Geometry Related Convergence Results for Domain Decomposition Algorithms

DOI10.1137/0728021zbMath0724.65109OpenAlexW2053836713WikidataQ57397432 ScholiaQ57397432MaRDI QIDQ3212229

Pierre-Louis Lions, Tony F. Chan, Thomas Yizhao Hou

Publication date: 1991

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0728021

zbMATH Keywords

convergencedomain decompositioncondition numberpreconditionerSchwarz algorithmSchwarz alternating procedurenonoverlapping Schur complement algorithmsT-shaped domains

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

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