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

Blanca Ayuso de Dios; Ralf Hiptmair; Cecilia Pagliantini

doi:10.1007/978-3-319-93873-8_20

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 proceeding › Conference contribution › Academic › peer-review

Abstract

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 language	English
Title of host publication	Domain Decomposition methods in Science and Engineering XXIV
Publisher	Springer International Publishing
Pages	223-231
Number of pages	9
DOIs	https://doi.org/10.1007/978-3-319-93873-8_20
Publication status	Published - 2018
Externally published	Yes

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	125
ISSN (Print)	1439-7358

Access to Document

10.1007/978-3-319-93873-8_20

Cite this

Ayuso de Dios, B., Hiptmair, R., & Pagliantini, C. (2018). Auxiliary Space Preconditioners for a DG Discretization of H(curl; Ω)-Elliptic Problem on Hexahedral Meshes. In Domain Decomposition methods in Science and Engineering XXIV (pp. 223-231). (Lecture Notes in Computational Science and Engineering; Vol. 125). Springer International Publishing. https://doi.org/10.1007/978-3-319-93873-8_20

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Ayuso de Dios, B, Hiptmair, R & Pagliantini, C 2018, Auxiliary Space Preconditioners for a DG Discretization of H(curl; Ω)-Elliptic Problem on Hexahedral Meshes. in Domain Decomposition methods in Science and Engineering XXIV. Lecture Notes in Computational Science and Engineering, vol. 125, Springer International Publishing, pp. 223-231. https://doi.org/10.1007/978-3-319-93873-8_20

Auxiliary Space Preconditioners for a DG Discretization of H(curl; Ω)-Elliptic Problem on Hexahedral Meshes. / Ayuso de Dios, Blanca; Hiptmair, Ralf; Pagliantini, Cecilia.

Domain Decomposition methods in Science and Engineering XXIV. Springer International Publishing, 2018. p. 223-231 (Lecture Notes in Computational Science and Engineering; Vol. 125).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Ayuso de Dios B, Hiptmair R, Pagliantini C. Auxiliary Space Preconditioners for a DG Discretization of H(curl; Ω)-Elliptic Problem on Hexahedral Meshes. In Domain Decomposition methods in Science and Engineering XXIV. Springer International Publishing. 2018. p. 223-231. (Lecture Notes in Computational Science and Engineering). https://doi.org/10.1007/978-3-319-93873-8_20