Huang, Rong; Weng, Zhifeng A numerical method based on barycentric interpolation collocation for nonlinear convection-diffusion optimal control problems. (English) Zbl 07818890 Netw. Heterog. Media 18, No. 2, 562-580 (2023). MSC: 93C20 49J20 65M06 65D05 65M70 PDFBibTeX XMLCite \textit{R. Huang} and \textit{Z. Weng}, Netw. Heterog. Media 18, No. 2, 562--580 (2023; Zbl 07818890) Full Text: DOI
Du, Shaohong; Hou, Qianqian; Xie, Xiaoping A linearized adaptive dynamic diffusion finite element method for convection-diffusion-reaction equations. (English) Zbl 07814788 Ann. Appl. Math. 39, No. 3, 323-351 (2023). MSC: 65K10 65N30 65N21 49M25 49K20 PDFBibTeX XMLCite \textit{S. Du} et al., Ann. Appl. Math. 39, No. 3, 323--351 (2023; Zbl 07814788) Full Text: DOI
Gejadze, I.; Shutyaev, V.; Oubanas, H.; Malaterre, P.-O. A Bayesian-variational cyclic method for solving estimation problems characterized by non-uniqueness (equifinality). (English) Zbl 07696995 J. Comput. Phys. 488, Article ID 112239, 29 p. (2023). MSC: 90Cxx 65Kxx 49Mxx PDFBibTeX XMLCite \textit{I. Gejadze} et al., J. Comput. Phys. 488, Article ID 112239, 29 p. (2023; Zbl 07696995) Full Text: DOI
Mahmoudi, Mahmoud; Shojaeizadeh, Tahereh; Darehmiraki, Majid Optimal control of time-fractional convection-diffusion-reaction problem employing compact integrated RBF method. (English) Zbl 1516.49012 Math. Sci., Springer 17, No. 1, 1-14 (2023). MSC: 49J45 65M12 49K40 PDFBibTeX XMLCite \textit{M. Mahmoudi} et al., Math. Sci., Springer 17, No. 1, 1--14 (2023; Zbl 1516.49012) Full Text: DOI
Zhu, Jinghao A computational approach to optimal control problems subject to mixed control-state constraints. (English) Zbl 1514.49004 Int. J. Control 96, No. 1, 41-47 (2023). MSC: 49J20 35F21 PDFBibTeX XMLCite \textit{J. Zhu}, Int. J. Control 96, No. 1, 41--47 (2023; Zbl 1514.49004) Full Text: DOI
Li, Xiaowu; Tang, Yuelong Interpolated coefficient characteristic finite element method for semilinear convection-diffusion optimal control problems. (English) Zbl 1509.65100 Results Appl. Math. 17, Article ID 100357, 10 p. (2023). MSC: 65M60 65M25 65M06 65N30 65D05 65H10 49M25 35K55 35J60 35J61 76R50 PDFBibTeX XMLCite \textit{X. Li} and \textit{Y. Tang}, Results Appl. Math. 17, Article ID 100357, 10 p. (2023; Zbl 1509.65100) Full Text: DOI
Tang, Yuelong; Hua, Yuchun A posteriori error estimates of characteristic mixed finite elements for convection-diffusion control problems. (English) Zbl 1500.65070 Open Math. 20, 629-645 (2022). MSC: 65M60 65M06 65N30 65K10 65M15 49J20 49M41 76R50 PDFBibTeX XMLCite \textit{Y. Tang} and \textit{Y. Hua}, Open Math. 20, 629--645 (2022; Zbl 1500.65070) Full Text: DOI
Gooran, Orimi Atefeh; Effati, Sohrab; Farahi, Mohammad Hadi Approximate solution of the Hamilton-Jacobi-Bellman equation. (English) Zbl 1513.49065 J. Math. Model. 10, No. 1, 71-91 (2022). MSC: 49L25 49K15 65M08 65N55 PDFBibTeX XMLCite \textit{O. A. Gooran} et al., J. Math. Model. 10, No. 1, 71--91 (2022; Zbl 1513.49065) Full Text: DOI
Samadi, Fereshteh; Heydari, Aghileh; Effati, Sohrab A numerical method based on a bilinear pseudo-spectral method to solve the convection-diffusion optimal control problems. (English) Zbl 1480.65291 Int. J. Comput. Math. 98, No. 1, 28-46 (2021). MSC: 65M70 65N35 49J20 49M25 PDFBibTeX XMLCite \textit{F. Samadi} et al., Int. J. Comput. Math. 98, No. 1, 28--46 (2021; Zbl 1480.65291) Full Text: DOI
