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Computational high frequency scattering from high-contrast heterogeneous media

https://doi.org/10.1090/mcom/3529
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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For Most Frequencies, Strong Trapping Has a Weak Effect in Frequency‐Domain Scattering
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Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation
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The Mathematical Theory of Finite Element Methods
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Variational Multiscale Stabilization and the Exponential Decay of Fine-Scale Correctors
inferredcites →https://doi.org/10.1007/978-3-319-51954-8_6openalex-snapshot
Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations
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Weighted Poincaré Inequalities and Applications in Domain Decomposition
inferredcites →https://doi.org/10.1007/978-3-642-22061-6_9openalex-snapshot
On Stability of Discretizations of the Helmholtz Equation
inferredcites →https://doi.org/10.1007/s00033-018-1031-9openalex-snapshot
Stability estimate for the Helmholtz equation with rapidly jumping coefficients
inferredcites →https://doi.org/10.1007/s002110050172openalex-snapshot
Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions
inferredcites →https://doi.org/10.1007/s10208-015-9260-1openalex-snapshot
Plane Wave Discontinuous Galerkin Methods: Exponential Convergence of the $$hp$$ h p -Version
inferredcites →https://doi.org/10.1007/s10915-011-9460-zopenalex-snapshot
Error Analysis for a Hybridizable Discontinuous Galerkin Method for the Helmholtz Equation
inferredcites →https://doi.org/10.1007/s10915-013-9726-8openalex-snapshot
General DG-Methods for Highly Indefinite Helmholtz Problems
inferredcites →https://doi.org/10.1007/s40324-016-0067-zopenalex-snapshot
A comparison between two-scale asymptotic expansions and Bloch wave expansions for the homogenization of periodic structures
inferredcites →https://doi.org/10.1016/j.cma.2015.06.017openalex-snapshot
Stable multiscale Petrov–Galerkin finite element method for high frequency acoustic scattering
inferredcites →https://doi.org/10.1016/j.cma.2019.02.040openalex-snapshot
Efficient implementation of the localized orthogonal decomposition method
inferredcites →https://doi.org/10.1016/j.crma.2004.06.018openalex-snapshot
Homogenization near resonances and artificial magnetism from dielectrics
inferredcites →https://doi.org/10.1016/j.crma.2014.07.006openalex-snapshot
Finite-element heterogeneous multiscale method for the Helmholtz equation
inferredcites →https://doi.org/10.1016/j.jcp.2013.04.045openalex-snapshot
Generalized multiscale finite element methods (GMsFEM)
inferredcites →https://doi.org/10.1016/j.jde.2018.08.048openalex-snapshot
The Helmholtz equation in heterogeneous media: A priori bounds, well-posedness, and resonances
inferredcites →https://doi.org/10.1016/j.physb.2003.08.015openalex-snapshot
Diffraction theory and focusing of light by a slab of left-handed material
inferredcites →https://doi.org/10.1016/j.ssc.2003.12.022openalex-snapshot
Dielectric photonic crystal as medium with negative electric permittivity and magnetic permeability
inferredcites →https://doi.org/10.1016/s0021-7824(98)80068-8openalex-snapshot
Bloch wave homogenization and spectral asymptotic analysis
inferredcites →https://doi.org/10.1051/m2an/2009002openalex-snapshot
Plane wave discontinuous Galerkin methods: Analysis of the h -version
inferredcites →https://doi.org/10.1051/m2an/2015066openalex-snapshot
A plane wave virtual element method for the Helmholtz problem
inferredcites →https://doi.org/10.1090/mcom/3156openalex-snapshot
Eliminating the pollution effect in Helmholtz problems by local subscale correction
inferredcites →https://doi.org/10.1090/mcom/3457openalex-snapshot
Stability and finite element error analysis for the Helmholtz equation with variable coefficients
