Finite element modelling of surface waves in a channel

On Nonlinear Water Waves in a Channel

A Dynamic Finite Element Surface

This paper presents a physics-based approach to anatomical surface segmentation, reconstruction, and tracking in multidimensional medical images. The approach makes use of a dynamic \balloon" model|a spherical thin-plate under tension surface spline which deforms elastically to t the image data. The tting process is mediated by internal forces stemming from the elastic properties of the spline ...

Finite-Element Modelling of Biotransistors

Current research efforts in biosensor design attempt to integrate biochemical assays with semiconductor substrates and microfluidic assemblies to realize fully integrated lab-on-chip devices. The DNA biotransistor (BioFET) is an example of such a device. The process of chemical modification of the FET and attachment of linker and probe molecules is a statistical process that can result in varia...

The Deterministic Generation of Extreme Surface Water Waves Based on Soliton on Finite Background in Laboratory

This paper aims to describe a deterministic generation of extreme waves in a typical towing tank. Such a generation involves an input signal to be provided at the wave maker in such a way that at a certain position in the wave tank, say at a position of a tested object, a large amplitude wave emerges. For the purpose, we consider a model called a spatial-NLS describing the spatial propagation o...

Finite Element Approximations of Nonlinear Elastic Waves

In this paper we study finite element methods for a class of problems of nonlinear elastodynamics. We discretize the equations in space using Galerkin methods. For the temporal discretization, the construction of our schemes is based on rational approximations of cosx and ex . We analyze semidiscrete as well as secondand fourth-order accurate in time fully discrete methods for the approximation...