FROSch: a fast and robust overlapping Schwarz domain decomposition preconditioner based on Xpetra in Trilinos

DOI10.1007/978-3-030-56750-7_19OpenAlexW2902178317MaRDI QIDQ2100345

Axel Klawonn, Oliver Rheinbach, Sivasankaran Rajamanickam, Alexander Heinlein

Publication date: 21 November 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-56750-7_19

zbMATH Keywords

domain decompositionparallel implementationoverlapping Schwarz preconditionersoftware FROSch (Fast and Robust Overlapping Schwarz)

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) Parallel numerical computation (65Y05) Software, source code, etc. for problems pertaining to numerical analysis (65-04) Preconditioners for iterative methods (65F08)

Related Items (9)

FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica ⋮ A multilevel extension of the GDSW overlapping Schwarz preconditioner in two dimensions ⋮ Implementation of balancing domain decomposition method for parallel finite element analysis involving inactive elements ⋮ 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 ⋮ FROSch ⋮ 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 ⋮ Adaptive GDSW Coarse Spaces of Reduced Dimension for Overlapping Schwarz Methods

Uses Software

• Trilinos
• IFPACK
• Amesos2
• ShyLU

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