Bloch approximation in homogenization on bounded domains

Asymptotic Analysis

Volumn 41, Issue 1, 2005, Pages 71-91

  Conca, C ^a   Orive, R ^b   Vanninathan, M ^c  

^a DEPARTAMENTO DE FÍSICA   (Chile)

^b UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

^c TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

Author keywords

Bloch waves; Correctors; Homogenization

Indexed keywords

BOUNDARY CONDITIONS; ERROR CORRECTION; MATHEMATICAL OPERATORS; PHASE SPACE METHODS;

BLOCH WAVES; CORRECTORS; HOMOGENIZATION;

APPROXIMATION THEORY;

EID: 23744499919     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. A. Bensoussan, J.L. Lions and G. Papanicolaou, Asymptotic Analysis for Periodic Structures, North-Holland, Amsterdam, 1978.
2. H. Brezis, Analyse Fonctionnelle, Théorie et Applications, Collection Mathématiques Appliquées pour la Maîtrise, Masson, Paris, 1983.
3. C. Conca and S. Natesan, Numerical methods for elliptic partial differential equations with rapidly oscillating coefficients, Comput. Methods Appl. Mech. Engrg. 192 (2003), 47-76.
4. C. Conca, S. Natesan and M. Vanninathan, Numerical solution of elliptic partial differential equations by Bloch waves method, in: XVII CEDYA: Congress on Differential Equations and Applications/VII CMA: Congress on Applied Mathematics, Dep. Mat. Apl., Univ. Salamanca, Salamanca, 2001, pp. 63-83.
5. C. Conca, R. Orive and M. Vanninathan, Bloch approximation in homogenization and applications, SIAM J. Math. Anal. 33 (2002), 1166-1198.
6. C. Conca, J. Planchard and M. Vanninathan, Fluids and Periodic Structures, Research in Applied Mathematics, Vol. 38, Wiley/Masson, New York/Paris, 1995.
7. C. Conca and M. Vanninathan, Homogenization of periodic structures via Bloch decomposition, SIAM J. Appl. Math. 57 (1997), 1639-1659.
8. D. Gilberg and N.S. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer, Berlin, 1977.
9. F. Santosa and W.W. Symes, A dispersive effective medium for wave propagation in periodic composites, SIAM J. Appl. Math. 51 (1991), 984-1005.