Yücel, Hamdullah Goal-oriented a posteriori error estimation for Dirichlet boundary control problems. (English) Zbl 1484.65139 J. Comput. Appl. Math. 381, Article ID 113012, 22 p. (2021). MSC: 65K10 49M25 65N30 65N15 PDFBibTeX XMLCite \textit{H. Yücel}, J. Comput. Appl. Math. 381, Article ID 113012, 22 p. (2021; Zbl 1484.65139) Full Text: DOI
Sun, Zhiyuan; Liu, Jun; Wang, Pei A discontinuous Galerkin method by patch reconstruction for convection-diffusion problems. (English) Zbl 1488.49064 Adv. Appl. Math. Mech. 12, No. 3, 729-747 (2020). MSC: 49N45 65N21 PDFBibTeX XMLCite \textit{Z. Sun} et al., Adv. Appl. Math. Mech. 12, No. 3, 729--747 (2020; Zbl 1488.49064) Full Text: DOI
Ge, Liang; Shen, Wanfang; Liu, Wenbin Meshfree finite volume element method for constrained optimal control problem governed by random convection diffusion equations. (English) Zbl 1463.65264 Commun. Math. Res. 36, No. 2, 229-246 (2020). MSC: 65M08 49J20 49J55 93E20 65M15 PDFBibTeX XMLCite \textit{L. Ge} et al., Commun. Math. Res. 36, No. 2, 229--246 (2020; Zbl 1463.65264) Full Text: DOI
Liu, Tao A multigrid-homotopy method for nonlinear inverse problems. (English) Zbl 1450.65049 Comput. Math. Appl. 79, No. 6, 1706-1717 (2020). MSC: 65J22 65M55 49N45 PDFBibTeX XMLCite \textit{T. Liu}, Comput. Math. Appl. 79, No. 6, 1706--1717 (2020; Zbl 1450.65049) Full Text: DOI
Jehle, Jonas Siegfried; Mechelli, Luca; Volkwein, Stefan POD-based augmented Lagrangian method for state constrained heat-convection phenomena. (English) Zbl 1427.80005 Fehr, Jörg (ed.) et al., IUTAM symposium on model order reduction of coupled systems. MORCOS 2018. Proceedings of the IUTAM symposium, Stuttgart, Germany, May 22–25, 2018. Cham: Springer. IUTAM Bookser. 36, 127-139 (2020). MSC: 80A20 49J20 80M20 80M10 65M06 65N30 PDFBibTeX XMLCite \textit{J. S. Jehle} et al., IUTAM Bookser. 36, 127--139 (2020; Zbl 1427.80005) Full Text: DOI Link
Zhang, Xiao; Zhang, Yangwen; Singler, John R. An optimal EDG method for distributed control of convection diffusion PDEs. (English) Zbl 1427.65387 Int. J. Numer. Anal. Model. 16, No. 4, 519-542 (2019). MSC: 65N30 49M25 76R50 49J20 65K10 PDFBibTeX XMLCite \textit{X. Zhang} et al., Int. J. Numer. Anal. Model. 16, No. 4, 519--542 (2019; Zbl 1427.65387) Full Text: arXiv Link
Chen, Gang; Fu, Guosheng; Singler, John R.; Zhang, Yangwen A class of embedded DG methods for Dirichlet boundary control of convection diffusion PDEs. (English) Zbl 1427.65353 J. Sci. Comput. 81, No. 2, 623-648 (2019). MSC: 65N30 49M25 49N60 49N10 49J20 76R50 65N12 76M10 65N15 35B65 PDFBibTeX XMLCite \textit{G. Chen} et al., J. Sci. Comput. 81, No. 2, 623--648 (2019; Zbl 1427.65353) Full Text: DOI arXiv
González Casanova, Pedro; Gout, Christian; Zavaleta, Jorge Radial basis function methods for optimal control of the convection-diffusion equation: a numerical study. (English) Zbl 1464.65203 Eng. Anal. Bound. Elem. 108, 201-209 (2019). MSC: 65N35 49J20 65K10 PDFBibTeX XMLCite \textit{P. González Casanova} et al., Eng. Anal. Bound. Elem. 108, 201--209 (2019; Zbl 1464.65203) Full Text: DOI
Kaushik, Aditya; Vashishth, Anil K.; Kumar, Vijayant; Sharma, Manju An asymptotic-numerical method for a class of weakly coupled system of singularly perturbed convection-diffusion equations. (English) Zbl 1417.49044 Numer. Funct. Anal. Optim. 40, No. 13, 1550-1571 (2019). MSC: 49M30 PDFBibTeX XMLCite \textit{A. Kaushik} et al., Numer. Funct. Anal. Optim. 40, No. 13, 1550--1571 (2019; Zbl 1417.49044) Full Text: DOI
