5 papers
On Sampling Methods for Inverse Biharmonic Scattering Problems in Supported Plates
Carlos Borges, Rafael Ceja Ayala, Peter Nekrasov
We study the inverse problem of qualitatively recovering a supported cavity in a thin elastic plate governed by the flexural (biharmonic) wave equation, using far-field pattern mea…
Integral equations for flexural scattering problems with periodic boundaries
Fruzsina Agocs, Tristan Goodwill, Jeremy G. Hoskins +1
We develop a method for computing the scattering of flexural waves off of a periodic wall or a periodic line of scatterers. These waves model the fluctuations of thin plates with p…
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…
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…
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…