Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Model order reduction strategies for weakly dispersive waves   We focus on the numerical modelling of water waves by means of depth averaged
models. We consider in particular PDE systems which consist in a nonlinear
hyperbolic model plus a linear dispersive perturbation involving an elliptic
operator. We propose two strategies to construct reduced order models for these
problems, with the main focus being the control of the overhead related to the
inversion of the elliptic operators, as well as the robustness with respect to
variations of the flow parameters. In a first approach, only a linear reduction
strategies is applied only to the elliptic component, while the computations of
the nonlinear fluxes are still performed explicitly. This hybrid approach,
referred to as pdROM, is compared to a hyper-reduction strategy based on the
empirical interpolation method to reduce also the nonlinear fluxes. We evaluate
the two approaches on a variety of benchmarks involving a generalized variant
of the BBM-KdV model with a variable bottom, and a one-dimensional enhanced
weakly dispersive shallow water system. The results show the potential of both
approaches in terms of cost reduction, with a clear advantage for the pdROM in
terms of robustness, and for the EIMROM in terms of cost reduction.

12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc