Iterative Pure Source Transfer Domain Decomposition Methods for Helmholtz Equations in Heterogeneous Media (Q6188987)

scientific article; zbMATH DE number 7787320

Language	Label	Description	Also known as
English	Iterative Pure Source Transfer Domain Decomposition Methods for Helmholtz Equations in Heterogeneous Media	scientific article; zbMATH DE number 7787320

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instance of

scholarly article

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title

Iterative Pure Source Transfer Domain Decomposition Methods for Helmholtz Equations in Heterogeneous Media (English)

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Communications in Computational Physics

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publication date

12 January 2024

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zbMATH Keywords

Helmholtz equation

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large wave number

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perfectly matched layer

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source transfer

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domain decomposition method

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preconditioner

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heterogeneous problem

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.4208/cicp.oa-2023-0032

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cites work

Discrete Dispersion Relation for <i>hp</i>-Version Finite Element Approximation at High Wave Number

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A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution

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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 perfectly matched layer for the absorption of electromagnetic waves

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Analysis of a Cartesian PML approximation to acoustic scattering problems in $\mathbb R^2$ and $\mathbb R^3$

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Using Plane Waves as Base Functions for Solving Time Harmonic Equations with the Ultra Weak Variational Formulation

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Multilevel Preconditioner with Stable Coarse Grid Corrections for the Helmholtz Equation

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An Adaptive Finite Element Method with Perfectly Matched Absorbing Layers for the Wave Scattering by Periodic Structures

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Q5319023

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

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Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems in Two-Layered Media

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Q4217212

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Q4951622

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Preasymptotic Error Analysis of Higher Order FEM and CIP-FEM for Helmholtz Equation with High Wave Number

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A pure source transfer domain decomposition method for Helmholtz equations in unbounded domain

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A Multigrid Method Enhanced by Krylov Subspace Iteration for Discrete Helmholtz Equations

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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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A double-sweeping preconditioner for the Helmholtz equation

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Discontinuous Galerkin Methods for the Helmholtz Equation with Large Wave Number

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ℎ𝑝-Discontinuous Galerkin methods for the Helmholtz equation with large wave number

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Optimized Schwarz Methods without Overlap for the Helmholtz Equation

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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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Plane wave discontinuous Galerkin methods: Analysis of the<i>h</i>-version

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Finite element solution of the Helmholtz equation with high wave number. I: The $h$-version of the FEM

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Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM

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Analysis of a Cartesian PML approximation to acoustic scattering problems in $\mathbb R^2$

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Analysis of the PML equations in general convex geometry

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An Additive Overlapping Domain Decomposition Method for the Helmholtz Equation

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FEM and CIP-FEM for Helmholtz Equation with High Wave Number and Perfectly Matched Layer Truncation

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Q3806726

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Additive Sweeping Preconditioner for the Helmholtz Equation

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An optimized Schwarz method with relaxation for the Helmholtz equation: the negative impact of overlap

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Localization of elliptic multiscale problems

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General DG-methods for highly indefinite Helmholtz problems

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Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions

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Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation

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Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains

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A new Heterogeneous Multiscale Method for the Helmholtz equation with high contrast

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Eliminating the pollution effect in Helmholtz problems by local subscale correction

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An improved sweeping domain decomposition preconditioner for the Helmholtz equation

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Pre-asymptotic error analysis of CIP-FEM and FEM for the Helmholtz equation with high wave number. Part I: linear version

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Double Source Transfer Domain Decomposition Method For Helmholtz Problems

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Preasymptotic Error Analysis of CIP-FEM and FEM for Helmholtz Equation with High Wave Number. Part II: $hp$ Version

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Identifiers

Mathematics Subject Classification ID

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10.4208/CICP.OA-2023-0032

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Sitelinks

Mathematics(1 entry)

mardi Publication:6188987