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20132025
most citedOn the use of Perfectly Matched Layers at corners for scattering problems with sign-changing coefficients

37 citations · 137 across the 29 of their papers we have counts for

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math.SP2023

Spectrum of the Laplacian with mixed boundary conditions in a chamfered quarter of layer

Lucas Chesnel, Sergei A. Nazarov, Jari Taskinen

We investigate the spectrum of a Laplace operator with mixed boundary conditions in an unbounded chamfered quarter of layer. This problem arises in the study of the spectrum of the…

math.SP2023

Spectrum of the Dirichlet Laplacian in a thin cubic lattice

Lucas Chesnel, Sergei A. Nazarov

We give a description of the lower part of the spectrum of the Dirichlet Laplacian in an unbounded 3D periodic lattice made of thin bars (of width ) which have a s…