arXiv (Cornell University)
Multiscale modeling of linear elastic heterogeneous structures via localized model order reduction
January 2022 • Philipp Diercks, Karen Veroy, Annika Robens‐Radermacher, Jörg F. Unger
In this paper, a methodology for fine scale modeling of large scale structures is proposed, which combines the variational multiscale method, domain decomposition and model order reduction. The influence of the fine scale on the coarse scale is modelled by the use of an additive split of the displacement field, addressing applications without a clear scale separation. Local reduced spaces are constructed by solving an oversampling problem with random boundary conditions. Herein, we inform the boundary conditions b…