Moreau–Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment

DOI10.1137/080718735zbMath1191.49036OpenAlexW2023628309WikidataQ115155195 ScholiaQ115155195MaRDI QIDQ3578049

Michael Hinze, Michael Hintermüller

Publication date: 13 July 2010

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080718735

zbMATH Keywords

error estimatespointwise state constraintselliptic optimal control problemMoreau-Yosida-based regularization

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Boundary value problems for second-order elliptic equations (35J25) Numerical methods based on nonlinear programming (49M37) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Regularity of solutions in optimal control (49N60) Discrete approximations in optimal control (49M25)

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