Multilevel preconditioners for the interior penalty discontinuous Galerkin method II- Quantitative studies

Kolja Brix; Martin Campos Pinto; Wolfgang Dahmen; Ralf Massjung

hal-00320004, version 1

Multilevel preconditioners for the interior penalty discontinuous Galerkin method II- Quantitative studies

Kolja Brix ¹, Martin Campos Pinto () ^1, 2, Wolfgang Dahmen ¹, Ralf Massjung ¹

Communications in Computational Physics 5, 2-4 (2008) 296-325

Résumé : This paper is concerned with preconditioners for interior penalty discontinuous Galerkin discretizations of second order elliptic boundary value problems. We extend earlier related results in [7] in the following sense. Several concrete realizations of splitting the nonconforming trial spaces into a conforming and (remaining) nonconforming part are identified and shown to give rise to uniformly bounded condition numbers. These asymptotic results are complemented by numerical tests that shed some light on their respective quantitative behavior.

1 : Institut für Geometrie und Praktische Mathematik [RWTH Aachen] (IGPM)
Rheinisch-Westfälische Technische Hochschule Aachen
2 : Institut de Recherche Mathématique Avancée (IRMA)
CNRS : UMR7501 – Université Louis Pasteur - Strasbourg I

hal-00320004, version 1
http://hal.archives-ouvertes.fr/hal-00320004
oai:hal.archives-ouvertes.fr:hal-00320004
Contributeur : Martin Campos Pinto <>
Soumis le : Mercredi 10 Septembre 2008, 00:29:17
Dernière modification le : Jeudi 2 Octobre 2008, 17:59:25

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