High-order homogenization in optimal control by the Bloch wave method
DOI10.1051/cocv/2021088zbMath1479.35060arXiv2010.04469OpenAlexW3197362640MaRDI QIDQ5016157
Agnes Lamacz-Keymling, Irwin Yousept
Publication date: 13 December 2021
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.04469
General topics in linear spectral theory for PDEs (35P05) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Semilinear elliptic equations (35J61)
Cites Work
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- A comparison between two-scale asymptotic expansions and Bloch wave expansions for the homogenization of periodic structures
- Effective acoustic properties of a meta-material consisting of small Helmholtz resonators
- Homogenization of an optimal control problem with state-constraints
- Optimal control problems for partial differential equations on reticulated domains. Approximation and asymptotic analysis
- Effective models and numerical homogenization for wave propagation in heterogeneous media on arbitrary timescales
- Non-homogeneous media and vibration theory
- Homogenization of periodic optimal control problems via multi-scale convergence
- Homogenization of optimal control problems for functional differential equations
- Correctors for the homogenization of the wave and heat equations
- High-order asymptotics of the solution of a problem of optimal control of a distributed system with rapidly oscillating coefficients
- Asymptotic analysis of state constrained semilinear optimal control problems
- Bloch Approximation in Homogenization and Applications
- Homogenization of Maxwell's Equations in a Split Ring Geometry
- A Priori Error Analysis of the Finite Element Heterogeneous Multiscale Method for the Wave Equation over Long Time
- Optimal Control of Quasilinear $\boldsymbol{H}(\mathbf{curl})$-Elliptic Partial Differential Equations in Magnetostatic Field Problems
- The Periodic Unfolding Method in Domains with Holes
- Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization
- DISPERSIVE EFFECTIVE MODELS FOR WAVES IN HETEROGENEOUS MEDIA
- Dispersive homogenized models and coefficient formulas for waves in general periodic media
- On Burnett coefficients in periodic media
- A Dispersive Effective Medium for Wave Propagation in Periodic Composites
- Homogenization of Periodic Structures via Bloch Decomposition
- Homogenization of an Optimal Control Problem
- Crime pays; homogenized wave equations for long times
- Asymptotic analysis of an optimal boundary control problem for ill-posed elliptic equation in domains with rugous boundary
- Long-time homogenization and asymptotic ballistic transport of classical waves
- Bloch-Wave Homogenization on Large Time Scales and Dispersive Effective Wave Equations
- Optimal Control of Non-Smooth Hyperbolic Evolution Maxwell Equations in Type-II Superconductivity
- On \(S\)-homogenization of an optimal control problem with control and state constraints
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