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Restrictions on the Use of Sweeping Type Preconditioners for Helmholtz Problems - MaRDI portal

Restrictions on the Use of Sweeping Type Preconditioners for Helmholtz Problems (Q5114550)

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scientific article; zbMATH DE number 7214467

Language	Label	Description	Also known as
English	Restrictions on the Use of Sweeping Type Preconditioners for Helmholtz Problems	scientific article; zbMATH DE number 7214467

Statements

scholarly article

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Restrictions on the Use of Sweeping Type Preconditioners for Helmholtz Problems (English)

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Martin J. Gander

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Lecture Notes in Computational Science and Engineering

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publication date

24 June 2020

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zbMATH Keywords

Helmholtz problems

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sweeping-type preconditioners

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-319-93873-8_30

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Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?

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A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation

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A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain

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A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain Part II: Extensions

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On the Minimal Shift in the Shifted Laplacian Preconditioner for Multigrid to Work

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How Large a Shift is Needed in the Shifted Helmholtz Preconditioner for its Effective Inversion by Multigrid?

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Sweeping preconditioner for the Helmholtz equation: Hierarchical matrix representation

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Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers

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On a class of preconditioners for solving the Helmholtz equation

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Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods

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Optimized Schwarz Methods

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AILU: a preconditioner based on the analytic factorization of the elliptic operator

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AN INCOMPLETE LU PRECONDITIONER FOR PROBLEMS IN ACOUSTICS

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The Pole Condition: A Padé Approximation of the Dirichlet to Neumann Operator

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A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods

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Optimized Schwarz Methods without Overlap for the Helmholtz Equation

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An optimized Schwarz method with two-sided Robin transmission conditions for the Helmholtz equation

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Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: What is the largest shift for which wavenumber-independent convergence is guaranteed?

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Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption

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The method of polarized traces for the 2D Helmholtz equation

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Identifiers

zbMATH Open document ID

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10.1007/978-3-319-93873-8_30

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5114550

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