Mathematical models for poroelastic flows
A Meirmanov - 2014 - Springer
This book is devoted to the rigorous mathematical modeling of physical processes in
underground continuous media, namely, the correct description of porous elastic solids with …
underground continuous media, namely, the correct description of porous elastic solids with …
Homogenization of a convection–diffusion model with reaction in a porous medium
G Allaire, AL Raphael - Comptes Rendus Mathematique, 2007 - Elsevier
We study the homogenization of a convection–diffusion equation with reaction in a porous
medium when both the Péclet and Damkohler numbers are large. We prove that, up to a …
medium when both the Péclet and Damkohler numbers are large. We prove that, up to a …
Non-periodic homogenization of 3-D elastic media for the seismic wave equation
Because seismic waves have a limited frequency spectrum, the velocity structure of the
Earth that can be extracted from seismic records has a limited resolution. As a consequence …
Earth that can be extracted from seismic records has a limited resolution. As a consequence …
A brief introduction to homogenization and miscellaneous applications
G Allaire - ESAIM: Proceedings, 2012 - esaim-proc.org
This paper is a set of lecture notes for a short introductory course on homogenization. It
covers the basic tools of periodic homogenization (two-scale asymptotic expansions, the …
covers the basic tools of periodic homogenization (two-scale asymptotic expansions, the …
Two-scale and three-scale asymptotic computations of the Neumann-type eigenvalue problems for hierarchically perforated materials
Q Ma, S Ye, J Cui, Z Yang, X Jiang, Z Li - Applied Mathematical Modelling, 2021 - Elsevier
A top-down strategy is proposed for analyzing the elliptic eigenvalue problems of the
hierarchically perforated materials with three-scale periodic configurations. The …
hierarchically perforated materials with three-scale periodic configurations. The …
[PDF][PDF] Compactness result for periodic structures and its application to the homogenization of a diffusion-convection equation
COMPACTNESS RESULT FOR PERIODIC STRUCTURES AND ITS APPLICATION TO THE
HOMOGENIZATION OF A DIFFUSION-CONVECTION EQUATION 1. Intro Page 1 Electronic …
HOMOGENIZATION OF A DIFFUSION-CONVECTION EQUATION 1. Intro Page 1 Electronic …
Homogenization of periodic systems with large potentials
We consider the homogenization of a system of second-order equations with a large
potential in a periodic medium. Denoting by ε the period, the potential is scaled as ε− 2 …
potential in a periodic medium. Denoting by ε the period, the potential is scaled as ε− 2 …
Uniform spectral asymptotics for singularly perturbed locally periodic operators
G Allaire, A Piatnitski - 2002 - Taylor & Francis
We consider the homogenization of the spectral problem for a singularly perturbed diffusion
equation in a periodic medium. Denoting by ε the period, the diffusion coefficients are scaled …
equation in a periodic medium. Denoting by ε the period, the diffusion coefficients are scaled …
A Scalable Two-Level Domain Decomposition Eigensolver for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains
Accelerating iterative eigenvalue algorithms is often achieved by employing a spectral
shifting strategy. Unfortunately, improved shifting typically leads to a smaller eigenvalue for …
shifting strategy. Unfortunately, improved shifting typically leads to a smaller eigenvalue for …
Homogenization of periodic non self-adjoint problems with large drift and potential
We consider the homogenization of both the parabolic and eigenvalue problems for a
singularly perturbed convection-diffusion equation in a periodic medium. All coefficients of …
singularly perturbed convection-diffusion equation in a periodic medium. All coefficients of …