A theoretical model based on linear potential flow theory and an eigenfunction matching
method is developed to analyse the hydroelastic interaction between water waves and …

Bragg scattering of long gravity waves by an array of floating elastic plates in the presence of
a series of rectangular trenches is studied under the assumption of linearized water wave …

An efficient mathematical model is presented for predicting the transfer of ocean waves to
ice shelf flexure along two‐dimensional transects. The model incorporates varying ice shelf …

A solution method is developed for a linear model of ice shelf flexural vibrations in response
to ocean waves, in which the ice shelf thickness and seabed beneath the ice shelf vary over …

The problem of ice shelf vibrations forced by incident waves from the open ocean is
considered, using a linear hydroelastic model involving combined thin-plate and potential …

A variational principle is proposed to derive the governing equations for the problem of
ocean wave interactions with a floating ice shelf, where the ice shelf is modelled by the full …

A mathematical model for predicting the vibrations of ice-shelves based on linear elasticity
for the ice-shelf motion and potential flow for the fluid motion is developed. No simplifying …

This work presents an investigation of ice shelf vibration using a model based on shallow
water approximation. The study focused on the effect of changes in the draft on the vibration …

The article introduces a novel integrated moving element method (IMEM) to hydroelastic
analysis of infinitely extended floating plates under moving loads in shallow water …

We introduce an energy stable, high-order-accurate finite difference approximation of the
dynamic, pure bending Kirchhoff plate equations for complex geometries and spatially …