inferredcites →https://doi.org/10.1090/s0025-5718-10-02362-8openalex-snapshot
Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions
inferredcites →https://doi.org/10.1090/s0025-5718-2010-02372-5openalex-snapshot
A new multiscale finite element method for high-contrast elliptic interface problems
inferredcites →https://doi.org/10.1090/s0025-5718-2014-02868-8openalex-snapshot
Localization of elliptic multiscale problems
inferredcites →https://doi.org/10.1103/physrevb.65.201104openalex-snapshot
All-angle negative refraction without negative effective index
inferredcites →https://doi.org/10.1126/science.1125907openalex-snapshot
Controlling Electromagnetic Fields
inferredcites →https://doi.org/10.1137/0523084openalex-snapshot
Homogenization and Two-Scale Convergence
inferredcites →https://doi.org/10.1137/090776202openalex-snapshot
Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation
inferredcites →https://doi.org/10.1137/100813968openalex-snapshot
Localized Bases for Finite-Dimensional Homogenization Approximations with Nonseparated Scales and High Contrast
inferredcites →https://doi.org/10.1137/120883451openalex-snapshot
A Hybridizable Discontinuous Galerkin Method for the Helmholtz Equation with High Wave Number
inferredcites →https://doi.org/10.1137/120900332openalex-snapshot
Oversampling for the Multiscale Finite Element Method
inferredcites →https://doi.org/10.1137/130933198openalex-snapshot
Localized Orthogonal Decomposition Techniques for Boundary Value Problems
inferredcites →https://doi.org/10.1137/140995210openalex-snapshot
A Multiscale Method for Porous Microstructures
inferredcites →https://doi.org/10.1137/16m1100460openalex-snapshot
Contrast Independent Localization of Multiscale Problems
inferredcites →https://doi.org/10.1137/16m1108820openalex-snapshot
A New Heterogeneous Multiscale Method for the Helmholtz Equation with High Contrast
inferredcites →https://doi.org/10.1137/17m1141643openalex-snapshot
A Bloch Wave Numerical Scheme for Scattering Problems in Periodic Wave-Guides
inferredcites →https://doi.org/10.1137/18m1189701openalex-snapshot
Numerical Homogenization of Elliptic PDEs with Similar Coefficients
inferredcites →https://doi.org/10.1137/19m1278211openalex-snapshot
Numerical Upscaling of Perturbed Diffusion Problems
inferredcites →https://doi.org/10.1137/s0036139902404025openalex-snapshot
Guided Waves in a Photonic Bandgap Structure with a Line Defect
inferredcites →https://doi.org/10.1137/s0036139995294743openalex-snapshot
Homogenization of Periodic Structures via Bloch Decomposition
inferredcites →https://doi.org/10.1137/s0036142994269186openalex-snapshot
Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
inferredcites →https://doi.org/10.1142/s0218202519500106openalex-snapshot
Acoustic transmission problems: Wavenumber-explicit bounds and resonance-free regions
inferredcites →https://doi.org/10.1515/cmam-2016-0022openalex-snapshot
Robust Numerical Upscaling of Elliptic Multiscale Problems at High Contrast
inferredcites →https://doi.org/10.17877/de290r-18134openalex-snapshot
A Bloch wave numerical scheme for scattering problems in periodic wave-guides
inferredcites →https://doi.org/10.3934/nhm.2013.8.857openalex-snapshot
Plasmonic waves allow perfect transmission through sub-wavelength metallic gratings
inferredcites →https://doi.org/10.4310/cms.2022.v20.n1.a1openalex-snapshot
Wavenumber-explicit convergence analysis for finite element discretizations of time-harmonic wave propagation problems with perfectly matched layers
inferredcites →https://doi.org/10.5167/uzh-157650openalex-snapshot
Stability estimate for the Helmholtz equation with rapidly jumping coefficients

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/s10915-022-02038-9openalex-snapshot
Convergence Analysis of the Localized Orthogonal Decomposition Method for the Semiclassical Schrödinger Equations with Multiscale Potentials
inferred← citeshttps://doi.org/10.1007/s10915-025-03138-yopenalex-snapshot
Two-Level Restricted Additive Schwarz Preconditioner Based on Multiscale Spectral Generalized FEM for Heterogeneous Helmholtz Problems
