Robust smoothers for high-order discontinuous Galerkin discretizations of advection-diffusion problems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:218

Article; Proceedings Paper

Kanschat, Guido

关键词: multigrid;    discontinuous Galerkin;    finite elements;    advection;    high order;   

DOI  :  10.1016/j.cam.2007.04.032

来源: Elsevier

【 摘 要 】

The multigrid method for discontinuous Galerkin (DG) discretizations of advection-diffusion problems is presented. It is based on a block Gauss-Seidel smoother with downwind ordering honoring the advection operator. The cell matrices of the DG scheme are inverted in this smoother in order to obtain robustness for higher order elements. Employing a set of experiments, we show that this technique actually yields an efficient preconditioner and that both ingredients, downwind ordering and blocking of cell matrices are crucial for robustness. (C) 2007 Elsevier B.V. All rights reserved.

【 授权许可】

Free