Corrigendum to ``A dual iterative substructuring method with a small penalty parameter'', [J. Korean Math. Soc. 54 (2017), No. 2, 461--477]

Chang-Ock Lee; Eun-Hee Park; Jongho Park

doi:10.4134/JKMS.j200505

Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2021; 58(3): 791-797

Online first article April 2, 2021 Printed May 1, 2021

https://doi.org/10.4134/JKMS.j200505

Corrigendum to ``A dual iterative substructuring method with a small penalty parameter'', [J. Korean Math. Soc. 54 (2017), No. 2, 461--477]

Chang-Ock Lee, Eun-Hee Park, Jongho Park

KAIST; Kangwon National University; KAIST

Abstract

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Abstract

In this corrigendum, we offer a correction to~[J. Korean Math. Soc. 54 (2017), No. 2, 461--477]. We construct a counterexample for the strengthened Cauchy--Schwarz inequality used in the original paper. In addition, we provide a new proof for Lemma~5 of the original paper, an estimate for the extremal eigenvalues of the standard unpreconditioned FETI-DP dual operator.

Keywords: Domain decomposition, dual substructuring, FETI-DP

MSC numbers: 65F10, 65N30, 65N55