We consider a mixed boundary-value problem for the Poisson equation in a plane two-level junction O (N –1). The thin rods are divided into two levels, depending on their length. In addition, the thin rods from each level are -periodically alternated. We investigate the asymptotic behavior of the solution as 0 under the Robin conditions on the boundaries of the thin rods. By using some special extension operators, a convergence theorem is proved.

Homogenization of the Robin problem in a thick multilevel junction

Perugia C.
2004

Abstract

We consider a mixed boundary-value problem for the Poisson equation in a plane two-level junction O (N –1). The thin rods are divided into two levels, depending on their length. In addition, the thin rods from each level are -periodically alternated. We investigate the asymptotic behavior of the solution as 0 under the Robin conditions on the boundaries of the thin rods. By using some special extension operators, a convergence theorem is proved.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12070/2127
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