Two‐level multigrid analysis for the convection–diffusion equation discretized by a discontinuous Galerkin method

DOI10.1002/nla.441zbMath1164.65451OpenAlexW2116982324MaRDI QIDQ3599989

P. W. Hemker, M. H. van Raalte

Publication date: 9 February 2009

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/11452

zbMATH Keywords

singular perturbationdiscontinuous Galerkin methodmultigrid iterationerror reductioninterior penalty methodGauss-Seidel smoothingblock-Jacobi smootherlinear one-dimensional convection-diffusion equationpoint-wise block-relaxation

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

Related Items (10)

Theoretical and practical aspects of space-time DG-SEM implementations ⋮ Algebraic Multigrid Schemes for High-Order Nodal Discontinuous Galerkin Methods ⋮ Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes ⋮ \(hp\)-Multigrid as Smoother algorithm for higher order discontinuous Galerkin discretizations of advection dominated flows. I: Multilevel analysis ⋮ \(h\)-multigrid for space-time discontinuous Galerkin discretizations of the compressible Navier-Stokes equations ⋮ Multigrid methods for the symmetric interior penalty method on graded meshes ⋮ A multigrid conjugate gradient method ⋮ Local Fourier Analysis of Multigrid for Hybridized and Embedded Discontinuous Galerkin Methods ⋮ On an Adaptive Semirefinement Multigrid Algorithm for Convection-Diffusion Problems ⋮ Multigrid Algorithms for $hp$-Discontinuous Galerkin Discretizations of Elliptic Problems

Cites Work

• A note on defect correction processes with an approximate inverse of deficient rank
• Fourier two-level analysis for higher dimensional discontinuous Galerkin discretisation
• Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
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