Numerical multiscale methods for waves in high-contrast media
DOI10.1365/s13291-023-00273-zOpenAlexW4387740179MaRDI QIDQ6118087
Publication date: 23 February 2024
Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1365/s13291-023-00273-z
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) PDEs in connection with optics and electromagnetic theory (35Q60) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) A priori estimates in context of PDEs (35B45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Composite media; random media in optics and electromagnetic theory (78A48) Electromagnetic theory (general) (78A25) Resonance in context of PDEs (35B34) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization in optics and electromagnetic theory (78M40)
Cites Work
- Unnamed Item
- Unnamed Item
- Homogenization of a hyperbolic equation with highly contrasting diffusivity coefficients.
- Robust numerical upscaling of elliptic multiscale problems at high contrast
- Resonance meets homogenization. Construction of meta-materials with astonishing properties
- The heterogeneous multiscale methods
- Effective models and numerical homogenization for wave propagation in heterogeneous media on arbitrary timescales
- Effective Maxwell's equations for perfectly conducting split ring resonators
- Adaptive generalized multiscale finite element methods for \(\mathrm{H(curl)}\)-elliptic problems with heterogeneous coefficients
- Homogenization near resonances and artificial magnetism from dielectrics
- Wave interaction with subwavelength resonators
- Mathematical analysis of transmission properties of electromagnetic meta-materials
- Homogenization near resonances and artificial magnetism in three dimensional dielectric metamaterials
- On the approximation of electromagnetic fields by edge finite elements. II: A heterogeneous multiscale method for Maxwell's equations
- Plasmonic waves allow perfect transmission through sub-wavelength metallic gratings
- Stable multiscale Petrov-Galerkin finite element method for high frequency acoustic scattering
- Homogenization of Maxwell's Equations in a Split Ring Geometry
- A Priori Error Analysis of the Finite Element Heterogeneous Multiscale Method for the Wave Equation over Long Time
- Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization
- Eliminating the pollution effect in Helmholtz problems by local subscale correction
- Multiscale Methods for Wave Problems in Heterogeneous Media
- Controlling Electromagnetic Fields
- DISPERSIVE EFFECTIVE MODELS FOR WAVES IN HETEROGENEOUS MEDIA
- The heterogeneous multiscale method
- A Negative Index Meta-Material for Maxwell's Equations
- Localization of elliptic multiscale problems
- Dispersive homogenized models and coefficient formulas for waves in general periodic media
- Homogenization and Two-Scale Convergence
- Numerical Homogenization of H(curl)-Problems
- A Bloch Wave Numerical Scheme for Scattering Problems in Periodic Wave-Guides
- Multiscale Nanorod Metamaterials and Realizable Permittivity Tensors
- Contrast Independent Localization of Multiscale Problems
- Computation of Quasi-Local Effective Diffusion Tensors and Connections to the Mathematical Theory of Homogenization
- Effective Maxwell’s equations in general periodic microstructures
- Multi-Resolution Localized Orthogonal Decomposition for Helmholtz Problems
- The Heterogeneous Multiscale Method for Dispersive Maxwell Systems
- Computational Homogenization of Time-Harmonic Maxwell's Equations
- A new Heterogeneous Multiscale Method for the Helmholtz equation with high contrast
- Computational high frequency scattering from high-contrast heterogeneous media
- Numerical Homogenization by Localized Orthogonal Decomposition
- Long-time homogenization and asymptotic ballistic transport of classical waves
- Heterogeneous Multiscale Method for Maxwell's Equations
- Heterogeneous Multiscale Method for the Maxwell equations with high contrast
- Bloch-Wave Homogenization on Large Time Scales and Dispersive Effective Wave Equations
- Analysis of Heterogeneous Multiscale Methods for Long Time Wave Propagation Problems
- Finite Element Heterogeneous Multiscale Method for the Wave Equation: Long-Time Effects
- Effective Models for Long Time Wave Propagation in Locally Periodic Media
- Oversampling for the Multiscale Finite Element Method
- A New Heterogeneous Multiscale Method for Time-Harmonic Maxwell's Equations
- A Posteriori Error Estimates for the Heterogeneous Multiscale Finite Element Method for Elliptic Homogenization Problems
- Super-localization of elliptic multiscale problems
- Numerical homogenization beyond scale separation
- Wavenumber Explicit Convergence of a Multiscale Generalized Finite Element Method for Heterogeneous Helmholtz Problems
- An Improved High-Order Method for Elliptic Multiscale Problems
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