Multiscale coarse spaces for overlapping Schwarz methods based on the ACMS space in 2D

DOI10.1553/etna_vol48s156zbMath1448.65263OpenAlexW2803433539WikidataQ129777834 ScholiaQ129777834MaRDI QIDQ1637986

Jascha Knepper, Oliver Rheinbach, Axel Klawonn, Alexander Heinlein

Publication date: 12 June 2018

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol48/abstract.php?vol=48&pages=156-182

zbMATH Keywords

domain decompositionparallelmultiscaleoverlapping Schwarzapproximate component mode synthesis (ACMS)scientific software

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) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Preconditioners for iterative methods (65F08)

Related Items (19)

Spectral coarse spaces for the substructured parallel Schwarz method ⋮ Substructured two-grid and multi-grid domain decomposition methods ⋮ A Parallel Implementation of a Two-Level Overlapping Schwarz Method with Energy-Minimizing Coarse Space Based on Trilinos ⋮ Combining machine learning and domain decomposition methods for the solution of partial differential equations—A review ⋮ Adaptive Nonlinear Domain Decomposition Methods with an Application to the $p$-Laplacian ⋮ Does SHEM for Additive Schwarz Work Better than Predicted by Its Condition Number Estimate? ⋮ On Optimal Coarse Spaces for Domain Decomposition and Their Approximation ⋮ An Adaptive GDSW Coarse Space for Two-Level Overlapping Schwarz Methods in Two Dimensions ⋮ Additive and Hybrid Nonlinear Two-Level Schwarz Methods and Energy Minimizing Coarse Spaces for Unstructured Grids ⋮ A frugal FETI-DP and BDDC coarse space for heterogeneous problems ⋮ A Continuous Analysis of Neumann--Neumann Methods: Scalability and New Coarse Spaces ⋮ Machine Learning in Adaptive FETI-DP: Reducing the Effort in Sampling ⋮ From Additive Average Schwarz Methods to Nonoverlapping Spectral Additive Schwarz Methods ⋮ Machine Learning in Adaptive Domain Decomposition Methods---Predicting the Geometric Location of Constraints ⋮ Coarse spaces for FETI-DP and BDDC methods for heterogeneous problems: connections of deflation and a generalized transformation-of-basis approach ⋮ 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 ⋮ Optimal Local Approximation Spaces for Parabolic Problems

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