@article{M2AN_1988__22_1_53_0, author = {Damlamian, Alain and Vogelius, Michael}, title = {Homogenization limits of diffusion equations in thin domains}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {22}, year = {1988}, pages = {53-74}, mrnumber = {934701}, zbl = {0672.73009}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_1988__22_1_53_0} }
Damlamian, Alain; Vogelius, Michael. Homogenization limits of diffusion equations in thin domains. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 22 (1988) pp. 53-74. http://gdmltest.u-ga.fr/item/M2AN_1988__22_1_53_0/
[1] Homogénéisation des équations de la diffusion stationnaire dans les domaines cylindriques aplatis R A I R O Analyse Numérique, 15 (1981), pp 295-319 | Numdam | MR 642495 | Zbl 0483.35003
,[2] Thin elastic and periodic plates Math Methods Appl Sci , 6 (1984), pp 159-191 | MR 751739 | Zbl 0543.73073
,[3] Homogenization limits of the equations of elasticity in thin domains SIAM J Math Anal , 18 (2) (1987), pp 435-451 | MR 876283 | Zbl 0614.73012
, ,[4] Quelques problèmes de -convergence, in proceedings of the Conference Computing Methods in Applied Sciences and Engineering, Versailles 1979 (R Glowinski and J L Lions eds ), North Holland, 1980, pp 637-643 | MR 584059 | Zbl 0445.49018
,[5] On bounding the effective conductivity of anisotropic composites, in Homogenization and Effective Moduli of Materials and Media (J R Ericksen, D Kinderlehrer, R Kohn, J L Lions eds ) IMA Volumes in Math Appls, 1, Springer, 1986, pp 97-125 | MR 859413 | Zbl 0631.73012
- ,[6] A new model for thin plates with rapidly varying thickness II a convergence proof Quart Appl Math , 43 (1985) pp 1-22 | MR 782253 | Zbl 0565.73046
, ,[7] Exact estimates of the conductivity of composites formed by two isotropically conducting media taken in prescribed proportions Proc Royal Soc Edinburgh, 99A (1984), pp 71-87 | MR 781086 | Zbl 0564.73079
, ,[8] H-convergence, Séminaire d'Analyse Fonctionnelle et Numérique 1977/1978 Département de Mathématiques, Université d'Alger
,[9] Homogenization and optimal bounds in linear elasticity Arch Rat Mech Anal , 94 (1986), pp 307-334 | MR 846892 | Zbl 0604.73013
, ,[10] Cours Peccot, Collège de France, Paris, 1977
,[11] Estimations fines des coefficients homogénéises, in Ennio De Giorgi's Colloquium (P Kree ed), Pitman Research Notes in Math, Pitman, 1985 | MR 909716 | Zbl 0586.35004
,