Methods of reflections: relations with Schwarz methods and classical stationary iterations, scalability and preconditioning.

DOI10.5802/smai-jcm.46zbMath1435.65224OpenAlexW2902315417WikidataQ126645768 ScholiaQ126645768MaRDI QIDQ2287384

Martin J. Gander, Gabriele Ciaramella, Julien Salomon, Laurence Halpern

Publication date: 20 January 2020

Published in: SMAI Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/smai-jcm.46

zbMATH Keywords

Schwarz methodsdomain decomposition methodsLaplace equationtwo-level methodselliptic PDEcoarse correctionsubstructured methodsmethods of reflections

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Maximum principles in context of PDEs (35B50) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Boundary value problems for second-order elliptic systems (35J57)

Related Items (4)

Spectral coarse spaces for the substructured parallel Schwarz method ⋮ Substructured two-grid and multi-grid domain decomposition methods ⋮ On the method of reflections ⋮ Convergence of the method of reflections for particle suspensions in Stokes flows

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