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Numerical upscaling of discrete network models

Journal article
Authors G. Kettil
Axel Målqvist
A. Mark
M. Fredlund
K. Wester
F. Edelvik
Published in BIT Numerical Mathematics
ISSN 0006-3835
Publication year 2019
Published at Department of Mathematical Sciences
Language en
Links dx.doi.org/10.1007/s10543-019-00767...
Keywords Discrete network, Multiscale method, Network model, Upscaling
Subject categories Numerical analysis

Abstract

In this paper a numerical multiscale method for discrete networks is presented. The method gives an accurate coarse scale representation of the full network by solving sub-network problems. The method is used to solve problems with highly varying connectivity or random network structure, showing optimal order convergence rates with respect to the mesh size of the coarse representation. Moreover, a network model for paper-based materials is presented. The numerical multiscale method is applied to solve problems governed by the presented network model. © 2019, The Author(s).

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