Optimal control of the obstacle problem in a perforated domain

DOI10.1007/s00245-012-9170-4zbMath1346.49014OpenAlexW2054079679MaRDI QIDQ2391934

Martin Strömqvist

Publication date: 5 August 2013

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-012-9170-4

zbMATH Keywords

optimal controlvariational inequalityhomogenizationobstacle problemperforated domain

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20) Variational inequalities (49J40) Existence theories for optimal control problems involving partial differential equations (49J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (5)

On the homogenization of an optimal control problem in a domain perforated by holes of critical size and arbitrary shape ⋮ On the convergence of controls and cost functionals in some optimal control heterogeneous problems when the homogenization process gives rise to some strange terms ⋮ Optimal control and ``strange term arising from homogenization of the Poisson equation in the perforated domain with the Robin-type boundary condition in the critical case ⋮ Homogenization of the optimal control problem for the Dirichlet cost functional and the Poisson state problem with rapidly alternating boundary conditions in critical case ⋮ Optimal control for the infinity obstacle problem

Cites Work

• On convergence of functionals with unilateral constraints
• Polarization and moment tensors. With applications to inverse problems and effective medium theory
• Potential and scattering theory on wildly perturbed domains
• Optimal control of the obstacle for an elliptic variational inequality
• Optimal control on perforated domains
• The obstacle problem revisited
• Optimal control and ``strange term for a Stokes problem in perforated domains
• Viscosity method for homogenization of highly oscillating obstacles
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