On Nilpotent Subdomain Iterations

DOI10.1007/978-3-319-52389-7_11zbMath1367.65148OpenAlexW2596250271MaRDI QIDQ5282900

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

Publication date: 17 July 2017

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

Full work available at URL: https://doi.org/10.1007/978-3-319-52389-7_11

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (8)

Closed Form Inverse of Local Multi-Trace Operators ⋮ Schwarz methods by domain truncation ⋮ On the scalability of classical one-level domain-decomposition methods ⋮ Convergence of linear and nonlinear Neumann-Neumann method for the Cahn-Hilliard equation ⋮ On Optimal Coarse Spaces for Domain Decomposition and Their Approximation ⋮ Complete, Optimal and Optimized Coarse Spaces for Additive Schwarz ⋮ Convergence of substructuring methods for the Cahn-Hilliard equation ⋮ A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods

Uses Software

• AILU

Cites Work

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• The method of polarized traces for the 2D Helmholtz equation
• Schwarz methods over the course of time
• A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain
• Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
• A New Coarse Grid Correction for RAS/AS
• Discontinuous Coarse Spaces for DD-Methods with Discontinuous Iterates
• Sweeping preconditioner for the Helmholtz equation: Hierarchical matrix representation
• AN INCOMPLETE LU PRECONDITIONER FOR PROBLEMS IN ACOUSTICS
• AILU: a preconditioner based on the analytic factorization of the elliptic operator
• A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain Part II: Extensions
• Optimized Schwarz Methods

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