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            <idno type="halRefHtml">&lt;i&gt;ESAIM: Mathematical Modelling and Numerical Analysis&lt;/i&gt;, 2023, 57 (3), pp.1413-1444. &lt;a target="_blank" href="https://dx.doi.org/10.1051/m2an/2023027"&gt;&amp;#x27E8;10.1051/m2an/2023027&amp;#x27E9;&lt;/a&gt;</idno>
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              <p>A homogenized model is proposed for linear waves in 1D microstructured media. It combines second-order asymptotic homogenization (to account for dispersion) and interface correctors (for transmission from or towards homogeneous media). A new bound on a second-order effective coefficient is proven, ensuring well-posedness of the homogenized model whatever the microstructure. Based on an analogy with existing enriched continua, the evolution equations are reformulated as a dispersive hyperbolic system. The efficiency of the model is illustrated via time-domain numerical simulations. An extension to Dirac source terms is also proposed.</p>
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