Paper Info
Title
LOCAL FOURIER ANALYSIS OF MULTIGRID FOR HYBRIDIZED AND EMBEDDED DISCONTINUOUS GALERKIN METHODS
Abstract
In this paper we present a geometric multigrid method with Jacobi and Vanka relaxation for hybridized and embedded discontinuous Galerkin discretizations of the Laplacian. We present a local Fourier analysis (LFA) of the two-grid error-propagation operator and show that the multigrid method applied to an embedded discontinuous Galerkin (EDG) discretization is almost as efficient as when applied to a continuous Galerkin discretization. We furthermore show that multigrid applied to an EDG discretization outperforms multigrid applied to a hybridized discontinuous Galerkin discretization. Numerical examples verify our LFA predictions.
Year
DOI
Venue
2021
10.1137/20M1346985
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Keywords
DocType
Volume
preconditioning, embedded and hybridized discontinuous Galerkin methods, geometric multigrid, local Fourier analysis
Journal
43
Issue
ISSN
Citations 
5
1064-8275
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Yunhui He102.03
Sander Rhebergen201.01
Hans De Sterck320426.14