Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients
type: Item
instance of: scholarly article
title: Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients
zbMATH Open document ID: 1145.65067
author: Walter Allegretto
author: Liqun Cao
author: Yanping Lin
published in: Discrete and Continuous Dynamical Systems
publication date: 2008-06-18T00:00:00Z
review text: The paper is concerned with the study of the multiscale analysis of linear parabolic equations with rapidly oscillating coefficients which depend on spatial and temporal variables. The authors present the determination of the convergence rate for the approximate solutions by using a suitable cut-off function, the definition of boundary layer solutions, and higher-order correctors. Regularity estimates for the boundary layer solutions and numerical approximations techniques are presented.
reviewed by: Nicolae Pop
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35B50
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 5290021
zbMATH Keywords: homogenization
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: rapidly oscillating coefficients
zbMATH Keywords: boundary layer
zbMATH Keywords: finite element method
zbMATH Keywords: multiscale analysis
zbMATH Keywords: linear parabolic equations
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5290021