A hyper-reduced MAC scheme for the parametric Stokes and Navier-Stokes equations

@article{Chen2021AHM,
  title={A hyper-reduced MAC scheme for the parametric Stokes and Navier-Stokes equations},
  author={Yanlai Chen and Lijie Ji and Zhu Wang},
  journal={ArXiv},
  year={2021},
  volume={abs/2110.11179}
}
The need for accelerating the repeated solving of certain parametrized systems motivates the development of more efficient reduced order methods. The classical reduced basis method is popular due to an offline-online decomposition and a mathematically rigorous a posterior error estimator which guides a greedy algorithm offline. For nonlinear and nonaffine problems, hyper reduction techniques have been introduced to make this decomposition efficient. However, they may be tricky to implement and… 

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