Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains.
type: Item
instance of: scholarly article
title: Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains.
zbMATH Open document ID: 1038.65121
DOI: 10.1016/S0377-0427(03)00372-8
author: Junzhi Cui
author: Liqun Cao
author: Jianlan Luo
published in: Journal of Computational and Applied Mathematics
publication date: 2003-08-25T00:00:00Z
review text: The authors consider the boundary value problem of a second-order elliptic type equation with highly oscillatory coefficients over general Lipschitz convex domains, and obtains a multiscale asymptotic expansion of the solutions for this kind of problem. At the same time, a high accuracy finite element computing scheme and a post-processing technique are presented. Finally, numerical results strongly support the theoretical analysis.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 1970726
zbMATH Keywords: second-order elliptic type equation
zbMATH Keywords: highly oscillatory coefficient
zbMATH Keywords: finite element method
zbMATH Keywords: multiscale asymptotic expansion
zbMATH Keywords: post-processing technique
zbMATH Keywords: numerical results
reviewed by: I. N. Katz
MaRDI profile type: Publication
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full work available at URL: s0377-0427(03)00372-8
OpenAlex ID: W2147323870
description: scientific article; zbMATH DE number 1970726