Journal: Multiscale Modeling & Simulation

Abbreviation

Multiscale model. simul.

Publisher

SIAM

Journal Volumes

ISSN

1540-3459
1540-3467

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Publications 1 - 10 of 32
  • Multiscale Mass-Spring Models of Carbon Nanotube Arrays Accounting for Mullins-like Behavior and Permanent Deformation
    Item type: Journal Article
    Blesgen, T.; Fraternali, F.; Raney, J.R.; et al. (2013)
    Multiscale Modeling & Simulation
  • Multiscale modeling of nonlinearly adsorbing solute transport
    Item type: Journal Article
    Attinger, Sabine; Dimitrova, Jiva; Kinzelbach, Micha; et al. (2003)
    Multiscale Modeling & Simulation
  • Edge Modes in Subwavelength Resonators in One Dimension
    Item type: Journal Article
    Ammari, Habib; Barandun, Silvio; Cao, Jinghao; et al. (2023)
    Multiscale Modeling & Simulation
    We present the mathematical theory of one-dimensional infinitely periodic chains of subwavelength resonators. We analyze both Hermitian and non-Hermitian systems. Subwavelength resonances and associated modes can be accurately predicted by a finite dimensional eigenvalue problem involving a capacitance matrix. We are able to compute the Hermitian and non-Hermitian Zak phases, showing that the former is quantized and the latter is not. Furthermore, we show the existence of localized edge modes arising from defects in the periodicity in both the Hermitian and non-Hermitian cases. In the non-Hermitian case, we provide a complete characterization of the edge modes.
  • Adaptive multiscale finite-volume method for multiphase flow and transport in porous media
    Item type: Journal Article
    Jenny, Patrick; Lee, Seong H.; Tchelepi, Hamdi A. (2005)
    Multiscale Modeling & Simulation
  • Adaptive Hierarchical Fracture Model for Enhanced Geothermal Systems
    Item type: Journal Article
    Karvounis, Dimitrios C.; Jenny, Patrick (2016)
    Multiscale Modeling & Simulation
  • Fano Resonances in All-Dielectric Electromagnetic Metasurfaces
    Item type: Journal Article
    Ammari, Habib; Li, Bowen; Li, Hongjie; et al. (2024)
    Multiscale Modeling & Simulation
    We are interested in the resonant electromagnetic scattering by all -dielectric metasurfaces made of a two-dimensional lattice of nanoparticles with high refractive indices. In [Ammari, Li, and Zou, Trans. Amer. Math. Soc., 376 (2023), pp. 39--90], it has been shown that a single high -index nanoresonator can couple with the incident wave and exhibit a strong magnetic dipole response. Recent physics experiments reveal that when the particles are arranged in certain periodic configurations, they may have different anomalous scattering effects in the macroscopic scale, compared to the single -particle case. In this work, we shall develop a rigorous mathematical framework for analyzing the resonant behaviors of all -dielectric metasurfaces. We start with the characterization of subwavelength scattering resonances in such a periodic setting and their asymptotic expansions in terms of the refractive index of the nanoparticles. Then we show that real resonances always exist below the essential spectrum of the periodic Maxwell operator and that they are the simple poles of the scattering resolvent with the exponentially decaying resonant modes. By using group theory, we discuss the implications of the symmetry of the metasurface on the subwavelength band functions and their associated eigenfunctions. For the symmetric metasurfaces with the normal incidence, we use a variational method to show the existence of embedded eigenvalues (i.e., real subwavelength resonances embedded in the continuous radiation spectrum). Furthermore, we break the configuration symmetry either by introducing a small deformation of particles or by slightly deviating from the normal incidence and prove that Fano-type reflection and transmission anomalies can arise in both of these scenarios.
  • Close-To-Touching Acoustic Subwavelength Resonators: Eigenfrequency Separation and Gradient Blow-Up
    Item type: Journal Article
    Ammari, Habib; Davies, Bryn; Yu, Sanghyeon (2020)
    Multiscale Modeling & Simulation
    In this paper, we study the behavior of the coupled subwavelength resonant modes when two high-contrast acoustic resonators are brought close together. We consider the case of spherical resonators and use bispherical coordinates to derive explicit representations for the capacitance coefficients which, we show, capture the system's resonant behavior at leading order. We prove that the pair of resonators has two subwavelength resonant modes whose frequencies have different leading-order asymptotic behavior. We also derive estimates for the rate at which the gradient of the scattered pressure wave blows up as the resonators are brought together. © 2020 Society for Industrial and Applied Mathematics.
  • Coarse graining for upscaling of flow in heterogeneous porous media
    Item type: Journal Article
    Eberhard, Jens; Attinger, Sabine; Wittum, Gabriel (2004)
    Multiscale Modeling & Simulation
  • Parabolic Free Boundary Price Formation Models Under Market Size Fluctuations
    Item type: Journal Article
    Markowich, Peter; Teichmann, Josef; Wolfram, Marie-Therese (2016)
    Multiscale Modeling & Simulation
  • Heterogeneous Multiscale FEM for Diffusion Problems on Rough Surfaces
    Item type: Journal Article
    Abdulle, Assyr; Schwab, Christoph (2005)
    Multiscale Modeling & Simulation
Publications 1 - 10 of 32