Discretization of Coefficient Control Problems with a Nonlinear Cost in the Gradient

J. Casado-Díaz (), J. Couce-Calvo (), M. Luna-Laynez () and J. D. Martín-Gómez ()
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J. Casado-Díaz: Universidad de Sevilla
J. Couce-Calvo: Universidad de Sevilla
M. Luna-Laynez: Universidad de Sevilla
J. D. Martín-Gómez: Universidad de Sevilla

Chapter 6 in Integral Methods in Science and Engineering, Volume 2, 2010, pp 55-63 from Springer

Abstract: Abstract We consider a control problem of optimal design consisting in mixing two electric phases in order to minimize a given objective function. For simplicity, we assume that the two phases are isotropic, although the results still hold true for more general composites (see [CaEtAl08]). Mathematically the problem can be formulated as follows. Let Ω be a bounded smooth open set in $$\mathbb{R}^N, N \geq 2, $$ , let α, β, k be positive constants such that $$\alpha

Date: 2010
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DOI: 10.1007/978-0-8176-4897-8_6

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