Name
Title | ||
|---|---|---|
Unfolding operator method for thin domains with a locally periodic highly oscillatory boundary |
Abstract | ||
|---|---|---|
We analyze the behavior of solutions of the Poisson equation with homogeneous Neumann boundary conditions in a two-dimensional thin domain which presents locally periodic oscillations at the boundary. The oscillations are such that both the amplitude and period of the oscillations may vary in space. We obtain the homogenized limit problem and a corrector result by extending the unfolding operator method to the case of locally periodic media. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1137/15M101600X | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
thin domain,oscillatory boundary,homogenization,unfolding method,locally periodic,varying period | Mathematical optimization,Oscillation,Poisson's equation,Homogenization (chemistry),Homogeneous,Mathematical analysis,Operator (computer programming),Neumann boundary condition,Periodic graph (geometry),Amplitude,Mathematics | Journal |
Volume | Issue | ISSN |
48 | 3 | 0036-1410 |
Citations | PageRank | References |
1 | 0.48 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| JOSÉ M. ARRIETA | 1 | 2 | 1.93 |
| Manuel Villanueva-Pesqueira | 2 | 14 | 1.58 |