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math.NA2025
Multiscale Methods for wave propagation in materials with sign-changing coefficients
Eric T. Chung, Patrick Ciarlet, Xingguang Jin +1
From a mathematical perspective, the extraordinary properties of metamaterials are often reflected in the coefficients of the governing partial differential equations (PDEs). These…
math.NA2025
On some coupled local and nonlocal diffusion models
Juan Pablo Borthagaray, Patrick Ciarlet
We study problems in which a local model is coupled with a nonlocal one. We propose two energies: both of them are based on the same classical weighted -semi norm to model the…