An hr-adaptive discontinuous Galerkin method for advection-diffusion problems

Keywords

Advanced Numerical Methods for Scientific Computing
Code:
08/2009
Title:
An hr-adaptive discontinuous Galerkin method for advection-diffusion problems
Date:
Monday 16th March 2009
Author(s):
Antonietti, Paola F.; Houston, Paul
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Abstract:
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 efficiently reduce the computed discretization error by clustering the nodes in the computational mesh where the analytical solution undergoes rapid variation.