Continuous analysis of the additive Schwarz method: A stable decomposition inH1with explicit constants
DOI10.1051/m2an/2014043zbMath1320.65190OpenAlexW2005662217MaRDI QIDQ5254427
Laurence Halpern, Martin J. Gander, Kévin Santugini-Repiquet
Publication date: 9 June 2015
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/m2an/2014043
stabilitypreconditioningfinite elementLaplace equationSchwarz domain decomposition methodscoarse grid correction, condition number analysis on the continuous levelconvex and star shaped domains
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Preconditioners for iterative methods (65F08)
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