A Review of Residual Distribution Schemes for Hyperbolic and Parabolic Problems : The July 2010 State of the Art

@inproceedings{Abgrall2011ARO,
  title={A Review of Residual Distribution Schemes for Hyperbolic and Parabolic Problems : The July 2010 State of the Art},
  author={R{\'e}mi Abgrall},
  year={2011}
}
We describe and review non oscillatory residual distribution schemes that are rather natural extension of high order finite volume schemes when a special emphasis is put on the structure of the computational stencil. We provide their connections with standard stabilized finite element and discontinuous Galerkin schemes, show that their are really non oscillatory. We also discuss the extension to these methods to parabolic problems. We also draw some research perspectives. AMS subject… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 40 references

Residual distribution schemes: current status and future trends

  • R. Abgrall
  • Comput. Fluids, 35(7):641–669
  • 2006
Highly Influential
3 Excerpts

Improving the time accuracy of residual distribution schemes

  • J. Maerz, G. Degrez
  • Technical Report VKI-PR 96-17, von Karman…
  • 1996
Highly Influential
2 Excerpts

Discontinuous upwind residual distribution: A route to unconditional positivity and high order accuracy

  • M. Hubabrd, M. Ricchiuto
  • Comput. Fluids, 46(1):263–269
  • 2011
2 Excerpts

A residual distribution method using discontinuous elements for the computation of possibly non smooth flows

  • R. Abgrall
  • Adv. Appl. Math. Mech., 2(1):32–44
  • 2010
1 Excerpt

An example of high order residual distribution scheme using non-Lagrange elements

  • R. Abgrall, J. Treflick
  • J. Sci. Comput., 45:3–25
  • 2010
1 Excerpt

Approximation of the ideal mhd equations using residual distribution methods

  • R. Abgrall, R. Huart, M. Ricchiuto
  • PREPARATION
  • 2010
1 Excerpt

Similar Papers

Loading similar papers…