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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
Efficient numerical method for the Schrödinger equation with high-contrast potentials
Xingguang Jin, Liu Liu, Xiang Zhong +1
In this paper, we study the Schrödinger equation in the semiclassical regime and with multiscale potential function. We develop the so-called constraint energy minimization general…