Optimal control of a fine structure

DOI10.1007/BF01189449zbMath0812.49009OpenAlexW2079807303MaRDI QIDQ1334921

Karl-Heinz Hoffmann, Tomáš Roubíček

Publication date: 26 September 1994

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

Full work available at URL: https://doi.org/10.1007/bf01189449

zbMATH Keywords

optimal controlnonconvex variational problemfine structurefinite-element approximationrelaxed variational problem

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence theories for problems in abstract spaces (49J27)

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Cites Work

• Energy minimization and the formation of microstructure in dynamic anti- plane shear
• Weak Convergence of Integrands and the Young Measure Representation
• A necessary and sufficient condition for nonattainment and formation of microstructure almost everywhere in scalar variational problems
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