A result on the decay of the boundary layers in the homogenization theory

Asymptotic Analysis

Volumn 23, Issue 3-4, 2000, Pages 313-328

  Neuss Radu, Maria ^a  

^a UNIVERSITY OF HEIDELBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040305966     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. G. Allaire and M. Amar, Boundary layer tails in periodic homogenization, ESAIM: Control Optim. Calc. Var. 4 (1999), 209-243.
2. I. Babuska, Solution of interface problems by homogenization I, SIAM J. Math. Anal. 7 (1976), 603-634.
3. I. Babuska, Solution of interface problems by homogenization II, SIAM J. Math. Anal. 7 (1976), 635-645.
4. N. Bakhvalov and G. Panasenko, Homogenization: Averaging Processes in Periodic Media, Kluwer, Dordrecht, 1989.
5. A. Bensoussan, J.L. Lions and G. Papanicolaou, Asymptotic Analysis for Periodic Structures, North-Holland, 1978.
6. A. Bensoussan, J.L. Lions and G. Papanicolaou, Boundary layer analysis in homogenization of diffusion equations with Dirichlet conditions on the half space, in: Proc. of Intern. Symp. SDE Kyoto, 1976, pp. 21-40.
7. F. Blanc and S.A. Nazarov, Asymptotics of solutions to the Poisson problem in a perforated domain with corners, J. Math. Pures Appl. 76 (1997), 893-911.
8. H. Dumontet, Study of a boundary layer problem in elastic composite materials, Mathematical Modelling and Numerical Analysis 20 (1986), 265-286.
9. D. Gilbarg and N.S. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer-Verlag, Berlin, 1983.
10. W. Jäger and A. Mikelic, On the boundary conditions at the contact interface between a porous medium and a free fluid, Ann. Sc. Norm. Sup. Pisa, Serie IV, XXIII (1996), 404-465.
11. V.V. Jikov, S.M. Kozlov and O.A. Oleinik, Homogenization of Differential Operators and Integral Functionals, Springer-Verlag, Berlin, 1994.
12. J.L. Lions, Some Methods in Mathematical Analysis of Systems and their Control, Gordon and Breach, New York, 1981.
13. S. Moskow and M. Vogelius, First-order corrections to the homogenised eigenvalues of a periodic composite medium. A convergence proof, Proc. Roy Soc. Edinburgh Sect. A 127(6) (1997), 1263-1299.
14. N. Neuss, W. Jäger and G. Wittum, Homogenization and multigrid, Preprint 1998-04, SFB 359, University of Heidelberg.
15. O.A. Oleinik, A.S. Shamaev and G.A. Yosifian, Mathematical Problems in Elasticity and Homogenization, Stud. Math. Appl., Vol. 26, North-Holland, 1992.
16. J. Sanchez-Huber and E. Sanchez-Palencia, Exercices sur les Méthodes Asymptotiques et l'Homogénéisation, Masson, Paris, 1993.
17. E. Sanchez-Palencia, Non-Homogenous Media and Vibration Theory, Lecture Notes in Physics, Vol. 127, Springer-Verlag, Berlin, 1980.