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math.NA2026
Discretization in Multilayered Media with High Contrasts: Is It All About the Boundaries?
Camille Carvalho, Stéphanie Chaillat, Elsie Cortes +1
Wave propagation in multilayered media with high material contrasts poses significant numerical challenges, as large variations in wavenumbers lead to strong reflections and comple…
math.NA2019
A Fully Fourth Order Accurate Energy Stable Finite Difference Method for Maxwell's Equations in Metamaterials
Puttha Sakkaplangkul, Vrushali Bokil, Camille Carvalho
We present a novel fully fourth order in time and space {finite difference method for the time domain Maxwell's equations} in metamaterials. We consider a Drude metamaterial model…
math.NA2018
Close evaluation of layer potentials in three dimensions
S. Khatri, A. D. Kim, Ricado Cortez +1
We present a simple and effective method for evaluating double-and single-layer potentials for Laplace's equation in three dimensions close to the boundary. The close evaluation of…