A Multiscale Approach for Optimal Control Problems of Linear Parabolic Equations

DOI10.1137/110828800zbMath1264.65093OpenAlexW1977422274MaRDI QIDQ4910563

Walter Allegretto, Li-qun Cao, Jian-Jun Liu, Yan Ping Lin

Publication date: 19 March 2013

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10397/6244

zbMATH Keywords

optimal controlconvergence rateshomogenizationboundary layerslinear parabolic equationsmultiscale asymptotic expansion

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Decomposition methods (49M27) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (4)

Heterogeneous multiscale method for optimal control problem governed by parabolic equation with highly oscillatory coefficients ⋮ Multiscale Differential Riccati Equations for Linear Quadratic Regulator Problems ⋮ Optimal Control for Multiscale Elliptic Equations with Rough Coefficients ⋮ Rough polyharmonic splines method for optimal control problem governed by parabolic systems with rough coefficient

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