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Numerical analysis of some optimal control problems governed by a class of quasilinear elliptic equations

Abstract: In this paper, we carry out the numerical analysis of a distributed optimal control problem governed by a quasilinear elliptic equation of non-monotone type. The goal is to prove the strong convergence of the discretization of the problem by finite elements. The main issue is to get error estimates for the discretization of the state equation. One of the difficulties in this analysis is that, in spite of the partial differential equation has a unique solution for any given control, the uniqueness of a solution for the discrete equation is an open problem.

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Autoría: Casas E., Tröltzsch F.,

Fuente: ESAIM - Control, Optimisation and Calculus of Variations, 2011, 17(3), 771-800

Editorial: EDP Sciences

Fecha de publicación: 01/09/2011

Nº de páginas: 30

Tipo de publicación: Artículo de Revista

DOI: 10.1051/cocv/2010025

ISSN: 1292-8119,1262-3377

Proyecto español: MTM2008-04206

Url de la publicación: https://doi.org/10.1051/cocv/2010025

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EDUARDO CASAS RENTERIA

FREDI TRÖLTZSCH

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