Substructuring preconditioners for an h-p domain decomposition method with interior penalty mortaring

P. F. Antonietti; Blanca Ayuso Dios; S. Bertoluzza; M. Pennacchio

doi:10.1007/s10092-014-0117-9

Substructuring preconditioners for an h-p domain decomposition method with interior penalty mortaring

P. F. Antonietti, Blanca Ayuso Dios, S. Bertoluzza, M. Pennacchio

Computer, Electrical and Mathematical Sciences and Engineering

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

8 Scopus citations

Abstract

We propose and study an iterative substructuring method for an h-p Nitsche-type discretization, following the original approach introduced in Bramble et al. Math. Comp. 47(175):103–134, (1986) for conforming methods. We prove quasi-optimality with respect to the mesh size and the polynomial degree for the proposed preconditioner. Numerical experiments assess the performance of the preconditioner and verify the theory. © 2014, Springer-Verlag Italia.

Original language	English (US)
Pages (from-to)	289-316
Number of pages	28
Journal	Calcolo
Volume	52
Issue number	3
DOIs	https://doi.org/10.1007/s10092-014-0117-9
State	Published - May 13 2014

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title = "Substructuring preconditioners for an h-p domain decomposition method with interior penalty mortaring",

abstract = "We propose and study an iterative substructuring method for an h-p Nitsche-type discretization, following the original approach introduced in Bramble et al. Math. Comp. 47(175):103–134, (1986) for conforming methods. We prove quasi-optimality with respect to the mesh size and the polynomial degree for the proposed preconditioner. Numerical experiments assess the performance of the preconditioner and verify the theory. {\textcopyright} 2014, Springer-Verlag Italia.",

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note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: MTM2011-27739-C04-04, MINECO, Ministerio de Econom{\'i}a y Competitividad",

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AU - Antonietti, P. F.

AU - Ayuso Dios, Blanca

AU - Bertoluzza, S.

AU - Pennacchio, M.

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: MTM2011-27739-C04-04, MINECO, Ministerio de Economía y Competitividad

PY - 2014/5/13

Y1 - 2014/5/13

N2 - We propose and study an iterative substructuring method for an h-p Nitsche-type discretization, following the original approach introduced in Bramble et al. Math. Comp. 47(175):103–134, (1986) for conforming methods. We prove quasi-optimality with respect to the mesh size and the polynomial degree for the proposed preconditioner. Numerical experiments assess the performance of the preconditioner and verify the theory. © 2014, Springer-Verlag Italia.

AB - We propose and study an iterative substructuring method for an h-p Nitsche-type discretization, following the original approach introduced in Bramble et al. Math. Comp. 47(175):103–134, (1986) for conforming methods. We prove quasi-optimality with respect to the mesh size and the polynomial degree for the proposed preconditioner. Numerical experiments assess the performance of the preconditioner and verify the theory. © 2014, Springer-Verlag Italia.

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IS - 3

ER -

Substructuring preconditioners for an h-p domain decomposition method with interior penalty mortaring

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