Substructuring the Hiptmair-Xu preconditioner for positive definite H(curl,Ω) problems

Roxane Delville-Atchekzai; Xavier Claeys; Matthieu Lecouvez

doi:10.1007/s10543-024-01031-y

Substructuring the Hiptmair-Xu preconditioner for positive definite H(curl,Ω) problems

Roxane Delville-Atchekzai
, Xavier Claeys
, Matthieu Lecouvez

Research output: Contribution to journal › Article › peer-review

Abstract

Considering positive H(curl,Ω) problems, we propose a substructured version of the Hiptmair-Xu preconditioner based on a new formula that expresses the inverse of Schur systems in terms of the inverse matrix of the global volume problem.

Original language	English
Article number	31
Journal	BIT Numerical Mathematics
Volume	64
Issue number	3
DOIs	https://doi.org/10.1007/s10543-024-01031-y
Publication status	Published - 1 Sept 2024

Keywords

35Q61
65F08
65N55
Domain decomposition
H(curl,Ω)
Preconditioning
Substructuring

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10.1007/s10543-024-01031-y

Cite this

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abstract = "Considering positive H(curl,Ω) problems, we propose a substructured version of the Hiptmair-Xu preconditioner based on a new formula that expresses the inverse of Schur systems in terms of the inverse matrix of the global volume problem.",

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author = "Roxane Delville-Atchekzai and Xavier Claeys and Matthieu Lecouvez",

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AU - Claeys, Xavier

AU - Lecouvez, Matthieu

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Nature B.V. 2024.

PY - 2024/9/1

Y1 - 2024/9/1

N2 - Considering positive H(curl,Ω) problems, we propose a substructured version of the Hiptmair-Xu preconditioner based on a new formula that expresses the inverse of Schur systems in terms of the inverse matrix of the global volume problem.

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KW - 35Q61

KW - 65F08

KW - 65N55

KW - Domain decomposition

KW - H(curl,Ω)

KW - Preconditioning

KW - Substructuring

UR - https://www.scopus.com/pages/publications/85198649815

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DO - 10.1007/s10543-024-01031-y

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Substructuring the Hiptmair-Xu preconditioner for positive definite H(curl,Ω) problems

Abstract

Keywords

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