Nonoverlapping domain decomposition methods with a simple coarse space for elliptic problems

DOI10.1090/S0025-5718-10-02361-6zbMath1204.65140OpenAlexW2008623694MaRDI QIDQ3160730

Shi Shu, Qiya Hu, Junxian Wang

Publication date: 8 October 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-10-02361-6

zbMATH Keywords

convergencedomain decompositioncondition numberelliptic equationspreconditioned conjugate gradient methodstrongly discontinuous coefficientssubstructuring preconditionercoarse subspaceinexcat solver

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) 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) PDEs with low regular coefficients and/or low regular data (35R05) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Related Items (8)

Two-level Overlapping Schwarz Methods Based on Local Generalized Eigenproblems for Hermitian Variational Problems ⋮ A multilevel preconditioner for the C-R FEM for elliptic problems with discontinuous coefficients ⋮ JASMIN-based Two-dimensional Adaptive Combined Preconditioner for Radiation Diffusion Equations in Inertial Fusion Research ⋮ A nonoverlapping domain decomposition method for an exterior anisotropic quasilinear elliptic problem in elongated domains ⋮ Domain Decomposition Preconditioners for the System Generated by Discontinuous Galerkin Discretization of 2D-3T Heat Conduction Equations ⋮ Substructuring Preconditioners with a Simple Coarse Space for 2-D 3-T Radiation Diffusion Equations ⋮ A substructuring preconditioner with vertex-related interface solvers for elliptic-type equations in three dimensions ⋮ Substructuring Preconditioners for the Systems Arising from Plane Wave Discretization of Helmholtz Equations

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