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Efficient implementation of the localized orthogonal decomposition method

Journal article
Authors Christian Engwer
Patrick Henning
Axel Målqvist
Daniel Peterseim
Published in Computer Methods in Applied Mechanics and Engineering
Volume 350
Pages 123-153
ISSN 00457825
Publication year 2019
Published at Department of Mathematical Sciences
Pages 123-153
Language en
Keywords Efficient numerical solvers, Linear solvers, Localized orthogonal decomposition, Multiscale finite elements, Multiscale methods, Subscale correction methods
Subject categories Mathematics


In this paper we present algorithms for an efficient implementation of the Localized Orthogonal Decomposition method (LOD). The LOD is a multiscale method for the numerical simulation of partial differential equations with a continuum of inseparable scales. We show how the method can be implemented in a fairly standard Finite Element framework and discuss its realization for different types of problems, such as linear elliptic problems with rough coefficients and linear eigenvalue problems.

Page Manager: Webmaster|Last update: 9/11/2012

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