Dispersive homogenized models and coefficient formulas for waves in general periodic media
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Publication:3195296
DOI10.3233/ASY-141280zbMath1332.35024arXiv1401.7839OpenAlexW1951728231MaRDI QIDQ3195296
Tomáš Dohnal, Ben Schweizer, Agnes Lamacz
Publication date: 16 October 2015
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.7839
Second-order hyperbolic equations (35L10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
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Cites Work
- Unnamed Item
- FE heterogeneous multiscale method for long-time wave propagation
- Diffractive geometric optics for Bloch wave packets
- Diffractive behavior of the wave equation in periodic media: weak convergence analysis
- Concentration and lack of observability of waves in highly heterogeneous media
- Dispersive limits in the homogenization of the wave equation.
- Correctors for the homogenization of the wave and heat equations
- Space-time multiscale model for wave propagation in heterogeneous media
- Bloch Approximation in Homogenization and Applications
- DISPERSIVE EFFECTIVE MODELS FOR WAVES IN HETEROGENEOUS MEDIA
- Elastic wave dispersion in microstructured membranes
- A Dispersive Effective Medium for Wave Propagation in Periodic Composites
- Oscillations and Energy Densities in the Wave Equation
- Homogenization of Periodic Structures via Bloch Decomposition
- Non-local dispersive model for wave propagation in heterogeneous media: one-dimensional case
- Non-local dispersive model for wave propagation in heterogeneous media: multi-dimensional case
- ASYMPTOTIC EXPANSION FOR DAMPED WAVE EQUATIONS WITH PERIODIC COEFFICIENTS
- Bloch-Wave Homogenization on Large Time Scales and Dispersive Effective Wave Equations
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