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Found 22 Documents (Results 1–22)

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).
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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
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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
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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
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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
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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
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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).
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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
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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
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