74 citations · 409 across the 32 of their papers we have counts for
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math.NA2011★ 28 cited
Quantum waveguides with corners
Monique Dauge, Yvon Lafranche, Nicolas Raymond
The simplest modeling of planar quantum waveguides is the Dirichlet eigenproblem for the Laplace operator in unbounded open sets which are uniformly thin in one direction. Here we…
math.NA2011★ 1 cited
Non-coercive transmission problems in polygonal domains. -- Problèmes de transmission non coercifs dans des polygones
Monique Dauge, Benjamin Texier
We show that Kondratev's theory for corner domains can be extended to scalar transmission problems between two polygonal materials if the contrast ratio between the two materials i…