Recursive Sweeping Preconditioner for the Three-Dimensional Helmholtz Equation
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Publication:2797078
DOI10.1137/15M1010154zbMath1376.65035arXiv1502.07266OpenAlexW2300963337MaRDI QIDQ2797078
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Publication date: 4 April 2016
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.07266
Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)
Related Items (15)
Schwarz methods by domain truncation ⋮ Trace transfer-based diagonal sweeping domain decomposition method for the Helmholtz equation: algorithms and convergence analysis ⋮ A semi matrix-free twogrid preconditioner for the Helmholtz equation with near optimal shifts ⋮ Sparsify and Sweep: An Efficient Preconditioner for the Lippmann--Schwinger Equation ⋮ Domain Decomposition with Local Impedance Conditions for the Helmholtz Equation with Absorption ⋮ An Additive Overlapping Domain Decomposition Method for the Helmholtz Equation ⋮ A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods ⋮ Finite Element Method and its Analysis for a Nonlinear Helmholtz Equation with High Wave Numbers ⋮ Double Source Transfer Domain Decomposition Method For Helmholtz Problems ⋮ A Diagonal Sweeping Domain Decomposition Method with Source Transfer for the Helmholtz Equation ⋮ Towards accuracy and scalability: combining isogeometric analysis with deflation to obtain scalable convergence for the Helmholtz equation ⋮ Additive Sweeping Preconditioner for the Helmholtz Equation ⋮ Sparsifying preconditioner for the time-harmonic Maxwell's equations ⋮ Optimal Complex Relaxation Parameters in Multigrid for Complex-Shifted Linear Systems ⋮ A Rational Function Preconditioner For Indefinite Sparse Linear Systems
Uses Software
Cites Work
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