Name
Abstract | ||
|---|---|---|
Homogenization of a spectral problem in a bounded domain with a high contrast in both stiffness and density is considered. For a special critical scaling, two-scale asymptotic expansions for eigenvalues and eigenfunctions are constructed. Two-scale limit equations are derived and relate to certain nonstandard self-adjoint operators. In particular they explicitly display the first two terms in the asymptotic expansion for the eigenvalues, with a surprising bound for the error of order epsilon(5/4) proved. |
Year | Venue | Keywords |
|---|---|---|
2008 | NETWORKS AND HETEROGENEOUS MEDIA | eigenvalue asymptotics,periodic media,homogenization,high-contrasts,mathematical analysis,self adjoint operator,scaling limit,fibers,eigenvalues,media,coefficients,spectral theory,asymptotic expansion |
Field | DocType | Volume |
Mathematical optimization,Eigenfunction,Stiffness,Mathematical analysis,Homogenization (chemistry),Asymptotic expansion,Operator (computer programming),Scaling,Mathematics,Eigenvalues and eigenvectors,Bounded function | Journal | 3 |
Issue | ISSN | Citations |
3 | 1556-1801 | 4 |
PageRank | References | Authors |
1.97 | 2 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Natalia O. Babych | 1 | 4 | 1.97 |
| Ilia V. Kamotski | 2 | 4 | 1.97 |
| Valery P. Smyshlyaev | 3 | 10 | 6.80 |