A Weakly Overlapping Domain Decomposition Preconditioner for the Finite Element Solution of Elliptic Partial Differential Equations

DOI10.1137/S1064827501361425zbMath1013.65139OpenAlexW2026707481WikidataQ60501258 ScholiaQ60501258MaRDI QIDQ2780605

Randolph E. Bank, Sarfraz Ahmad Nadeem, Peter K. Jimack, S. V. Nepomnyashchikh

Publication date: 15 April 2002

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827501361425

zbMATH Keywords

numerical examplesdomain decompositionSchwarz methodspreconditioningfinite elementparallel computationsparse linear systemsmesh refinement

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) Parallel numerical computation (65Y05)

Related Items (4)

The influence of partitioning on domain decomposition convergence rates ⋮ An element agglomeration nonlinear additive Schwarz preconditioned Newton method for unstructured finite element problems. ⋮ A Comparison of Additive Schwarz Preconditioners for Parallel Adaptive Finite Elements ⋮ An optimal Schwarz preconditioner for a class of parallel adaptive finite elements

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