Homogenization of periodic structures via Bloch decomposition
Data(s) |
01/12/1997
|
---|---|
Resumo |
In this paper, the classical problem of homogenization of elliptic operators in arbitrary domains with periodically oscillating coefficients is considered. Using Bloch wave decomposition, a new proof of convergence is furnished. It sheds new light and offers an alternate way to view the classical results. In a natural way, this method leads us to work in the Fourier space and thus in a framework dual to the one used by L. Tartar [Problemes d'Homogeneisation dans les Equations aux: Derivees Partielles, Cours Peccot au College de Prance, 1977] in his method of homogenization. Further, this technique offers a nontraditional way of calculating the homogenized coefficients which is easy to implement in the computer. |
Formato |
application/pdf |
Identificador |
http://eprints.iisc.ernet.in/38266/1/HOMOGENIZATION_OF_PERIODIC.pdf Conca, Carlos and Vanninathan, Muthusamy (1997) Homogenization of periodic structures via Bloch decomposition. In: SIAM Journal on Applied Mathematics, 57 (6). pp. 1639-1659. |
Publicador |
Society for Industrial and Applied Mathematics |
Relação |
http://epubs.siam.org/siap/resource/1/smjmap/v57/i6/p1639_s1 http://eprints.iisc.ernet.in/38266/ |
Palavras-Chave | #Others |
Tipo |
Journal Article PeerReviewed |