Lubyshev, F. V.; Manapova, A. R. Approximations to problems of optimal control of leading coefficients of elliptic equations in nondivergence form with an unbounded nonlinearity in the coefficients. (English. Russian original) Zbl 1468.49031 Differ. Equ. 57, No. 6, 780-804 (2021); translation from Differ. Uravn. 57, No. 6, 796-820 (2021). MSC: 49M25 65N06 90C30 49J20 PDFBibTeX XMLCite \textit{F. V. Lubyshev} and \textit{A. R. Manapova}, Differ. Equ. 57, No. 6, 780--804 (2021; Zbl 1468.49031); translation from Differ. Uravn. 57, No. 6, 796--820 (2021) Full Text: DOI
Lubyshev, F. V.; Manapova, A. R. On certain problems of optimal control and their approximations for some non-self-adjoint elliptic equations of the convection-diffusion type. (English. Russian original) Zbl 1447.49007 J. Math. Sci., New York 245, No. 1, 1-22 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 143, 3-23 (2017). MSC: 49J20 35J61 65N06 PDFBibTeX XMLCite \textit{F. V. Lubyshev} and \textit{A. R. Manapova}, J. Math. Sci., New York 245, No. 1, 1--22 (2020; Zbl 1447.49007); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 143, 3--23 (2017) Full Text: DOI
Lubyshev, F. V.; Manapova, A. R. Approximation of optimal control problems for the coefficients of elliptic convection-diffusion equations with an imperfect contact type conjugation conditions. (Russian. English summary) Zbl 1524.65716 Zh. Sredn. Mat. Obshch. 21, No. 2, 187-214 (2019). Reviewer: Artyom Andronov (Saransk) MSC: 65N06 65N12 49M25 76R50 PDFBibTeX XMLCite \textit{F. V. Lubyshev} and \textit{A. R. Manapova}, Zh. Sredn. Mat. Obshch. 21, No. 2, 187--214 (2019; Zbl 1524.65716) Full Text: DOI Link
Manapova, Aigul On convergence of difference approximations of extremum problems described by elliptic equations with unbounded nonlinearity. (English) Zbl 1434.65217 Dimov, Ivan (ed.) et al., Finite difference methods. Theory and applications. 7th international conference, FDM 2018, Lozenetz, Bulgaria, June 11–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11386, 346-353 (2019). MSC: 65N06 65N12 49M25 PDFBibTeX XMLCite \textit{A. Manapova}, Lect. Notes Comput. Sci. 11386, 346--353 (2019; Zbl 1434.65217) Full Text: DOI
Manapova, Aigul On the differentiation of the functional in distributed optimization problems with imperfect contact. (English) Zbl 1499.49018 Filomat 32, No. 3, 775-783 (2018). MSC: 49J20 35J65 49M25 65N06 PDFBibTeX XMLCite \textit{A. Manapova}, Filomat 32, No. 3, 775--783 (2018; Zbl 1499.49018) Full Text: DOI
Manapova, Aigul; Lubyshev, Fedor On a problem of optimal control of convection-diffusion processes. (English) Zbl 1443.49009 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 11th international conference, LSSC 2017, Sozopol, Bulgaria, June 5–9, 2017. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10665, 167-174 (2018). MSC: 49J20 49M25 35J61 PDFBibTeX XMLCite \textit{A. Manapova} and \textit{F. Lubyshev}, Lect. Notes Comput. Sci. 10665, 167--174 (2018; Zbl 1443.49009) Full Text: DOI
Lubyshev, F. V.; Fairuzov, M. E.; Manapova, A. R. Accuracy of difference schemes for nonlinear elliptic equations with non-restricted nonlinearity. (Russian. English summary) Zbl 1413.65403 Zh. Sredn. Mat. Obshch. 19, No. 3, 41-52 (2017). Reviewer: Tatuana Badokina (Saransk) MSC: 65N06 65N12 65N15 35J60 PDFBibTeX XMLCite \textit{F. V. Lubyshev} et al., Zh. Sredn. Mat. Obshch. 19, No. 3, 41--52 (2017; Zbl 1413.65403)
