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A Multilevel Preconditioner for the Weakly Over-Penalized Symmetric Interior Penalty Method for Second-Order Elliptic Problems

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2013年04期
Page:
22-
Research Field:
数学
Publishing date:

Info

Title:
A Multilevel Preconditioner for the Weakly Over-Penalized Symmetric Interior Penalty Method for Second-Order Elliptic Problems
Author(s):
Wang Feng; Shen Qiong
Jiangsu Key Laboratory for NSLSCS,School of Mathematical Sciences,Nanjing Normal University,Nanjing 210023,China
Keywords:
DG; multilevel preconditioners; interior penalty; weakly over-penalization
PACS:
O214.82
DOI:
-
Abstract:
This paper proposes a multilevel preconditioner for the weakly over-penalized symmetric interior penalty method for second-order elliptic problems.It is proved that the condition number of the preconditioned system is independent of the mesh size.Numerical experiments are presented to confirm our theoretical result.

References:

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Last Update: 2013-12-30