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

DOI10.1016/j.cam.2007.04.032zbMath1143.65097OpenAlexW2160635789MaRDI QIDQ930696

Guido Kanschat

Publication date: 1 July 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.04.032

zbMATH Keywords

finite elementsnumerical examplesmultigriddiscontinuous Galerkin

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

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Uses Software

• deal.ii

Cites Work

• Unnamed Item
• Downwind numbering: Robust multigrid for convection-diffusion problems
• A multilevel discontinuous Galerkin method
• deal.II—A general-purpose object-oriented finite element library
• Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Downwind Gauß-Seidel Smoothing for Convection Dominated Problems
• Two-Level Additive Schwarz Methods for a Discontinuous Galerkin Approximation of Second Order Elliptic Problems
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation

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