Name
Abstract | ||
|---|---|---|
The homogenization of the Maxwell equationsat fixed frequency is addressed in this paper. The bulk ( homogenized) electric and magnetic properties of a material with a periodic microstructure are found from the solution of a local problem on the unit cell by suitable averages. The material can be anisotropic and satisfies a coercivity condition. The exciting field is generated by an incident field from sources outside the material under investigation. A suitable sesquilinear form is defined for the interior problem, and the exterior Calderon operator is used to solve the exterior radiating fields. The concept of two-scale convergence is employed to solve the homogenization problem. A new a priori estimate is proved as well as a new result on the correctors. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1137/S0036139902403366 | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | DocType | Volume |
Maxwell equations,homogenization,heterogeneous materials,periodic microstructure,effective properties,two-scale convergence,corrector results | Journal | 64 |
Issue | ISSN | Citations |
1 | 0036-1399 | 2 |
PageRank | References | Authors |
1.05 | 1 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gerhard Kristensson | 1 | 11 | 3.46 |
| Niklas Wellander | 2 | 6 | 2.85 |