Inexact subdomain solves using deflated GMRES for Helmholtz problems

DOI10.1007/978-3-030-95025-5_11MaRDI QIDQ6630097

Pierre Jolivet, Victorita Dolean, V. Dwarka, C. Vuik, Niall Bootland

Publication date: 30 October 2024

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Cites Work

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• Accelerating the shifted Laplace preconditioner for the Helmholtz equation by multilevel deflation
• A comparison of coarse spaces for Helmholtz problems in the high frequency regime
• Analysis of parallel Schwarz algorithms for time-harmonic problems using block Toeplitz matrices
• The role eigenvalues play in forming GMRES residual norms with non-normal matrices
• A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods
• Scalable Convergence Using Two-Level Deflation Preconditioning for the Helmholtz Equation
• On the Dirichlet-to-Neumann Coarse Space for Solving the Helmholtz Problem Using Domain Decomposition

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