Efficient implementation of the Localized Orthogonal Decomposition method
Numerical Analysis
2019-02-21 v3
Abstract
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.
Cite
@article{arxiv.1602.01658,
title = {Efficient implementation of the Localized Orthogonal Decomposition method},
author = {Christian Engwer and Patrick Henning and Axel Målqvist and Daniel Peterseim},
journal= {arXiv preprint arXiv:1602.01658},
year = {2019}
}