An anisotropic recovery-based error estimator for adaptive discontinuous Galerkin methods

Keywords

Code:
13/2021
Title:
An anisotropic recovery-based error estimator for adaptive discontinuous Galerkin methods
Date:
Wednesday 10th March 2021
Author(s):
Ferro, N.; Perotto, S.; Cangiani, A.
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Abstract:
We present a new recovery-based anisotropic error estimator for discontinuous Galerkin finite element approximations of advection-diffusion problems. We propose a metric-based algorithm for mesh adaptation which is driven by this error estimator. Numerical verification on several test cases, both in the steady and in the unsteady setting, shows the effectiveness of the algorithm in capturing the intrinsic directionalities of the solution.