POEMS: Propagation des Ondes : Etude Mathématique et Simulationan

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20062026

most citedA Fourier-accelerated volume integral method for elastoplastic contact

64 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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6 papers · 1 filter

math.SP2022

The scattering phase: seen at last

Jeffrey Galkowski, Pierre Marchand, Jian Wang +1

The scattering phase, defined as $lo g det S (λ) /2 π i$ where $S (λ)$ is the (unitary) scattering matrix, is the analogue of the counting function for eigenvalues when deali…

math.SP2017★ 3 cited

Spectral asymptotics for $δ$ -interactions on sharp cones

Thomas Ourmières-Bonafos, Konstantin Pankrashkin, Fabio Pizzichillo

We investigate the spectrum of three-dimensional Schrödinger operators with $δ$ -interactions of constant strength supported on circular cones. As shown in earlier works, such opera…

math.SP2016★ 14 cited

Self-adjoint indefinite Laplacians

Claudio Cacciapuoti, Konstantin Pankrashkin, Andrea Posilicano

Let $Ω_{-}$ and $Ω_{+}$ be two bounded smooth domains in $R^{n}$ , $n \geq 2$ , separated by a hypersurface $Σ$ . For $μ > 0$ , consider the function $h_{μ} = 1_{Ω_{-}} - μ 1_{Ω_{+}}$ . We discuss…

math.SP2016★ 16 cited

Discrete spectrum of interactions concentrated near conical surfaces

Thomas Ourmières-Bonafos, Konstantin Pankrashkin

We study the spectrum of two kinds of operators involving a conical geometry: the Dirichlet Laplacian in conical layers and Schrödinger operators with attractive $δ$ -interactions s…

math.SP2016★ 27 cited

Eigenvalues of Robin Laplacians in infinite sectors

Magda Khalile, Konstantin Pankrashkin

For $α \in (0, π)$ , let $U_{α}$ denote the infinite planar sector of opening $2 α$ , \[ U_α=\big\{ (x_1,x_2)\in\mathbb R^2: \big|\arg(x_1+ix_2) \big|<α\big\}, \] and $T_{α}^{γ}$ be the Laplac…

math.SP2012

A Dirichlet-to-Neumann approach for the exact computation of guided modes in photonic crystal waveguides

Sonia Fliss

This works deals with one dimensional infinite perturbation - namely line defects - in periodic media. In optics, such defects are created to construct an (open) waveguide that con…