Discontinuous Coarse Spaces for DD-Methods with Discontinuous Iterates

DOI10.1007/978-3-319-05789-7_58zbMath1382.65439OpenAlexW753048617MaRDI QIDQ3133673

Martin J. Gander, Laurence Halpern, Kévin Santugini-Repiquet

Publication date: 5 February 2018

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-05789-7_58

zbMATH Keywords

algorithmdomain decompositionnumerical experimentsoptimized Schwarz methodsadditive Schwarz methodsdiscontinuous coarse spaces

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10)

Related Items (12)

On Nilpotent Subdomain Iterations ⋮ SHEM: An Optimal Coarse Space for RAS and Its Multiscale Approximation ⋮ On the scalability of classical one-level domain-decomposition methods ⋮ Multigrid interpretations of the parareal algorithm leading to an overlapping variant and MGRIT ⋮ Does SHEM for Additive Schwarz Work Better than Predicted by Its Condition Number Estimate? ⋮ On Optimal Coarse Spaces for Domain Decomposition and Their Approximation ⋮ Complete, Optimal and Optimized Coarse Spaces for Additive Schwarz ⋮ Multilevel Optimized Schwarz Methods ⋮ A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods ⋮ A Continuous Analysis of Neumann--Neumann Methods: Scalability and New Coarse Spaces ⋮ Methods of reflections: relations with Schwarz methods and classical stationary iterations, scalability and preconditioning. ⋮ A Discontinuous Coarse Space (DCS) Algorithm for Cell Centered Finite Volume Based Domain Decomposition Methods: The DCS-RJMin Algorithm

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