Artículos de revistas
Error estimates for a neumann problem in highly oscillating thin domains
Fecha
2013-01-01Registro en:
Discrete and Continuous Dynamical Systems- Series A, v. 33, n. 2, p. 803-817, 2013.
1078-0947
1553-5231
10.3934/dcds.2013.33.803
WOS:000309289900018
2-s2.0-84867865189
Autor
Universidade de São Paulo (USP)
Universidade Estadual Paulista (Unesp)
Institución
Resumen
In this work we analyze the convergence of solutions of the Poisson equation with Neumann boundary conditions in a two-dimensional thin domain with highly oscillatory behavior. We consider the case where the height of the domain, amplitude and period of the oscillations are all of the same order, and given by a small parameter e > 0. Using an appropriate corrector approach, we show strong convergence and give error estimates when we replace the original solutions by the first-order expansion through the Multiple-Scale Method.