Wavenumber explicit estimates of the Schwarz preconditioner with Δ-GenEO coarse space for the indefinite Helmholtz problem

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Dolean, Victorita and Fry, Mark and Langer, Matthias; Bjørstad, Petter and Cai, Xiao-Chuan and Dolean, Victorita and Keyes, David E. and Kornhuber, Ralf and Xu, Jinchao, eds. (2026) Wavenumber explicit estimates of the Schwarz preconditioner with Δ-GenEO coarse space for the indefinite Helmholtz problem. In: Domain Decomposition Methods in Science and Engineering XXVIII. Lecture Notes in Computational Science and Engineering . Springer, SAU. ISBN 978-3-032-26946-1 (In Press)

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Abstract

In this work we focus on the indefinite version of Helmholtz boundary value problems with highly variable coefficients defined on Ω ⊂ R, given by: − div(∇) − 2 = in Ω, = 0 on Ω.

ORCID iDs

Dolean, Victorita ORCID logoORCID: https://orcid.org/0000-0002-5885-1903, Fry, Mark and Langer, Matthias ORCID logoORCID: https://orcid.org/0000-0001-8813-7914; Bjørstad, Petter, Cai, Xiao-Chuan, Dolean, Victorita, Keyes, David E., Kornhuber, Ralf and Xu, Jinchao
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