Developments in Overlapping Schwarz Preconditioning of High-Order Nodal Discontinuous Galerkin Discretizations

Luke N. Olson, Jan S. Hesthaven, Lucas C. Wilcox

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Recent progress has been made to more robustly handle the increased complexity of high-order schemes by focusing on the local nature of the discretization. This locality is particularly true for many Discontinuous Galerkin formulations and is the focus of this paper. The contributions of this paper are twofold. First, novel observations regarding various flux representations in the discontinuous Galerkin formulation are highlighted in the context of overlapping Schwarz methods. Second, we conduct additional experiments using high-order elements for the indefinite Helmholtz equation to expose the impact of overlap.

Original languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Science and Engineering XVI
PublisherSpringer
Pages325-332
Number of pages8
ISBN (Print)9783540344681
DOIs
StatePublished - 2007
Externally publishedYes

Publication series

NameLecture Notes in Computational Science and Engineering
Volume55
ISSN (Print)1439-7358

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

Fingerprint

Dive into the research topics of 'Developments in Overlapping Schwarz Preconditioning of High-Order Nodal Discontinuous Galerkin Discretizations'. Together they form a unique fingerprint.

Cite this