7 citations · 23 across the 17 of their papers we have counts for
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math.NA2014★ 1 cited
A numerical approach for the Poisson equation in a planar domain with a small inclusion
Lucas Chesnel, Xavier Claeys
We consider the Poisson equation in a domain with a small hole of size . We present a simple numerical method, based on an asymptotic analysis, which allows to approximate robus…
math.AP2014★ 7 cited
Spectrum of a diffusion operator with coefficient changing sign over a small inclusion
Lucas Chesnel, Xavier Claeys, Sergei A. Nazarov
We study a spectral problem for a diffusion like equation in a 3D domain . The main originality lies in the presence of a parameter , whose sign changes o…