Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Improving Discontinuous Galerkin Solutions

  title={Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Improving Discontinuous Galerkin Solutions},
  author={Paulien van Slingerland and Jennifer K. Ryan and Cornelis Vuik},
  journal={SIAM J. Scientific Computing},
Position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering is a promising technique not only in improving the order of the numerical solution obtained by a discontinuous Galerkin (DG) method but also in increasing the smoothness of the field and improving the magnitude of the errors. This was initially established as an accuracy enhancement technique by Cockburn et al. for linear hyperbolic equations to handle smooth solutions [Math. Comp., 72 (2003), pp. 577–606]. By… CONTINUE READING


Publications citing this paper.
Showing 1-10 of 16 extracted citations

Nonuniform Discontinuous Galerkin Filters via Shift and Scale

SIAM J. Numerical Analysis • 2016
View 10 Excerpts
Highly Influenced

General spline filters for discontinuous Galerkin solutions

Computers & Mathematics with Applications • 2015


Publications referenced by this paper.
Showing 1-10 of 21 references

On a one-sided post-processing technique for the discontinuous Galerkin methods

J. K. Ryan, C.-W. Shu
Methods Appl. Anal., • 2003
View 6 Excerpts
Highly Influenced

Smoothness-Increasing Accuracy-Conserving Spline Filters Applied to Streamline Visualisation of DG Approximations, Tech. report 09-06

P. van Slingerland, J. K. Ryan, C. Vuik
View 2 Excerpts

Investigation of smoothness enhancing accuracy-conserving filters for improving streamline integration through discontinuous fields

M. Steffen, S. Curtis, R. M. Kirby, J. K. Ryan
IEEE Trans. Visualization and Computer Graphics, • 2007
View 2 Excerpts

Similar Papers

Loading similar papers…