Manapova, Aigul An approximate solution of optimization problems for elliptic interface problems with variable coefficients and imperfect contact. (English) Zbl 1368.65098 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 473-481 (2017). MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{A. Manapova}, Lect. Notes Comput. Sci. 10187, 473--481 (2017; Zbl 1368.65098) Full Text: DOI
Manapova, A. R.; Lubyshev, F. V. On Frechet differentiability of cost functional in optimal control of coefficients of elliptic equations. (Russian. English summary) Zbl 1374.49006 Ufim. Mat. Zh. 8, No. 1, 84-101 (2016). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 49J20 35J61 65N06 PDFBibTeX XMLCite \textit{A. R. Manapova} and \textit{F. V. Lubyshev}, Ufim. Mat. Zh. 8, No. 1, 84--101 (2016; Zbl 1374.49006) Full Text: DOI
Lubyshev, F. V.; Manapova, A. R.; Fairuzov, M. E. Approximation of optimal control problems for semi-linear elliptic convection-diffusion equations with discontinuous coefficients of diffusion and convective transfer. (Russian. English summary) Zbl 1374.65112 Zh. Sredn. Mat. Obshch. 18, No. 1, 54-69 (2016). Reviewer: Tatuana Badokina (Saransk) MSC: 65K10 49J20 35J61 49M25 65N06 PDFBibTeX XMLCite \textit{F. V. Lubyshev} et al., Zh. Sredn. Mat. Obshch. 18, No. 1, 54--69 (2016; Zbl 1374.65112)
Manapova, A. R.; Lubyshev, F. V. Numerical solution of optimization problems for semi-linear elliptic equations with discontinuous coefficients and solutions. (English) Zbl 1336.65112 Appl. Numer. Math. 104, 182-203 (2016). MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{A. R. Manapova} and \textit{F. V. Lubyshev}, Appl. Numer. Math. 104, 182--203 (2016; Zbl 1336.65112) Full Text: DOI
Manapova, Aigul An iterative process for the solution of semi-linear elliptic equations with discontinuous coefficients and solution. (English) Zbl 07227093 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 10th international conference, LSSC 2015, Sozopol, Bulgaria, June 8–12, 2015. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 9374, 427-434 (2015). MSC: 65-XX PDFBibTeX XMLCite \textit{A. Manapova}, Lect. Notes Comput. Sci. 9374, 427--434 (2015; Zbl 07227093) Full Text: DOI
Lubyshev, F. V.; Manapova, A. R.; Fairuzov, M. E. Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions and with control in matching boundary conditions. (English. Russian original) Zbl 1326.49044 Comput. Math. Math. Phys. 54, No. 11, 1700-1724 (2014); translation from Zh. Vychisl. Mat. Mat. Fiz. 54, No. 11, 1767-1792 (2014). MSC: 49M25 49J20 65N06 35J61 PDFBibTeX XMLCite \textit{F. V. Lubyshev} et al., Comput. Math. Math. Phys. 54, No. 11, 1700--1724 (2014; Zbl 1326.49044); translation from Zh. Vychisl. Mat. Mat. Fiz. 54, No. 11, 1767--1792 (2014) Full Text: DOI
Lubyshev, F. V.; Fairuzov, M. E.; Manapova, A. R. Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions. (Russian. English summary) Zbl 1299.49002 Zh. Sredn. Mat. Obshch. 15, No. 1, 77-89 (2013). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 49J20 93C20 35R25 47A52 PDFBibTeX XMLCite \textit{F. V. Lubyshev} et al., Zh. Sredn. Mat. Obshch. 15, No. 1, 77--89 (2013; Zbl 1299.49002)
