Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and states and with controls in the coefficients multiplying the highest derivatives
type: Item
instance of: scholarly article
title: Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and states and with controls in the coefficients multiplying the highest derivatives
zbMATH Open document ID: 1362.65066
DOI: 10.1134/S0965542516070125
author: F. V. Lubyshev
author: M. E. Fairuzov
published in: Computational Mathematics and Mathematical Physics
publication date: 2017-04-04T00:00:00Z
review text: The authors study nonlinear optimal control problems for semilinear elliptic equations with discontinuous coefficients and with controls in the coefficients multiplying the highest derivatives. Finite difference approximations are constructed, and the approximation error is estimated. Weak convergence of the approximations with respect to the control is proved.
reviewed by: Hans Benker
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49M25
zbMATH DE Number: 6700376
zbMATH Keywords: nonlinear optimal control problems
zbMATH Keywords: semilinear elliptic equations
zbMATH Keywords: discontinuous coefficients
zbMATH Keywords: finite difference approximations
zbMATH Keywords: weak convergence
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6700376