Precised approximations in elliptic homogenization beyond the periodic setting

Author:

Blanc X.1,Josien M.2,Le Bris C.2

Affiliation:

1. Université Paris-Diderot, Sorbonne Paris-Cité, Sorbonne Université, CNRS, Laboratoire Jacques-Louis Lions, F-75013 Paris, France. E-mail: blanc@ann.jussieu.fr

2. Ecole des Ponts and INRIA, 6 & 8, avenue Blaise Pascal, 77455 Marne-La-Vallée Cedex 2, France. E-mails: claude.le-bris@enpc.fr, marc.josien@enpc.fr

Publisher

IOS Press

Subject

General Mathematics

Reference30 articles.

1. Compactness methods in the theory of homogenization;Avellaneda;Comm. Pure Appl. Math.,1987

2. Homogenization of elliptic problems with L p boundary data;Avellaneda;Appl. Math. Optim.,1987

3. Compactness methods in the theory of homogenization. II. Equations in nondivergence form;Avellaneda;Comm. Pure Appl. Math.,1989

4. Un théorème de Liouville pour des équations elliptiques à coefficients périodiques;Avellaneda;C. R. Acad. Sci. Paris Sér. I Math.,1989

5. P. Bella, A. Giunti and F. Otto, Quantitative stochastic homogenization: Local control of homogenization error through corrector, in: Mathematics and Materials, IAS/Park City Math. Ser., Vol. 23, Amer. Math. Soc., Providence, RI, 2017, pp. 301–327.

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