Generalizations and Accelerations of Lions' Nonoverlapping Domain Decomposition Method for Linear Elliptic PDE

DOI10.1137/S0036142902407150zbMath1059.65114OpenAlexW2021037854MaRDI QIDQ4443681

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Publication date: 18 January 2004

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

Full work available at URL: https://doi.org/10.1137/s0036142902407150

zbMATH Keywords

algorithmsnumerical resultsconvergence accelerationdomain decompositionfinite elementparallel computationdescent-direction methodLions' nonoverlapping methodoptimization-based domain decomposition

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) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05)

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