A Multilevel Preconditioner for the Interior Penalty Discontinuous Galerkin Method

DOI10.1137/07069691XzbMath1176.65029OpenAlexW2116640176MaRDI QIDQ3642900

Wolfgang Dahmen, Kolja Brix, Martin Campos Pinto

Publication date: 6 November 2009

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/07069691x

zbMATH Keywords

numerical examplestriangulationsframesdiscontinuous Galerkin methodscondition numbersinterior penalty methodsecond order elliptic boundary value problemsmultilevel Schwarz preconditionersadmissible averaging operatorsenergy-stable splittings

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Preconditioners for iterative methods (65F08)

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