inferred← citeshttps://doi.org/10.1007/s40314-024-02770-yopenalex-snapshot
An adaptive finite element PML method for Helmholtz equations in periodic heterogeneous media
inferred← citeshttps://doi.org/10.1016/j.cam.2026.117967openalex-snapshot
An adaptive DtN finite element method for wave scattering by periodic composite materials via homogenization
inferred← citeshttps://doi.org/10.1016/j.camwa.2025.08.013openalex-snapshot
High-order discretized ACMS method for the simulation of finite-size two-dimensional photonic crystals
inferred← citeshttps://doi.org/10.1017/s0962492921000015openalex-snapshot
Numerical homogenization beyond scale separation
inferred← citeshttps://doi.org/10.1051/m2an/2021007openalex-snapshot
A generalized finite element method for problems with sign-changing coefficients
inferred← citeshttps://doi.org/10.1051/m2an/2026006openalex-snapshot
A generalized framework for higher-order Localized Orthogonal Decomposition methods
inferred← citeshttps://doi.org/10.1088/1361-6463/adc271openalex-snapshot
Roadmap on metamaterial theory, modelling and design
inferred← citeshttps://doi.org/10.1090/mcom/3722openalex-snapshot
Multiscale scattering in nonlinear Kerr-type media
inferred← citeshttps://doi.org/10.1093/imanum/drab084openalex-snapshot
Fast mass lumped multiscale wave propagation modelling
inferred← citeshttps://doi.org/10.1093/imanum/drad058openalex-snapshot
Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves
inferred← citeshttps://doi.org/10.1093/imanum/drae076openalex-snapshot
An extension of the approximate component mode synthesis method to the heterogeneous Helmholtz equation
inferred← citeshttps://doi.org/10.1098/rspa.2023.0934openalex-snapshot
Metamaterial applications of T matsolver , an easy-to-use software for simulating multiple wave scattering in two dimensions
inferred← citeshttps://doi.org/10.1137/1.9781611976458openalex-snapshot
Numerical Homogenization by Localized Orthogonal Decomposition
inferred← citeshttps://doi.org/10.1137/19m1267180openalex-snapshot
Wavelet-based Edge Multiscale Finite Element Method for Helmholtz problems in perforated domains
inferred← citeshttps://doi.org/10.1137/21m1414607openalex-snapshot
Multi-Resolution Localized Orthogonal Decomposition for Helmholtz Problems
inferred← citeshttps://doi.org/10.1137/21m1438244openalex-snapshot
Numerical Upscaling for Wave Equations with Time-Dependent Multiscale Coefficients
inferred← citeshttps://doi.org/10.1137/21m1450136openalex-snapshot
Scattering by Finely Layered Obstacles: Frequency-Explicit Bounds and Homogenization
inferred← citeshttps://doi.org/10.1137/21m1452123openalex-snapshot
An Elliptic Local Problem with Exponential Decay of the Resonance Error for Numerical Homogenization
inferred← citeshttps://doi.org/10.1137/21m1465950openalex-snapshot
Super-Localized Orthogonal Decomposition for High-Frequency Helmholtz Problems
inferred← citeshttps://doi.org/10.1137/21m1466748openalex-snapshot
Wavenumber Explicit Convergence of a Multiscale Generalized Finite Element Method for Heterogeneous Helmholtz Problems
inferred← citeshttps://doi.org/10.1137/22m1507802openalex-snapshot
Exponentially Convergent Multiscale Methods for 2D High Frequency Heterogeneous Helmholtz Equations
inferred← citeshttps://doi.org/10.1365/s13291-023-00273-zopenalex-snapshot
Numerical Multiscale Methods for Waves in High-Contrast Media
inferred← citeshttps://doi.org/10.1515/cmam-2023-0066openalex-snapshot
Wave Propagation in High-Contrast Media: Periodic and Beyond
inferred← citeshttps://doi.org/10.3934/ipi.2023037openalex-snapshot
Nonlinearity parameter imaging in the frequency domain
inferred← citeshttps://doi.org/10.48550/arxiv.2105.04080openalex-snapshot
Exponentially convergent multiscale methods for high frequency heterogeneous Helmholtz equations
inferred← citeshttps://doi.org/10.5445/ir/1000126755openalex-snapshot
Multiscale scattering in nonlinear Kerr-type media
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