An Hr-Adaptive Discontinuous Galerkin Method for Advection-Diffusion Problems

Paola Francesca Antonietti, Paul Houston


We propose an adaptive mesh refinement strategy based on exploiting a combination of a pre-processing mesh re-distribution algorithm employing a harmonic mapping technique, and standard (isotropic) mesh subdivision for discontinuous Galerkin approximations of advection-diffusion problems. Numerical experiments indicate that the resulting adaptive strategy can effciently reduce the computed discretization error by clustering the nodes in the computational mesh where the analytical solution undergoes rapid variation.

[DOI: 10.1685/CSC09244] About DOI


Discontinuous Galerkin methods, advection-diffusion problems, moving mesh methods

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