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.
2004-01-01
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.File in questo prodotto:
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