Ge, Liang; Sun, Tongjun A sparse grid stochastic collocation discontinuous Galerkin method for constrained optimal control problem governed by random convection dominated diffusion equations. (English) Zbl 1501.65118 Numer. Funct. Anal. Optim. 40, No. 7, 763-797 (2019). MSC: 65N30 65C30 65N35 49K20 60H15 35R60 PDFBibTeX XMLCite \textit{L. Ge} and \textit{T. Sun}, Numer. Funct. Anal. Optim. 40, No. 7, 763--797 (2019; Zbl 1501.65118) Full Text: DOI
Mechelli, Luca; Volkwein, Stefan POD-based economic optimal control of heat-convection phenomena. (English) Zbl 1416.49026 Falcone, Maurizio (ed.) et al., Numerical methods for optimal control problems. Proceedings of the workshop, Rome, Italy, June 19–23, 2017. Cham: Springer. Springer INdAM Ser. 29, 63-87 (2018). MSC: 49M15 35K05 PDFBibTeX XMLCite \textit{L. Mechelli} and \textit{S. Volkwein}, Springer INdAM Ser. 29, 63--87 (2018; Zbl 1416.49026) Full Text: DOI Link
Vass, József; Krylov, Sergey N. A computational resolution of the inverse problem of kinetic capillary electrophoresis (KCE). (English) Zbl 1417.78004 Kilgour, D. Marc (ed.) et al., Recent advances in mathematical and statistical methods. IV AMMCS international conference, Waterloo, Canada, August 20–25, 2017. Cham: Springer. Springer Proc. Math. Stat. 259, 303-312 (2018). MSC: 78A57 35R30 35Q60 78M50 49K20 65K10 PDFBibTeX XMLCite \textit{J. Vass} and \textit{S. N. Krylov}, Springer Proc. Math. Stat. 259, 303--312 (2018; Zbl 1417.78004) Full Text: DOI arXiv
Brizitskii, R. V.; Saritskaya, Zh. Yu. Boundary control problem for a nonlinear convection-diffusion-reaction equation. (English. Russian original) Zbl 1433.35436 Comput. Math. Math. Phys. 58, No. 12, 2053-2063 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 12, 2139-2152 (2018). Reviewer: Nicolae Cîndea (Aubière) MSC: 35Q93 35D30 93C20 35R30 49K20 80A19 PDFBibTeX XMLCite \textit{R. V. Brizitskii} and \textit{Zh. Yu. Saritskaya}, Comput. Math. Math. Phys. 58, No. 12, 2053--2063 (2018; Zbl 1433.35436); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 12, 2139--2152 (2018) Full Text: DOI
Çibik, Aytekin Bayram; Yilmaz, Fikriye Nuray Variational multiscale method for the optimal control problems of convectio-diffusion-reaction equations. (English) Zbl 1424.49033 Turk. J. Math. 42, No. 1, 164-180 (2018). MSC: 49M25 65N30 PDFBibTeX XMLCite \textit{A. B. Çibik} and \textit{F. N. Yilmaz}, Turk. J. Math. 42, No. 1, 164--180 (2018; Zbl 1424.49033) Full Text: DOI
Yücel, Hamdullah; Stoll, Martin; Benner, Peter Adaptive discontinuous Galerkin approximation of optimal control problems governed by transient convection-diffusion equations. (English) Zbl 1412.65228 ETNA, Electron. Trans. Numer. Anal. 48, 407-434 (2018). Reviewer: Lijun Yi (Shanghai) MSC: 65N30 65N50 65K10 49J20 65N25 65M60 PDFBibTeX XMLCite \textit{H. Yücel} et al., ETNA, Electron. Trans. Numer. Anal. 48, 407--434 (2018; Zbl 1412.65228) Full Text: DOI Link
Sun, Tongjun; Ma, Keying A non-overlapping DDM combined with the characteristic method for optimal control problems governed by convection-diffusion equations. (English) Zbl 1410.90242 Comput. Optim. Appl. 71, No. 1, 273-306 (2018). Reviewer: Alfred Göpfert (Leipzig) MSC: 90C48 90C59 65M25 65N55 49J20 49M05 PDFBibTeX XMLCite \textit{T. Sun} and \textit{K. Ma}, Comput. Optim. Appl. 71, No. 1, 273--306 (2018; Zbl 1410.90242) Full Text: DOI
