Approximations of Effective Coefficients in Stochastic Homogenization

[1]  J. Schwartz,et al.  Linear Operators. Part I: General Theory. , 1960 .

[2]  R. Hill Elastic properties of reinforced solids: some theoretical principles , 1963 .

[3]  J. Bear Dynamics of Fluids in Porous Media , 1975 .

[4]  P. Raats,et al.  Dynamics of Fluids in Porous Media , 1973 .

[5]  A. Bensoussan,et al.  Asymptotic analysis for periodic structures , 1979 .

[6]  N. Krylov Controlled Diffusion Processes , 1980 .

[7]  L. Modica,et al.  Nonlinear stochastic homogenization and ergodic theory. , 1986 .

[8]  L. Modica Stochastic homogenization and ergodic theory , 1986 .

[9]  V. V. Yurinskii Averaging of symmetric diffusion in random medium , 1986 .

[10]  A. Bourgeat,et al.  Elements de comparaison entre la methode d'homogeneisation et la methode de prise de moyenne avec fermeture , 1988 .

[11]  ON THE ERROR OF AVERAGING SYMMETRIC ELLIPTIC SYSTEMS , 1990 .

[12]  Louis J. Durlofsky,et al.  Representation of grid block permeability in coarse scale models of randomly heterogeneous porous media , 1992 .

[13]  K. Sab On the homogenization and the simulation of random materials , 1992 .

[14]  V. Zhikov,et al.  Homogenization of Differential Operators and Integral Functionals , 1994 .

[15]  Alain Bourgeat,et al.  Stochastic two-scale convergence in the mean and applications. , 1994 .

[16]  A. Bourgeat,et al.  Effective equations of two-phase flow in random media , 1995 .

[17]  U. Hornung Homogenization and porous media , 1996 .

[18]  P. Renard,et al.  Calculating equivalent permeability: a review , 1997 .

[19]  Modeling and Computation in Environmental Sciences , 1997 .

[20]  P. Bassanini,et al.  Elliptic Partial Differential Equations of Second Order , 1997 .

[21]  Houman Owhadi,et al.  Approximation of the effective conductivity of ergodic media by periodization , 2002 .

[22]  HU Qing-lin Application of Mathematics , 2004 .