The discontinuous Galerkin method for fractional degenerate convection-diffusion equations

Details The discontinuous Galerkin method for fractional degenerate convection-diffusion equations The discontinuous Galerkin method for fractional degenerate convection-diffusion equations

2010-05-10

arxiv.org/abs/1005.1507v2

BIT Numer. Math. 51 (2011) 809-844

Mathematics

Numerical Analysis

Scientific paper

10.1007/s10543-011-0327-3

We propose and study discontinuous Galerkin methods for strongly degenerate convection-diffusion equations perturbed by a fractional diffusion (L\'evy) operator. We prove various stability estimates along with convergence results toward properly defined (entropy) solutions of linear and nonlinear equations. Finally, the qualitative behavior of solutions of such equations are illustrated through numerical experiments.

Affiliated with

Also associated with

No associations

Rating

The discontinuous Galerkin method for fractional degenerate convection-diffusion equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The discontinuous Galerkin method for fractional degenerate convection-diffusion equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The discontinuous Galerkin method for fractional degenerate convection-diffusion equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-627511