Hu, Weiwei; Shen, Jiguang; Singler, John R.; Zhang, Yangwen; Zheng, Xiaobo A superconvergent HDG method for distributed control of convection diffusion PDEs. (English) Zbl 1401.65133 J. Sci. Comput. 76, No. 3, 1436-1457 (2018). MSC: 65N30 49M25 PDFBibTeX XMLCite \textit{W. Hu} et al., J. Sci. Comput. 76, No. 3, 1436--1457 (2018; Zbl 1401.65133) Full Text: DOI arXiv
Gong, Wei; Hu, Weiwei; Mateos, Mariano; Singler, John; Zhang, Xiao; Zhang, Yangwen A new HDG method for Dirichlet boundary control of convection diffusion PDEs. II: Low regularity. (English) Zbl 1396.49025 SIAM J. Numer. Anal. 56, No. 4, 2262-2287 (2018). MSC: 49M25 65M60 49N60 PDFBibTeX XMLCite \textit{W. Gong} et al., SIAM J. Numer. Anal. 56, No. 4, 2262--2287 (2018; Zbl 1396.49025) Full Text: DOI arXiv
Chen, Gang; Hu, Weiwei; Shen, Jiguang; Singler, John R.; Zhang, Yangwen; Zheng, Xiaobo An HDG method for distributed control of convection diffusion PDEs. (English) Zbl 1448.65222 J. Comput. Appl. Math. 343, 643-661 (2018). MSC: 65N30 49M25 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{G. Chen} et al., J. Comput. Appl. Math. 343, 643--661 (2018; Zbl 1448.65222) Full Text: DOI arXiv
Yuan, Yujing; Liang, Dong Numerical optimal pollution control subject to the convection-diffusion transport equations. (English) Zbl 1388.49044 Int. J. Numer. Anal. Model. 14, No. 3, 437-455 (2017). MSC: 49N90 65M08 PDFBibTeX XMLCite \textit{Y. Yuan} and \textit{D. Liang}, Int. J. Numer. Anal. Model. 14, No. 3, 437--455 (2017; Zbl 1388.49044) Full Text: Link
Lu, Z. A posteriori error estimates of triangular mixed finite element methods for quadratic convection diffusion optimal control problems. (English) Zbl 1389.49017 Math. Rep., Buchar. 18(68), No. 3, 335-354 (2016). MSC: 49K20 65M30 PDFBibTeX XMLCite \textit{Z. Lu}, Math. Rep., Buchar. 18(68), No. 3, 335--354 (2016; Zbl 1389.49017)
Brizitskii, Roman Victorovich; Saritskaya, Zhanna Yurievna; Byrganov, Alexander Igorevich Multiplicative control problems for nonlinear convection-diffusion-reaction equation. (English) Zbl 1433.49004 Sib. Èlektron. Mat. Izv. 13, 352-360 (2016). MSC: 49J20 35J57 PDFBibTeX XMLCite \textit{R. V. Brizitskii} et al., Sib. Èlektron. Mat. Izv. 13, 352--360 (2016; Zbl 1433.49004) Full Text: DOI
Borzì, A.; Park, E.-J.; Vallejos Lass, M. Multigrid optimization methods for the optimal control of convection-diffusion problems with bilinear control. (English) Zbl 1336.49034 J. Optim. Theory Appl. 168, No. 2, 510-533 (2016). MSC: 49M25 49J20 49K20 65N06 65N55 PDFBibTeX XMLCite \textit{A. Borzì} et al., J. Optim. Theory Appl. 168, No. 2, 510--533 (2016; Zbl 1336.49034) Full Text: DOI
Fu, Hongfei; Rui, Hongxing; Zhou, Zhaojie A posteriori error estimates for optimal control problems constrained by convection-diffusion equations. (English) Zbl 1334.49084 Front. Math. China 11, No. 1, 55-75 (2016). MSC: 49M25 49J20 49K20 65M60 65M25 65M15 PDFBibTeX XMLCite \textit{H. Fu} et al., Front. Math. China 11, No. 1, 55--75 (2016; Zbl 1334.49084) Full Text: DOI
Korotkii, A. I.; Starodubtseva, Yu. V. Reconstruction of boundary controls in reaction-convection-diffusion model. (Russian. English summary) Zbl 1339.35120 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 2015, No. 2(46), 85-92 (2015). MSC: 35J57 49M30 35J50 PDFBibTeX XMLCite \textit{A. I. Korotkii} and \textit{Yu. V. Starodubtseva}, Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 2015, No. 2(46), 85--92 (2015; Zbl 1339.35120) Full Text: MNR
