A Multilevel Preconditioner for the Interior Penalty Discontinuous Galerkin Method

Abstract : In this article we present a multilevel preconditioner for interior penalty discontinuous Galerkin discretizations of second order elliptic boundary value problems that gives rise to uniformly bounded condition numbers without any additional regularity assumptions on the solution. The underlying triangulations are assumed only to be shape regular but may have hanging nodes subject to certain mild grading conditions. A key role is played by certain decompositions of the discontinuous trial space into a conforming subspace and a nonconforming subspace that is controlled by the jumps across the edges.
Document type :
Journal articles
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-00320001
Contributor : Martin Campos Pinto <>
Submitted on : Wednesday, September 10, 2008 - 12:09:01 AM
Last modification on : Thursday, January 11, 2018 - 6:12:22 AM

Links full text

Identifiers

Collections

Citation

Martin Campos Pinto, Wolfgang Dahmen, Kolja Brix. A Multilevel Preconditioner for the Interior Penalty Discontinuous Galerkin Method. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2008, 46 (5), pp.2742-2768. ⟨10.1137/07069691X⟩. ⟨hal-00320001⟩

Share

Metrics

Record views

184