Numerical upscaling of discrete network models
Journal article, 2020

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.

Multiscale method

Network model


Discrete network


Gustav Kettil

Fraunhofer-Chalmers Centre

Axel Målqvist

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

Andreas Mark

Fraunhofer-Chalmers Centre

Mats Fredlund

Stora Enso AB

Kenneth Wester

Albany International

Fredrik Edelvik

Fraunhofer-Chalmers Centre

BIT (Copenhagen)

0006-3835 (ISSN) 15729125 (eISSN)

Vol. 60 1 67-92

Subject Categories


Computational Mathematics

Control Engineering



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