Efficient implementation of the localized orthogonal decomposition method
Journal article, 2019

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.

Localized orthogonal decomposition

Multiscale methods

Subscale correction methods

Efficient numerical solvers

Linear solvers

Multiscale finite elements


Christian Engwer

University of Münster

P. Henning

Royal Institute of Technology (KTH)

Axel Målqvist

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

Daniel Peterseim

University of Augsburg

Computer Methods in Applied Mechanics and Engineering

0045-7825 (ISSN)

Vol. 350 123-153

Subject Categories

Computational Mathematics

Control Engineering

Mathematical Analysis



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Latest update

4/8/2019 1