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

Sorbonne Université
CEA-CESTA

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Numéro d'article	31
journal	BIT Numerical Mathematics
Volume	64
Numéro de publication	3
Les DOIs	https://doi.org/10.1007/s10543-024-01031-y
état	Publié - 1 sept. 2024

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10.1007/s10543-024-01031-y

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

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.",

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

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.

AB - 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.

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

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