Error estimates for a neumann problem in highly oscillating thin domains
Loading...
Files
External sources
External sources
Date
Authors
Advisor
Coadvisor
Graduate program
Undergraduate course
Journal Title
Journal ISSN
Volume Title
Publisher
Type
Article
Access right
Acesso restrito
Files
External sources
External sources
Abstract
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.
Description
Keywords
Correctors, Error estimate., Homogenization, Thin domains
Language
English
Citation
Discrete and Continuous Dynamical Systems- Series A, v. 33, n. 2, p. 803-817, 2013.