Lubyshev, F. V.; Manapova, A. R. Difference approximations of optimization problems for semilinear elliptic equationsin a convex domain with controls in the coefficients multiplying the highest derivatives. (Russian, English) Zbl 1274.49007 Zh. Vychisl. Mat. Mat. Fiz. 53, No. 1, 20-46 (2013); translation in Comput. Math. Math. Phys. 53, No. 1, 8-33 (2013). MSC: 49J20 35J61 PDFBibTeX XMLCite \textit{F. V. Lubyshev} and \textit{A. R. Manapova}, Zh. Vychisl. Mat. Mat. Fiz. 53, No. 1, 20--46 (2013; Zbl 1274.49007); translation in Comput. Math. Math. Phys. 53, No. 1, 8--33 (2013) Full Text: DOI Link
Lubyshev, F. V.; Fairuzov, M. E.; Manapova, A. R. Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions. (Russian. English summary) Zbl 1299.49038 Zh. Sredn. Mat. Obshch. 14, No. 1, 59-72 (2012). Reviewer: Tatiana Mamedova (Saransk) MSC: 49M25 93C20 65M06 PDFBibTeX XMLCite \textit{F. V. Lubyshev} et al., Zh. Sredn. Mat. Obshch. 14, No. 1, 59--72 (2012; Zbl 1299.49038)
Lubyshev, F. V.; Manapova, A. R. Approximation and regularization of optimal control problem for non-self-adjoint elliptic equation in arbitrary convex domain with controls in the coefficient nonlinear term and right-hand-side. (Russian. English summary) Zbl 1240.49005 Zh. Sredn. Mat. Obshch. 12, No. 2, 67-76 (2010). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 49J20 35J25 PDFBibTeX XMLCite \textit{F. V. Lubyshev} and \textit{A. R. Manapova}, Zh. Sredn. Mat. Obshch. 12, No. 2, 67--76 (2010; Zbl 1240.49005)
Lubyshev, F. V.; Manapova, A. R.; Fairuzov, M. E. On some optimal control problems for inhomogeneous anisotropic media and their difference approximations. (Russian. English summary) Zbl 1199.65216 Tr. Sredn. Mat. Obshch. 10, No. 2, 155-165 (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{F. V. Lubyshev} et al., Tr. Sredn. Mat. Obshch. 10, No. 2, 155--165 (2008; Zbl 1199.65216)
Manapova, A. R. Numerical solving of some optimization problems for quasilinear elliptic equations. (Russian. English summary) Zbl 1164.49007 Tr. Sredn. Mat. Obshch. 10, No. 1, 210-222 (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 49M30 93C20 93B40 35J50 PDFBibTeX XMLCite \textit{A. R. Manapova}, Tr. Sredn. Mat. Obshch. 10, No. 1, 210--222 (2008; Zbl 1164.49007)
Manapova, A. P. Finitedimensional approximations of some problems of optimal control for quasilinear elliptic equations. (Russian) Zbl 1150.49328 Tr. Sredn. Mat. Obshch. 9, No. 1, 11-16 (2007). Reviewer: Tatiana Mamedova (Saransk) MSC: 49M30 93C20 35B37 PDFBibTeX XMLCite \textit{A. P. Manapova}, Tr. Sredn. Mat. Obshch. 9, No. 1, 11--16 (2007; Zbl 1150.49328)
Lubyshev, F. V.; Manapova, A. R. On some optimal control problems and their finite difference approximations and regularization for quasilinear elliptic equations with controls in the coefficients. (Russian, English) Zbl 1210.49020 Zh. Vychisl. Mat. Mat. Fiz. 47, No. 3, 376-396 (2007); translation in Comput. Math. Math. Phys. 47, No. 3, 361-380 (2007). MSC: 49K20 90C46 PDFBibTeX XMLCite \textit{F. V. Lubyshev} and \textit{A. R. Manapova}, Zh. Vychisl. Mat. Mat. Fiz. 47, No. 3, 376--396 (2007; Zbl 1210.49020); translation in Comput. Math. Math. Phys. 47, No. 3, 361--380 (2007) Full Text: DOI
Lubyshev, F. C.; Manapova, A. R.; Fayruzov, M. E. Difference approximation and regularization of nonlinear optimal control problems for quasilinear equations of elliptic type. (Russian) Zbl 1150.35500 Tr. Sredn. Mat. Obshch. 7, No. 1, 312-321 (2005). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35N99 PDFBibTeX XMLCite \textit{F. C. Lubyshev} et al., Tr. Sredn. Mat. Obshch. 7, No. 1, 312--321 (2005; Zbl 1150.35500)