Michael Siegel: Analysis and computations of the initial value problem for hydroelastic waves

The hydroelastic problem describes the evolution of a thin elastic membrane in potential flow. It arises in many applications, including the dynamics of flapping flags and ice sheets in the ocean. An efficient, nonstiff boundary integral method for the 3D hydroelastic problem is presented. The stiffness is removed by a small-scale decomposition, following prior work on 2D interfacial flow with surface tension. A convergence proof for a version the numerical method will be discussed.