A three-level extension of the GDSW overlapping Schwarz preconditioner in two dimensions

DOI10.1007/978-3-030-14244-5_10zbMath1433.65333OpenAlexW4246036476MaRDI QIDQ2290596

Oliver Rheinbach, Axel Klawonn, Friederike Röver, Alexander Heinlein

Publication date: 29 January 2020

Full work available at URL: https://doi.org/10.1007/978-3-030-14244-5_10

zbMATH Keywords

elliptic boundary value problemgeneralized Dryja-Smith-Widlund preconditioner

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Second-order elliptic equations (35J15) Parallel numerical computation (65Y05) Preconditioners for iterative methods (65F08)

Related Items (8)

FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica ⋮ A multilevel extension of the GDSW overlapping Schwarz preconditioner in two dimensions ⋮ Parallel Scalability of Three-Level FROSch Preconditioners to 220000 Cores using the Theta Supercomputer ⋮ Monolithic parallel overlapping Schwarz methods in fully-coupled nonlinear chemo-mechanics problems ⋮ Monolithic Overlapping Schwarz Domain Decomposition Methods with GDSW Coarse Spaces for Incompressible Fluid Flow Problems ⋮ Adaptive GDSW Coarse Spaces for Overlapping Schwarz Methods in Three Dimensions ⋮ A Multilevel Schwarz Preconditioner Based on a Hierarchy of Robust Coarse Spaces ⋮ Adaptive GDSW Coarse Spaces of Reduced Dimension for Overlapping Schwarz Methods

Uses Software

• Trilinos
• FROSch

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