Bloch approximation in homogenization on bounded domains
Author | dc.contributor.author | Conca Rosende, Carlos | |
Author | dc.contributor.author | Orive, R. | es_CL |
Author | dc.contributor.author | Vanninathan, Muthusamy | es_CL |
Admission date | dc.date.accessioned | 2007-05-17T19:22:07Z | |
Available date | dc.date.available | 2007-05-17T19:22:07Z | |
Publication date | dc.date.issued | 2005-01 | |
Cita de ítem | dc.identifier.citation | ASYMPTOTIC ANALYSIS 41 (1): 71-91 JAN 2005 | en |
Identifier | dc.identifier.issn | 0921-7134 | |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/124583 | |
Abstract | dc.description.abstract | The classical problem of homogenization deals with elliptic operators in periodically oscillating media of small period epsilon>0 and the asymptotic behavior of solution u(epsilon) of boundary value problems associated with such operators. In a previous work [Conca et al., SIAM J. Math. Anal. 33 (2002), 1166-1198], the authors introduced what is called Bloch approximation which provided energy norm approximation for the solution in R-N . This paper continues with the above development and proposes a modified Bloch approximation. This function takes into account boundary effects. Its connection with the first order classical correctors is also established with the corresponding error estimate. All the proofs are worked out entirely in the Fourier-Bloch space. | en |
Lenguage | dc.language.iso | en | en |
Publisher | dc.publisher | IOS PRESS | en |
Keywords | dc.subject | homogenization | en |
Título | dc.title | Bloch approximation in homogenization on bounded domains | en |
Document type | dc.type | Artículo de revista |
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