Finite volume approximation of the effective diffusion matrix: The case of independent bond disorder

DOI10.1016/S0246-0203(02)00016-XzbMath1014.60094arXivmath/0110215OpenAlexW3100788662MaRDI QIDQ1874510

Dimitry Ioffe, Pietro Caputo

Publication date: 25 May 2003

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0110215

zbMATH Keywords

effective diffusion coefficientcorrector fieldbond disorder

Mathematics Subject Classification ID

Bounds on effective properties in solid mechanics (74Q20) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37)

Related Items (12)

Noise-stability and central limit theorems for effective resistance of random electric networks ⋮ Spectral measure and approximation of homogenized coefficients ⋮ An optimal error estimate in stochastic homogenization of discrete elliptic equations ⋮ Variance decay for functionals of the environment viewed by the particle ⋮ Recent progress on the random conductance model ⋮ Moment bounds on the corrector of stochastic homogenization of non-symmetric elliptic finite difference equations ⋮ First-order expansion of homogenized coefficients under Bernoulli perturbations ⋮ A finite dimensional approximation of the effective diffusivity for a symmetric random walk in a random environment ⋮ A central limit theorem for the effective conductance: linear boundary data and small ellipticity contrasts ⋮ Disconnection and entropic repulsion for the harmonic crystal with random conductances ⋮ Homogenization of a Random Walk on a Graph in $\mathbb R^d$: An Approach to Predict Macroscale Diffusivity in Media with Finescale Obstructions and Interactions ⋮ Tail estimates for homogenization theorems in random media

This page was built for publication: Finite volume approximation of the effective diffusion matrix: The case of independent bond disorder