Long Time Behavior of a Two-Phase Optimal Design for the Heat Equation

DOI10.1137/090780481zbMath1298.35015OpenAlexW1998297320MaRDI QIDQ3083268

Arnaud Münch, Francisco Periago, Grégoire Allaire

Publication date: 21 March 2011

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

Full work available at URL: https://doi.org/10.1137/090780481

zbMATH Keywords

asymptotic behaviorheat equationoptimality conditionsnumerical simulationoptimal designrelaxation by the homogenization method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Asymptotic behavior of solutions to PDEs (35B40) Heat equation (35K05) Methods involving semicontinuity and convergence; relaxation (49J45) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

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