Stabilized reduced basis methods for parametrized steady Stokes and Navier-Stokes equations

@article{Ali2020StabilizedRB,
  title={Stabilized reduced basis methods for parametrized steady Stokes and Navier-Stokes equations},
  author={Shafqat Ali and Francesco Ballarin and Gianluigi Rozza},
  journal={ArXiv},
  year={2020},
  volume={abs/2001.00820}
}
  • Shafqat Ali, Francesco Ballarin, Gianluigi Rozza
  • Published in ArXiv 2020
  • Mathematics, Computer Science
  • It is well known in the Reduced Basis approximation of saddle point problems that the Galerkin projection on the reduced space does not guarantee the inf-sup approximation stability even if a stable high fidelity method was used to generate snapshots. For problems in computational fluid dynamics, the lack of inf-sup stability is reflected by the inability to accurately approximate the pressure field. In this context, inf-sup stability is usually recovered through the enrichment of the velocity… CONTINUE READING

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 62 REFERENCES