Artículo
Quasiconvexification in 3-D for a variational reformulation of an optimal design problem in conductivity
Autor/es | Maestre Caballero, Faustino
Pedregal Tercero, Pablo |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2006-05-01 |
Fecha de depósito | 2016-10-11 |
Publicado en |
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Resumen | We analyze a typical 3-D conductivity problem which consists in seeking the optimal layout of two materials in a given design domain Ω ⊂ IR3 by minimizing the L2-norm of the electric field under a constraint on the amount ... We analyze a typical 3-D conductivity problem which consists in seeking the optimal layout of two materials in a given design domain Ω ⊂ IR3 by minimizing the L2-norm of the electric field under a constraint on the amount on each material that we can use. We utilize a characterization of the three-dimensional divergence-free vector fields which is especially appropriate for a variational reformulation. By using gradient Young measures as a main tool, we can give an explicit form of the ”constrained quasiconvexification” of the cost density. This result is similar to the one in the 2-D situation. However, the characterization of the divergence-free vector fields introduces a certain nonlinearity in the problem that needs to be addressed properly. |
Agencias financiadoras | Ministerio de Ciencia y Tecnología (MCYT). España Junta de Castilla-La Mancha |
Identificador del proyecto | MTM2004-07114
03/034 |
Cita | Maestre Caballero, F. y Pedregal Tercero, P. (2006). Quasiconvexification in 3-D for a variational reformulation of an optimal design problem in conductivity. Nonlinear Analysis: Theory, Methods and Applications, 64 (9), 1962-1976. |
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