Additive Schwarz preconditioner for the Neumann problem with a boundary layer

DOI10.1515/156939803322380800zbMath1041.65099OpenAlexW4253288298MaRDI QIDQ4459154

V. V. Akimov

Publication date: 25 March 2004

Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/156939803322380800

zbMATH Keywords

numerical examplesdomain decompositionfinite elementcondition numberboundary layermortar element methodmesh refinementelliptic equationadditive Schwarz preconditioner

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) Numerical computation of matrix norms, conditioning, scaling (65F35) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Cites Work

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• The Construction of Preconditioners for Elliptic Problems by Substructuring. II
• Iterative Methods by Space Decomposition and Subspace Correction
• On a Parallel Implementation of the Mortar Element Method
• Domain Decomposition Algorithms with Small Overlap
• A Fast Solver for Navier–Stokes Equations in the Laminar Regime Using Mortar Finite Element and Boundary Element Methods
• Iterative Solution Methods
• On the Convergence of Discrete Approximations to the Navier-Stokes Equations

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