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math.NA2022
Higher order convergence of perfectly matched layers in 3D bi-periodic surface scattering problems
Ruming Zhang
The perfectly matched layer (PML) is a very popular tool in the truncation of wave scattering in unbounded domains. In Chandler-Wilde & Monk et al. 2009, the author proposed a conj…
math.NA2022★ 1 cited
A nonuniform mesh method for wave scattered by periodic surfaces
Tilo Arens, Ruming Zhang
In this paper, we propose a new nonuniform mesh method to simulate acoustic scattering problems in two dimensional periodic structures with non-periodic incident fields numerically…
math.NA2021
Exponential convergence of perfectly matched layers for scattering problems with periodic surfaces
Ruming Zhang
The main task in this paper is to prove that the perfectly matched layers (PML) method converges exponentially with respect to the PML parameter, for scattering problems with perio…