Multilevel Preconditioners for the Interior Penalty Discontinuous Galerkin Method II - Quantitative Studies

被引：0
|
作者：
Brix, Kolja [1 ]
Pinto, Martin Campos [2 ]
Dahmen, Wolfgang [1 ]
Massjung, Ralf [1 ]
机构：
[1] Rhein Westfal TH Aachen, Inst Geometrie & Prakt Math, D-52056 Aachen, Germany
[2] Univ Strasbourg, CNRS, UMR 7501, Inst Rech Math Avancee, F-67084 Strasbourg, France
来源：
COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2009年 / 5卷 / 2-4期
关键词：
Interior penalty method; energy-stable splittings; admissible averaging operators; frames; multilevel Schwarz preconditioners; discontinuous Galerkin methods; APPROXIMATIONS; DECOMPOSITION;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页码：296 / 325
页数：30
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