An adaptive gdsw coarse space for two-level overlapping schwarz methods in two dimensions

Alexander Heinlein, Axel Klawonn, Jascha Knepper, Oliver Rheinbach

Research output: Chapter in Book/Conference proceedings/Edited volumeChapterScientificpeer-review

10 Citations (Scopus)

Abstract

We propose robust coarse spaces for two-level overlapping Schwarz preconditioners, which are extensions of the energy minimizing coarse space known as GDSW (Generalized Dryja, Smith, Widlund). The resulting two-level methods with adaptive coarse spaces are robust for second order elliptic problems in two dimensions, even in presence of a highly heterogeneous coefficient function, and reduce to the standard GDSW algorithm if no additional coarse basis functions are used.

Original languageEnglish
Title of host publicationLecture Notes in Computational Science and Engineering
PublisherSpringer-Verlag London Ltd
Pages373-382
Number of pages10
DOIs
Publication statusPublished - 2018
Externally publishedYes

Publication series

NameLecture Notes in Computational Science and Engineering
Volume125
ISSN (Print)1439-7358

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