ken; Mitchell, Ian M. An ordered upwind method with precomputed stencil and monotone node acceptance for solving static convex Hamilton-Jacobi equations. (English) Zbl 1256.65099 J. Sci. Comput. 51, No. 2, 313-348 (2012). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 35F21 49L25 65N50 PDFBibTeX XMLCite \textit{K. Alton} and \textit{I. M. Mitchell}, J. Sci. Comput. 51, No. 2, 313--348 (2012; Zbl 1256.65099) Full Text: DOI
Sulman, Mohamed; Williams, J. F.; Russell, R. D. Optimal mass transport for higher dimensional adaptive grid generation. (English) Zbl 1218.65065 J. Comput. Phys. 230, No. 9, 3302-3330 (2011). MSC: 65K10 49J20 49M25 35K96 PDFBibTeX XMLCite \textit{M. Sulman} et al., J. Comput. Phys. 230, No. 9, 3302--3330 (2011; Zbl 1218.65065) Full Text: DOI
Delzanno, G. L.; Finn, J. M. Generalized Monge-Kantorovich optimization for grid generation and adaptation in \(L_p\). (English) Zbl 1220.49020 SIAM J. Sci. Comput. 32, No. 6, 3524-3547 (2010). MSC: 49M37 65K10 65N50 65Z05 PDFBibTeX XMLCite \textit{G. L. Delzanno} and \textit{J. M. Finn}, SIAM J. Sci. Comput. 32, No. 6, 3524--3547 (2010; Zbl 1220.49020) Full Text: DOI
Haber, Eldad; Heldmann, Stefan; Ascher, Uri Adaptive finite volume method for distributed non-smooth parameter identification. (English) Zbl 1121.65074 Inverse Probl. 23, No. 4, 1659-1676 (2007). MSC: 65K10 65N21 35J25 49J20 49M25 35R30 65N50 PDFBibTeX XMLCite \textit{E. Haber} et al., Inverse Probl. 23, No. 4, 1659--1676 (2007; Zbl 1121.65074) Full Text: DOI Link
Chacón, L.; Lapenta, G. A fully implicit, nonlinear adaptive grid strategy. (English) Zbl 1083.65110 J. Comput. Phys. 212, No. 2, 703-717 (2006). MSC: 65N50 65N55 65H10 65F35 65K10 49J20 PDFBibTeX XMLCite \textit{L. Chacón} and \textit{G. Lapenta}, J. Comput. Phys. 212, No. 2, 703--717 (2006; Zbl 1083.65110) Full Text: DOI
Bagnerini, Patrizia Eulerian approximate ray tracing and applications to grid generation. (English) Zbl 1064.65107 Hou, Thomas Y. (ed.) et al., Hyperbolic problems: Theory, numerics, applications. Proceedings of the ninth international conference on hyperbolic problems, Pasadena, CA, USA, March 25–29, 2002. Berlin: Springer (ISBN 3-540-44333-9/hbk). 335-346 (2003). MSC: 65M25 35L60 49L25 65M50 PDFBibTeX XMLCite \textit{P. Bagnerini}, in: Hyperbolic problems: Theory, numerics, applications. Proceedings of the ninth international conference on hyperbolic problems, Pasadena, CA, USA, March 25--29, 2002. Berlin: Springer. 335--346 (2003; Zbl 1064.65107)
Potschka, Andreas A direct method for the numerical solution of optimization problems with time-periodic PDE constraints. (English) Zbl 1237.65062 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). xviii, 146 p. (2001). MSC: 65K10 65-02 49M15 49J20 49M37 90C55 PDFBibTeX XMLCite \textit{A. Potschka}, A direct method for the numerical solution of optimization problems with time-periodic PDE constraints. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.) (2001; Zbl 1237.65062) Full Text: Link
Tourigny, Yves; Hülsemann, Frank A new moving mesh algorithm for the finite element solution of variational problems. (English) Zbl 0913.65059 SIAM J. Numer. Anal. 35, No. 4, 1416-1438 (1998). Reviewer: J.Lovíšek (Bratislava) MSC: 65K10 35J85 49J20 65N50 49M15 PDFBibTeX XMLCite \textit{Y. Tourigny} and \textit{F. Hülsemann}, SIAM J. Numer. Anal. 35, No. 4, 1416--1438 (1998; Zbl 0913.65059) Full Text: DOI
Liao, G.; Liu, H. Existence and \(C^{0,\alpha}\) regularity of minima of a functional related to the grid-generation problem. (English) Zbl 0773.65078 Numer. Methods Partial Differ. Equations 9, No. 3, 261-264 (1993). Reviewer: V.Arnăutu (Iaşi) MSC: 65N50 65K10 49J20 PDFBibTeX XMLCite \textit{G. Liao} and \textit{H. Liu}, Numer. Methods Partial Differ. Equations 9, No. 3, 261--264 (1993; Zbl 0773.65078) Full Text: DOI