Corpus ID: 209515870

Manifold Approximations via Transported Subspaces: Model reduction for transport-dominated problems

@article{Rim2019ManifoldAV,
  title={Manifold Approximations via Transported Subspaces: Model reduction for transport-dominated problems},
  author={D. Rim and Benjamin Peherstorfer and K. Mandli},
  journal={ArXiv},
  year={2019},
  volume={abs/1912.13024}
}
This work presents a method for constructing online-efficient reduced models of large-scale systems governed by parametrized nonlinear scalar conservation laws. The solution manifolds induced by transport-dominated problems such as hyperbolic conservation laws typically exhibit nonlinear structures, which means that traditional model reduction methods based on linear approximations are inefficient when applied to these problems. In contrast, the approach introduced in this work derives reduced… Expand
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