Department of Mathematical Sciences, University of Bath

Curriculum vitae

Contact: d.lafontaine(at)bath.ac.uk

Office: 4W 3.35

- Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves, with Jeffrey Galkowski and Euan Spence -
*2021* - Wavenumber-explicit convergence of the hp-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients, with Euan Spence and Jared Wunsch -
*2020, Submitted* - A sharp relative-error bound for the Helmholtz h-FEM at high frequency, with Euan Spence and Jared Wunsch -
*2019, Submitted* - For most frequencies, strong trapping has a weak effect in frequency-domain scattering, with Euan Spence and Jared Wunsch -
*accepted in Communications on Pure and Applied Mathematics*

- Scattering for critical radial Neumann waves outside a ball, with Thomas Duyckaerts -
*accepted in Revista MatemÃ¡tica Iberoamericana* - Scattering for NLS with a sum of two repulsive potentials -
*accepted in Annales de l'Institut Fourier* - Scattering for NLS with a potential on the line -
*Asymptotic Analysis, vol. 100, no. 1-2, pp. 21-39, 2016*

- Strichartz estimates without loss outside many strictly convex obstacles -
*2018, Submitted* - About the wave equation outside two strictly convex obstacles -
*accepted in Communications in PDE* - Strichartz estimates without loss outside two strictly convex obstacles -
*2017, Submitted*