Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation

We analyse parallel overlapping Schwarz domain decomposition methods for the Helmholtz equation, where the exchange of information between subdomains is achieved using first-order absorbing (impedance) transmission conditions, together with a partition of unity. We provide a novel analysis of this m...

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Veröffentlicht in:	Numerische Mathematik 2022-10, Vol.152 (2), p.259-306
Hauptverfasser:	Gong, Shihua, Gander, Martin J., Graham, Ivan G., Lafontaine, David, Spence, Euan A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Convergence Domain decomposition methods Eigenvalues Fixed points (mathematics) Function space Helmholtz equations Impedance Iterative methods Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Norms Numerical Analysis Numerical and Computational Physics Operators (mathematics) Simulation Tensors Theoretical
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