Yücel, Hamdullah; Benner, Peter Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations. (English) Zbl 1333.49047 Comput. Optim. Appl. 62, No. 1, 291-321 (2015). MSC: 49M25 49J20 65N30 PDFBibTeX XMLCite \textit{H. Yücel} and \textit{P. Benner}, Comput. Optim. Appl. 62, No. 1, 291--321 (2015; Zbl 1333.49047) Full Text: DOI
Zhou, Zhaojie; Fu, Hongfei A posteriori error estimates for continuous interior penalty Galerkin approximation of transient convection diffusion optimal control problems. (English) Zbl 1305.65163 Bound. Value Probl. 2014, Paper No. 207, 19 p. (2014). MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{Z. Zhou} and \textit{H. Fu}, Bound. Value Probl. 2014, Paper No. 207, 19 p. (2014; Zbl 1305.65163) Full Text: DOI
Akman, Tuğba; Yücel, Hamdullah; Karasözen, Bülent A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations. (English) Zbl 1301.49072 Comput. Optim. Appl. 57, No. 3, 703-729 (2014). MSC: 49M25 35K57 65M60 PDFBibTeX XMLCite \textit{T. Akman} et al., Comput. Optim. Appl. 57, No. 3, 703--729 (2014; Zbl 1301.49072) Full Text: DOI
Zhou, Z. J.; Yan, N. N. A survey of numerical methods for convection-diffusion optimal control problems. (English) Zbl 1294.65072 J. Numer. Math. 22, No. 1, 61-85 (2014). MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{Z. J. Zhou} and \textit{N. N. Yan}, J. Numer. Math. 22, No. 1, 61--85 (2014; Zbl 1294.65072) Full Text: DOI
Pearson, John W.; Wathen, Andrew J. Fast iterative solvers for convection-diffusion control problems. (English) Zbl 1287.49031 ETNA, Electron. Trans. Numer. Anal. 40, 294-310 (2013). MSC: 49M25 65F08 65F10 65N30 PDFBibTeX XMLCite \textit{J. W. Pearson} and \textit{A. J. Wathen}, ETNA, Electron. Trans. Numer. Anal. 40, 294--310 (2013; Zbl 1287.49031) Full Text: EMIS
Fu, Hongfei; Rui, Hongxing; Guo, Hui A characteristic finite element method for constrained convection-diffusion-reaction optimal control problems. (English) Zbl 1289.49033 J. Comput. Math. 31, No. 1, 88-106 (2013). MSC: 49M25 65M15 65M25 65M60 PDFBibTeX XMLCite \textit{H. Fu} et al., J. Comput. Math. 31, No. 1, 88--106 (2013; Zbl 1289.49033) Full Text: DOI
Figueiredo, Isabel N.; Leal, Carlos Physiologic parameter estimation using inverse problems. (English) Zbl 1274.35411 SIAM J. Appl. Math. 73, No. 3, 1164-1182 (2013). MSC: 35R30 35K57 35J15 65M32 49K20 65M60 65M06 PDFBibTeX XMLCite \textit{I. N. Figueiredo} and \textit{C. Leal}, SIAM J. Appl. Math. 73, No. 3, 1164--1182 (2013; Zbl 1274.35411) Full Text: DOI
Subburayan, V.; Ramanujam, N. An initial value technique for singularly perturbed convection-diffusion problems with a negative shift. (English) Zbl 1272.49053 J. Optim. Theory Appl. 158, No. 1, 234-250 (2013). MSC: 49M25 49J15 PDFBibTeX XMLCite \textit{V. Subburayan} and \textit{N. Ramanujam}, J. Optim. Theory Appl. 158, No. 1, 234--250 (2013; Zbl 1272.49053) Full Text: DOI
Fu, Hongfei; Rui, Hongxing A mass-conservative characteristic FE scheme for optimal control problems governed by convection-diffusion equations. (English) Zbl 1353.49041 Comput. Methods Appl. Mech. Eng. 241-244, 82-92 (2012). MSC: 49M25 65N30 35K57 PDFBibTeX XMLCite \textit{H. Fu} and \textit{H. Rui}, Comput. Methods Appl. Mech. Eng. 241--244, 82--92 (2012; Zbl 1353.49041) Full Text: DOI
