Distributed finite element solution using model order reduction
Numerical Analysis
2025-04-01 v2 Numerical Analysis
Abstract
We extend a localized model order reduction method for the distributed finite element solution of elliptic boundary value problems in the cloud. We give a computationally efficient technique to compute the required inner product matrices and optimal reduced bases. A memory-efficient methodology is proposed to project the global finite element linear system onto the reduced basis. Our numerical results demonstrate the technique using non-trivial tetrahedral meshes and subdomain interfaces with up to 85 million degrees-of-freedom on a laptop computer by distributing the bulk of the model order reduction to the cloud.
Cite
@article{arxiv.2404.06260,
title = {Distributed finite element solution using model order reduction},
author = {Tom Gustafsson and Antti Hannukainen and Vili Kohonen},
journal= {arXiv preprint arXiv:2404.06260},
year = {2025}
}