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Pressure robust SUPG-stabilized finite elements for the unsteady Navier-Stokes equation

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arxiv 2302.13952 v2 pith:PV26WUCP submitted 2023-02-27 math.NA cs.NA

L. Beirão da Veiga , F. Dassi , G. Vacca This is my paper · ORCID
classification math.NAcs.NA
keywords pressureelementequationfinitenavier-stokesrobustaccordanceapproximation
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In the present contribution we propose a novel conforming Finite Element scheme for the time-dependent Navier-Stokes equation, which is proven to be both convection quasi-robust and pressure robust. The method is built combining a "divergence-free" velocity/pressure couple (such as the Scott-Vogelius element), a Discontinuous Galerkin in time approximation, and a suitable SUPG-curl stabilization. A set of numerical tests, in accordance with the theoretical results, is included.

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Cited by 1 Pith paper

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  1. Low-Resource Neural Machine Translation Using Recurrent Neural Networks and Transfer Learning: A Case Study on English-to-Igbo

    cs.CL 2025-04 reject novelty 3.0 of 10

    Applying known RNN and transfer-learning methods to English-Igbo yields modest BLEU scores, but the claimed +4.83 BLEU improvement over baselines is inconsistent with the paper's own tables.

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