Cresson, Jacky; Greff, Isabelle; Inizan, Pierre Lagrangian for the convection-diffusion equation. (English) Zbl 1255.35216 Math. Methods Appl. Sci. 35, No. 15, 1885-1895 (2012). MSC: 35R11 35Q35 49K20 35A15 PDFBibTeX XMLCite \textit{J. Cresson} et al., Math. Methods Appl. Sci. 35, No. 15, 1885--1895 (2012; Zbl 1255.35216) Full Text: DOI arXiv
Zhou, Zhaojie; Chen, Fengxin; Chen, Huanzhen Characteristic mixed finite element approximation of transient convection diffusion optimal control problems. (English) Zbl 1252.49050 Math. Comput. Simul. 82, No. 11, 2109-2128 (2012). MSC: 49M25 65N30 65K10 PDFBibTeX XMLCite \textit{Z. Zhou} et al., Math. Comput. Simul. 82, No. 11, 2109--2128 (2012; Zbl 1252.49050) Full Text: DOI
Roos, Hans-Görg; Reibiger, Christian Numerical analysis of a system of singularly perturbed convection-diffusion equations related to optimal control. (English) Zbl 1265.65123 Numer. Math., Theory Methods Appl. 4, No. 4, 562-575 (2011). MSC: 65K10 49J15 49M25 PDFBibTeX XMLCite \textit{H.-G. Roos} and \textit{C. Reibiger}, Numer. Math., Theory Methods Appl. 4, No. 4, 562--575 (2011; Zbl 1265.65123) Full Text: DOI
Xiong, Chunguang; Li, Yuan Error analysis for optimal control problem governed by convection diffusion equations: DG method. (English) Zbl 1213.65097 J. Comput. Appl. Math. 235, No. 10, 3163-3177 (2011). Reviewer: Karel Zimmermann (Praha) MSC: 65K10 49J20 PDFBibTeX XMLCite \textit{C. Xiong} and \textit{Y. Li}, J. Comput. Appl. Math. 235, No. 10, 3163--3177 (2011; Zbl 1213.65097) 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
Tonn, Timo; Urban, Karsten; Volkwein, Stefan Optimal control of parameter-dependent convection-diffusion problems around rigid bodies. (English) Zbl 1216.49006 SIAM J. Sci. Comput. 32, No. 3, 1237-1260 (2010). MSC: 49J20 49K20 65N35 49M05 PDFBibTeX XMLCite \textit{T. Tonn} et al., SIAM J. Sci. Comput. 32, No. 3, 1237--1260 (2010; Zbl 1216.49006) Full Text: DOI
Fu, Hongfei A characteristic finite element method for optimal control problems governed by convection-diffusion equations. (English) Zbl 1251.65093 J. Comput. Appl. Math. 235, No. 3, 825-836 (2010). MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{H. Fu}, J. Comput. Appl. Math. 235, No. 3, 825--836 (2010; Zbl 1251.65093) Full Text: DOI
Zhou, Zhaojie; Yan, Ningning The local discontinuous Galerkin method for optimal control problem governed by convection diffusion equations. (English) Zbl 1195.65086 Int. J. Numer. Anal. Model. 7, No. 4, 681-699 (2010). Reviewer: Hans Benker (Merseburg) MSC: 65K10 49J20 PDFBibTeX XMLCite \textit{Z. Zhou} and \textit{N. Yan}, Int. J. Numer. Anal. Model. 7, No. 4, 681--699 (2010; Zbl 1195.65086) Full Text: Link
Gejadze, I. Yu.; Le Dimet, F.-X.; Shutyaev, V. On optimal solution error covariances in variational data assimilation problems. (English) Zbl 1185.65106 J. Comput. Phys. 229, No. 6, 2159-2178 (2010). MSC: 65K10 49J20 49M15 PDFBibTeX XMLCite \textit{I. Yu. Gejadze} et al., J. Comput. Phys. 229, No. 6, 2159--2178 (2010; Zbl 1185.65106) Full Text: DOI Link
Liu, Weijiu Mixing enhancement in enzymatic chemical reactions by optimal tuning of flows. (English) Zbl 1191.49005 Syst. Control Lett. 58, No. 12, 834-840 (2009). MSC: 49J20 93C20 35K57 76V05 PDFBibTeX XMLCite \textit{W. Liu}, Syst. Control Lett. 58, No. 12, 834--840 (2009; Zbl 1191.49005) Full Text: DOI
Chrysafinos, Konstantinos Analysis and finite element approximations for distributed optimal control problems for implicit parabolic equations. (English) Zbl 1179.65076 J. Comput. Appl. Math. 231, No. 1, 327-348 (2009). Reviewer: Yves Cherruault (Paris) MSC: 65K10 65M60 65M15 49J20 PDFBibTeX XMLCite \textit{K. Chrysafinos}, J. Comput. Appl. Math. 231, No. 1, 327--348 (2009; Zbl 1179.65076) Full Text: DOI
