Numerical solution of optimization problems for semi-linear elliptic equations with discontinuous coefficients and solutions

DOI10.1016/j.apnum.2015.12.006zbMath1336.65112OpenAlexW2253553592MaRDI QIDQ268873

F. V. Lubyshev, A. R. Manapova

Publication date: 15 April 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2015.12.006

zbMATH Keywords

convergencediscontinuous coefficientsiterative methodoptimal control problemfinite difference approximationsemi-linear elliptic equations

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

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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
• The accuracy of finite-difference schemes for parabolic equations with a discontinuous solution

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