An Anisotropic Recovery-Based Error Estimator for Adaptive Discontinuous Galerkin Methods

被引：0
|
作者：
Nicola Ferro
Simona Perotto
Andrea Cangiani
机构：
[1] MOX – Dipartimento di Matematica Politecnico di Milano,
[2] Scuola Internazionale Superiore di Studi Avanzati - SISSA,undefined
来源：
Journal of Scientific Computing | 2022年 / 90卷
关键词：
Discontinuous Galerkin method; Interior Penalty; Anisotropic mesh; Mesh adaptation; Recovery-based error estimator; Finite elements;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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