Stebel, Jan; Mäkinen, Raino A. E.; Toivanen, Jukka I. Optimal shape design in a fibre orientation model. (English) Zbl 1164.35353 Appl. Math., Praha 52, No. 5, 391-405 (2007). MSC: 35J55 49Q10 49Q12 76M10 PDFBibTeX XMLCite \textit{J. Stebel} et al., Appl. Math., Praha 52, No. 5, 391--405 (2007; Zbl 1164.35353) Full Text: DOI EuDML Link
Becker, Roland; Vexler, Boris Optimal control of the convection-diffusion equation using stabilized finite element methods. (English) Zbl 1133.65037 Numer. Math. 106, No. 3, 349-367 (2007). Reviewer: Viorel Arnăutu (Iaşi) MSC: 65K10 49J20 49M15 PDFBibTeX XMLCite \textit{R. Becker} and \textit{B. Vexler}, Numer. Math. 106, No. 3, 349--367 (2007; Zbl 1133.65037) Full Text: DOI
Ruuskanen, A. R.; Seppänen, A.; Duncan, S.; Somersalo, E.; Kaipio, J. P. Using process tomography as a sensor for optimal control. (English) Zbl 1083.65061 Appl. Numer. Math. 56, No. 1, 37-54 (2006). MSC: 65K10 49J20 49J55 92C55 49N10 49N35 PDFBibTeX XMLCite \textit{A. R. Ruuskanen} et al., Appl. Numer. Math. 56, No. 1, 37--54 (2006; Zbl 1083.65061) Full Text: DOI
Marušić-Paloka, Eduard; Piatnitski, Andrey L. Homogenization of a nonlinear convection-diffusion equation with rapidly oscillating coefficients and strong convection. (English) Zbl 1106.35006 J. Lond. Math. Soc., II. Ser. 72, No. 2, 391-409 (2005). Reviewer: Dan Polisevski (Bucureşti) MSC: 35B27 35K55 49J45 PDFBibTeX XMLCite \textit{E. Marušić-Paloka} and \textit{A. L. Piatnitski}, J. Lond. Math. Soc., II. Ser. 72, No. 2, 391--409 (2005; Zbl 1106.35006) Full Text: DOI
Glushkov, E. V.; Glushkova, N. V.; Timofeev, D. V. Solution of singularly perturbed convection-diffusion problems by the method of local Green functions. (Russian, English) Zbl 1114.35058 Zh. Vychisl. Mat. Mat. Fiz. 45, No. 3, 462-471 (2005); translation in Comput. Math. Math. Phys. 45, No. 3, 444-453 (2005). Reviewer: Andrei Zemskov (Moskva) MSC: 35J25 35B25 35K99 49M15 65N99 76R99 PDFBibTeX XMLCite \textit{E. V. Glushkov} et al., Zh. Vychisl. Mat. Mat. Fiz. 45, No. 3, 462--471 (2005; Zbl 1114.35058); translation in Comput. Math. Math. Phys. 45, No. 3, 444--453 (2005)
Borzì, Alfio; Borzì, Giuseppe An efficient algebraic multigrid method for solving optimality systems. (English) Zbl 1070.65047 Comput. Vis. Sci. 7, No. 3-4, 183-188 (2004). MSC: 65K10 49J20 49M27 PDFBibTeX XMLCite \textit{A. Borzì} and \textit{G. Borzì}, Comput. Vis. Sci. 7, No. 3--4, 183--188 (2004; Zbl 1070.65047) Full Text: DOI
So, Ousséni; Mampassi, Benjamin; Somé, Blaise A successive Adomian algorithm for computing the control of a respiratory system model. (English) Zbl 1054.65067 Far East J. Appl. Math. 15, No. 1, 101-112 (2004). MSC: 65K10 49J20 49M27 92-08 92C30 PDFBibTeX XMLCite \textit{O. So} et al., Far East J. Appl. Math. 15, No. 1, 101--112 (2004; Zbl 1054.65067)
Shishkin, G. I. The Schwarz grid method for singularly perturbed convection-diffusion parabolic equations in the case of coherent and incoherent grids on subdomains. (Russian, English) Zbl 1105.49036 Zh. Vychisl. Mat. Mat. Fiz. 43, No. 2, 251-264 (2003); translation in Comput. Math. Math. Phys. 43, No. 2, 242-254 (2003). MSC: 49M27 65M06 35B25 35K57 65M12 65M55 PDFBibTeX XMLCite \textit{G. I. Shishkin}, Zh. Vychisl. Mat. Mat. Fiz. 43, No. 2, 251--264 (2003; Zbl 1105.49036); translation in Comput. Math. Math. Phys. 43, No. 2, 242--254 (2003)
