Asymptotic analysis and error estimates for an optimal control problem with oscillating boundaries

DOI10.1007/s11565-011-0135-3zbMath1304.35720OpenAlexW2054389227MaRDI QIDQ473497

Ravi Prakash, A. K. Nandakumaran, Jean-Pierre Raymond

Publication date: 24 November 2014

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-011-0135-3

zbMATH Keywords

error estimateshomogenizationadjoint systemoscillating boundaryinterior controloptimal control and optimal solution

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Asymptotic behavior of solutions to PDEs (35B40) Existence theories for optimal control problems involving partial differential equations (49J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with control and optimization (35Q93)

Related Items (13)

Homogenization of a boundary optimal control problem governed by Stokes equations ⋮ Periodic Controls in an Oscillating Domain: Controls via Unfolding and Homogenization ⋮ Generalization of unfolding operator for highly oscillating smooth boundary domains and homogenization ⋮ Homogenization of semi-linear optimal control problems on oscillating domains with matrix coefficients ⋮ Homogenization of distributive optimal control problem governed by Stokes system in an oscillating domain ⋮ Semi-linear optimal control problem on a smooth oscillating domain ⋮ Asymptotic analysis of an interior optimal control problem governed by Stokes equations ⋮ Stokes’ System in a Domain with Oscillating Boundary: Homogenization and Error Analysis of an Interior Optimal Control Problem ⋮ Locally periodic unfolding operator for highly oscillating rough domains ⋮ Strong contrasting diffusivity in general oscillating domains: homogenization of optimal control problems ⋮ Asymptotic analysis of Neumann periodic optimal boundary control problem ⋮ Homogenization of optimal control problems in perforated domains via periodic unfolding method ⋮ Exact internal controllability for the wave equation in a domain with oscillating boundary with Neumann boundary condition

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