It is imperative that bioacousticians who work in aquatic environments have a basic
understanding of sound propagation under water. Whether the topic is the function of …

A time-domain Legendre spectral-element method is described for full-wave simulation of
ocean acoustics models, ie, coupled fluid-solid problems in unbounded or semi-infinite …

Sound propagation predictions for ice-covered ocean acoustic environments do not match
observational data: received levels in nature are less than expected, suggesting that the …

We present an almost optimal error estimate for the finite element solution of a nonlinear
parabolic interface problem, where the coefficient depends on the unknown variable and is …

Measurements of low-frequency sound propagation over the areas of the Australian
continental shelf, where the bottom sediments consist primarily of calcarenite, have revealed …

Due to the topographic fluctuation and changeable composition of the seabed, it has a vital
impact on the sound propagation trajectory and attenuation in the ocean. Based on the …

In this paper, two-grid immersed finite element (IFE) algorithms are proposed and analyzed
for semi-linear interface problems with discontinuous diffusion coefficients in two dimension …

In this paper, a stepwise coupled-mode model with the use of the direct global matrix
approach is proposed. This method is capable of handling two-dimensional problems with …

In this paper, we propose and analyze the two-grid immersed finite element methods for
semi-linear parabolic interface problems with discontinuous diffusion coefficients. The …

The article proposes and analyzes the optimal error estimates of a second-order backward
difference formula (BDF2) numerical scheme for the semi-linear parabolic interface …