On the public citation graph

Localized Orthogonal Decomposition for two-scale Helmholtz-typeproblems

https://doi.org/10.3934/math.2017.2.458

0 signed · 47 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.

Claim with ORCID

Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.

See reference health

What this work says

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

inferredcites →https://doi.org/10.1007/978-3-319-41640-3_11openalex-snapshot

Variational Multiscale Stabilization and the Exponential Decay of Fine-Scale Correctors

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/s00211-014-0665-6openalex-snapshot

Computation of eigenvalues by numerical upscaling

inferredcites →https://doi.org/10.1007/s00211-015-0703-zopenalex-snapshot

On multiscale methods in Petrov–Galerkin formulation

inferredcites →https://doi.org/10.1007/s00607-006-0177-zopenalex-snapshot

A Refined Finite Element Convergence Theory for Highly Indefinite Helmholtz Problems

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/10.1016/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.2016.06.034openalex-snapshot

A multiscale method for linear elasticity reducing Poisson locking

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.2009.02.027openalex-snapshot

Homogenization of the 3D Maxwell system near resonances and artificial magnetism

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.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/s0045-7825(98)00079-6openalex-snapshot

The variational multiscale method—a paradigm for computational mechanics

inferredcites →https://doi.org/10.1051/m2an/2015066openalex-snapshot

A plane wave virtual element method for the Helmholtz problem

inferredcites →https://doi.org/10.1088/0953-8984/14/15/317openalex-snapshot

Photonic band-gap effects and magnetic activity in dielectric composites

inferredcites →https://doi.org/10.1088/0959-7174/7/2/006openalex-snapshot

Homogenization of a set of parallel fibres

inferredcites →https://doi.org/10.1090/mcom/3114openalex-snapshot

Localized orthogonal decomposition method for the wave equation with a continuum of scales

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/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/10.1112/s0025579314000424openalex-snapshot

HOMOGENIZATION OF THE SYSTEM OF HIGH‐CONTRAST MAXWELL EQUATIONS

inferredcites →https://doi.org/10.1137/040605229openalex-snapshot

A Posteriori Error Estimates for the Heterogeneous Multiscale Finite Element Method for Elliptic Homogenization Problems

inferredcites →https://doi.org/10.1137/050645646openalex-snapshot

Variational Multiscale Analysis: the Fine‐scale Green’s Function, Projection, Optimization, Localization, and Stabilized Methods

inferredcites →https://doi.org/10.1137/0523084openalex-snapshot

Homogenization and Two-Scale Convergence

inferredcites →https://doi.org/10.1137/09074557xopenalex-snapshot

Homogenization of Maxwell's Equations in a Split Ring Geometry

inferredcites →https://doi.org/10.1137/090776202openalex-snapshot

Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation

inferredcites →https://doi.org/10.1137/120883451openalex-snapshot

A Hybridizable Discontinuous Galerkin Method for the Helmholtz Equation with High Wave Number

inferredcites →https://doi.org/10.1137/130933198openalex-snapshot

Localized Orthogonal Decomposition Techniques for Boundary Value Problems

inferredcites →https://doi.org/10.1137/15m1039225openalex-snapshot

A New Heterogeneous Multiscale Method for Time-Harmonic Maxwell's Equations

inferredcites →https://doi.org/10.1137/16m1064246openalex-snapshot

A Negative Index Meta-Material for Maxwell's Equations

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/s0036142994269186openalex-snapshot

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

inferredcites →https://doi.org/10.17877/de290r-15319openalex-snapshot

Homogenization of Maxwell’s equations with split rings

inferredcites →https://doi.org/10.3934/nhm.2013.8.857openalex-snapshot

Plasmonic waves allow perfect transmission through sub-wavelength metallic gratings

What points at this work

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

inferred← citeshttps://doi.org/10.1016/j.cam.2025.116885openalex-snapshot

Temporal splitting with Explicit-Implicit-Null method for nonlinear generalized multiscale subdiffusion equations

inferred← citeshttps://doi.org/10.1016/j.cma.2019.03.050openalex-snapshot

A localized reduced-order modeling approach for PDEs with bifurcating solutions

inferred← citeshttps://doi.org/10.1051/m2an/2018064openalex-snapshot

Heterogeneous Multiscale Method for the Maxwell equations with high contrast

inferred← citeshttps://doi.org/10.1051/m2an/2022006openalex-snapshot

An offline-online strategy for multiscale problems with random defects

inferred← citeshttps://doi.org/10.1090/mcom/3693openalex-snapshot

Superconvergence of time invariants for the Gross–Pitaevskii equation

inferred← citeshttps://doi.org/10.1137/16m1108820openalex-snapshot

A New Heterogeneous Multiscale Method for the Helmholtz Equation with High Contrast

inferred← citeshttps://doi.org/10.1137/17m1133932openalex-snapshot

Numerical Homogenization of H(curl)-Problems

inferred← citeshttps://doi.org/10.48550/arxiv.1710.03123openalex-snapshot

Numerical homogenization for indefinite H(curl)-problems

inferred← citeshttps://doi.org/10.5445/ir/1000129328openalex-snapshot

An offline-online strategy for multiscale problems with random defects

inferred← citeshttps://doi.org/10.70675/63cd1da5z80f1z4be2zbba2zf06d6fdc69ceopenalex-snapshot

Multi-scale Finite Element Method for incompressible flows in heterogeneous media : Implementation and Convergence analysis.

Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.