AILU FOR HELMHOLTZ PROBLEMS: A NEW PRECONDITIONER BASED ON THE ANALYTIC PARABOLIC FACTORIZATION

DOI10.1142/S0218396X01001510zbMath1360.76181OpenAlexW4247409105MaRDI QIDQ2981700

Martin J. Gander, Frédéric Nataf

Publication date: 9 May 2017

Published in: Journal of Computational Acoustics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218396x01001510

Mathematics Subject Classification ID

Related Items (16)

On a class of preconditioners for solving the Helmholtz equation ⋮ A survey of finite element methods for time-harmonic acoustics ⋮ Nested Domain Decomposition with Polarized Traces for the 2D Helmholtz Equation ⋮ A modified SSOR preconditioning strategy for Helmholtz equations ⋮ A composite preconditioner for the electromagnetic scattering from a large cavity ⋮ Advances in iterative methods and preconditioners for the Helmholtz equation ⋮ How Large a Shift is Needed in the Shifted Helmholtz Preconditioner for its Effective Inversion by Multigrid? ⋮ Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation ⋮ Recursive Sweeping Preconditioner for the Three-Dimensional Helmholtz Equation ⋮ The method of polarized traces for the 2D Helmholtz equation ⋮ On block triangular preconditioned iteration methods for solving the Helmholtz equation ⋮ A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator ⋮ Additive Sweeping Preconditioner for the Helmholtz Equation ⋮ AILU ⋮ A Numerical Study on the Compressibility of Subblocks of Schur Complement Matrices Obtained from Discretized Helmholtz Equations ⋮ A Rational Function Preconditioner For Indefinite Sparse Linear Systems

Cites Work

• Tangential frequency filtering decompositions for symmetric matrices
• Iterative solution of elliptic problems by approximate factorization

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