A Continuous Analysis of Neumann--Neumann Methods: Scalability and New Coarse Spaces

DOI10.1137/20M1316317zbMath1456.65175OpenAlexW3109381729MaRDI QIDQ5147968

Martin J. Gander, Faycal Chaouqui, Kévin Santugini-Repiquet

Publication date: 29 January 2021

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

Full work available at URL: https://doi.org/10.1137/20m1316317

zbMATH Keywords

domain decomposition methodselliptic problemsNeumann-Neumann methods

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Preconditioners for iterative methods (65F08)

Related Items

Spectral coarse spaces for the substructured parallel Schwarz method, Substructured two-grid and multi-grid domain decomposition methods, Convergence of linear and nonlinear Neumann-Neumann method for the Cahn-Hilliard equation, Convergence of substructuring methods for the Cahn-Hilliard equation

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