Kacur, Jozef; Van Keer, Roger Solution of degenerate parabolic variational inequalities with convection. (English) Zbl 1033.65049 M2AN, Math. Model. Numer. Anal. 37, No. 3, 417-431 (2003). Reviewer: Akrur Behera (Rourkela) MSC: 65K10 49J40 35K85 65M25 PDFBibTeX XMLCite \textit{J. Kacur} and \textit{R. Van Keer}, M2AN, Math. Model. Numer. Anal. 37, No. 3, 417--431 (2003; Zbl 1033.65049) Full Text: DOI Numdam EuDML
Nguyen, Phuong Anh; Raymond, Jean-Pierre Control problems for convection-diffusion equations with control localized on manifolds. (English) Zbl 1004.49019 ESAIM, Control Optim. Calc. Var. 6, 467-488 (2001). MSC: 49K20 35K57 49J20 PDFBibTeX XMLCite \textit{P. A. Nguyen} and \textit{J.-P. Raymond}, ESAIM, Control Optim. Calc. Var. 6, 467--488 (2001; Zbl 1004.49019) Full Text: DOI Numdam EuDML
Huang, C.-S.; Wang, S.; Teo, K. L. Solving Hamilton-Jacobi-Bellman equations by a modified method of characteristics. (English) Zbl 0959.49021 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 40, No. 1-8, 279-293 (2000). Reviewer: Stefan Mirica (Bucureşti) MSC: 49M30 49L20 49L25 65K10 PDFBibTeX XMLCite \textit{C. S. Huang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 40, No. 1--8, 279--293 (2000; Zbl 0959.49021) Full Text: DOI
Kuznetsov, Yu. A.; Neittaanmäki, P.; Tarvainen, P. Overlapping block methods for obstacle problems with convection-diffusion operators. (English) Zbl 0889.49020 Ferris, Michael C. (ed.) et al., Complementarity and variational problems. State of the art. Proceedings of the international conference, Baltimore, MD, USA, November 1–4, 1995. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 165-180 (1997). MSC: 49M20 90C33 49J40 65F30 65N55 90C06 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov} et al., in: Complementarity and variational problems. State of the art. Proceedings of the international conference, Baltimore, MD, USA, November 1--4, 1995. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 165--180 (1997; Zbl 0889.49020)
Hirano, H.; Kawahara, M.; Yoshida, K. An optimal control analysis of water pollution problem. (English) Zbl 0880.76063 Int. J. Comput. Fluid Dyn. 7, No. 1-2, 119-129 (1996). MSC: 76M99 76B15 49J20 86A05 PDFBibTeX XMLCite \textit{H. Hirano} et al., Int. J. Comput. Fluid Dyn. 7, No. 1--2, 119--129 (1996; Zbl 0880.76063) Full Text: DOI
Kuznetsov, Yu. A.; Neittaanmäki, P.; Tarvainen, P. Schwarz methods for obstacle problems with convection-diffusion operators. (English) Zbl 0817.65052 Keyes, David E. (ed.) et al., Domain decomposition methods in scientific and engineering computing. Proceedings of the 7th international conference on domain decomposition, October 27-30, 1993, Pennsylvania State University, PA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 180, 251-256 (1994). MSC: 65K10 65N30 65N55 49M15 49M25 35J85 49J40 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov} et al., Contemp. Math. 180, 251--256 (1994; Zbl 0817.65052)
Smolinski, P. A variational formulation for the generalized Galerkin method for the convection-diffusion equation. (English) Zbl 0676.76083 Comput. Methods Appl. Mech. Eng. 73, No. 1, 93-98 (1989). MSC: 76R50 49S05 PDFBibTeX XMLCite \textit{P. Smolinski}, Comput. Methods Appl. Mech. Eng. 73, No. 1, 93--98 (1989; Zbl 0676.76083) Full Text: DOI