Volume 5, Issue 4
A Pre-processing Moving Mesh Method for Discontinuous Galerkin Approximations of Advection-diffusion-reaction Problems

P. F. Antonietti & P. Houston

DOI:

Int. J. Numer. Anal. Mod., 5 (2008), pp. 704-728

Published online: 2008-05

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  • Abstract

We propose a pre-processing mesh re-distribution algorithm based upon harmonic maps employed in conjunction with discontinuous Galerkin approximations of advection-diffusion-reaction problems. Extensive two-dimensional numerical experiments with different choices of monitor functions, including monitor functions derived from goal-oriented a posteriori error indicators are presented. The examples presented clearly demonstrate the capabilities and the benefits of combining our pre-processing mesh movement algorithm with both uniform, as well as, adaptive isotropic and anisotropic mesh refinement.

  • Keywords

discontinuous Galerkin methods advection-diffusion problems adaptivity

  • AMS Subject Headings

65N30

  • Copyright

COPYRIGHT: © Global Science Press

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