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Numerical upscaling of discrete network models

2019/07/02 by G. Kettil, Gustav Kettil, Axel Målqvist +9 · 1 citation
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Composite Material Mechanics

paper · pdf · doi:10.1007/s10543-019-00767-2

crossref issued 2019/07/02 · crossref published 2019/07/02 · crossref published-online 2019/07/02 · openalex publication_date 2019/07/02 · crossref created 2019/07/02 · crossref published-print 2020/03/01 · crossref deposited 2020/07/01 · openalex created_date 2025/10/10 · crossref indexed 2026/07/29 · openalex updated_date 2026/07/31

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.

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