Multiscale finite element for problems with highly oscillatory coefficients
type: Item
instance of: scholarly article
title: Multiscale finite element for problems with highly oscillatory coefficients
zbMATH Open document ID: 0997.65129
author: Y. Efendiev
author: Xiao-Hui Wu
published in: Numerische Mathematik
publication date: 2002-05-21T00:00:00Z
review text: The authors study a multiscale finite element method for solving a class of elliptic problems with finite number of well separated scales. The method is designed to efficiently capture the large scale behavior of the solution without resolving all small scale features. This is accomplished by constructing the multiscale finite base functions that are adaptive to the local property of the differential operator. The construction of the base functions is fully decoupled from element to element, thus the method is perfectly parallel and is naturally adapted to massively parallel computers. Main results: The authors present the convergence analysis of the method along with the results of given numerical experiments. Moreover, some generalization of the multiscale finite element method are proposed.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 1742784
zbMATH Keywords: oscillatory coefficients
zbMATH Keywords: error estimates
zbMATH Keywords: multiscale finite element method
zbMATH Keywords: elliptic problems
zbMATH Keywords: convergence
zbMATH Keywords: numerical experiments
reviewed by: Jan Lovíšek
MaRDI profile type: Publication
full work available at URL: s002110100274
OpenAlex ID: W2072853909
DOI: 10.1007/S002110100274
description: scientific article; zbMATH DE number 1742784