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arXiv · 2404.06260

Distributed finite element solution using model order reduction

Tom Gustafsson·Antti Hannukainen·Vili Kohonen
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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.

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Tom Gustafsson, Antti Hannukainen, Vili Kohonen. 2025-03-31. Distributed finite element solution using model order reduction. https://arxiv.org/abs/2404.06260

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