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Efficient implementation of the localized orthogonal decomposition method
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, NA.ORCID iD: 0000-0002-6432-5504
2019 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 350, p. 123-153Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Elsevier B.V. , 2019. Vol. 350, p. 123-153
Keywords [en]
Efficient numerical solvers, Linear solvers, Localized orthogonal decomposition, Multiscale finite elements, Multiscale methods, Subscale correction methods, Computational fluid dynamics, Eigenvalues and eigenfunctions, Correction method, Linear solver, Multiscale finite element, Multiscale method, Numerical solvers, Orthogonal decomposition, Numerical methods
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-252460DOI: 10.1016/j.cma.2019.02.040ISI: 000468163500006Scopus ID: 2-s2.0-85063104970OAI: oai:DiVA.org:kth-252460DiVA, id: diva2:1337467
Note

QC 20190715

Available from: 2019-07-15 Created: 2019-07-15 Last updated: 2019-07-15Bibliographically approved

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Henning, Patrick

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