Document Zbl 1086.49013

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Constrained quasiconvexification of the square of the gradient of the state in optimal design. (English) Zbl 1086.49013

Q. Appl. Math. 62, No. 3, 459-470 (2004).

The quasiconvex envelope is explicitly computed of an integrand associated with the square of the gradient of the state in a typical optimal design problem in two dimensions under a volume constraint.

Reviewer: Riccardo De Arcangelis (Napoli)

Cited in 1 Review

Cited in 9 Documents

MSC:

49J45	Methods involving semicontinuity and convergence; relaxation
74P10	Optimization of other properties in solid mechanics
49J20	Existence theories for optimal control problems involving partial differential equations

Keywords:

quasiconvexity; optimal design; volume constraints

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