4 papers
A Boundary Integral Method for Generalized Impedance Boundary Conditions in 2D
Jacob Linden, Travis Askham, Jeremy Hoskins
Generalized impedance boundary conditions for the Helmholtz equation arise in a number of acoustic and electromagnetic models that approximate boundary effects, including thin coat…
Surface layers and linearized water waves: a boundary integral equation framework
Travis Askham, Tristan Goodwill, Jeremy G Hoskins +2
The dynamics of surface waves traveling along the boundary of a liquid medium are changed by the presence of floating plates and membranes, contributing to a number of important ph…
Integral equations for flexural-gravity waves: analysis and numerical methods
Travis Askham, Jeremy G. Hoskins, Peter Nekrasov +1
In this work, we develop a fast and accurate method for the scattering of flexural-gravity waves by a thin plate of varying thickness overlying a fluid of infinite depth. This prob…
Boundary Integral Formulations for Flexural Wave Scattering in Thin Plates
Peter Nekrasov, Zhaosen Su, Travis Askham +1
In this paper, we develop second kind integral formulations for flexural wave scattering problems involving the clamped, supported, and free plate boundary conditions. While the cl…