Geodesic
Fully explicit quasiconvexification of the mean-square deviation of the gradient of the state in optimal design
Pedregal, Pablo1
1Departamento de Matemáticas, ETSI Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain
Electronic research announcements of the American Mathematical Society, Tome 07 (2001), pp. 72-78
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We explicitly compute the quasiconvexification of the resulting integrand associated with the mean-square deviation of the gradient of the state with respect to a given target field, when the underlying optimal design problem in conductivity is reformulated as a purely variational problem. What is remarkable, more than the formula itself, is the fact that it can be shown to be the full quasiconvexification.
DOI : 10.1090/S1079-6762-01-00096-8

Pedregal, Pablo  1

1 Departamento de Matemáticas, ETSI Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain 
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Pedregal, Pablo. Fully explicit quasiconvexification of the mean-square deviation of the gradient of the state in optimal design. Electronic research announcements of the American Mathematical Society, Tome 07 (2001), pp. 72-78. doi: 10.1090/S1079-6762-01-00096-8

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