Auxiliary Space Preconditioners for a DG Discretization of H(curl; Ω)-Elliptic Problem on Hexahedral Meshes

Blanca Ayuso de Dios, Ralf Hiptmair, Cecilia Pagliantini

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review


We present a family of preconditioners based on the auxiliary space method for a discontinuous Galerkin discretization on cubical meshes of H(curl;Ω)-elliptic problems with possibly discontinuous coefficients. We address the influence of possible discontinuities in the coefficients on the asymptotic performance of the proposed solvers and present numerical results in two dimensions.
Original languageEnglish
Title of host publicationDomain Decomposition methods in Science and Engineering XXIV
PublisherSpringer International Publishing
Number of pages9
Publication statusPublished - 2018
Externally publishedYes

Publication series

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

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