We study the numerical approximation of a flow problem governed by a viscoelastic model coupled with a one-dimensional elastic structure equation. A variational formulation for flow equations is developed based on the Arbitrary Lagrangian-Eulerian (ALE) method and stability of the time discretized system is investigated. For decoupled numerical algorithms we consider both an explicit scheme of ...

In this paper we develop a fully explicit cut finite element method for the wave equation. The is based on using standard leap frog scheme combined with an extension operator that defines nodal values outside of domain in terms inside domain. We show mass matrix associated extended space can be lumped leading to scheme. derive stability estimates and provide optimal order priori error estimates...

Recent advances in wireless computer networking have led to huge commercial success and very low pricing for broadband networks. While these networks are thought of as mainly for offices, they have been shown to be a practical means for providing broadband access to even the most remote areas at very low prices. They thus offer developing countries with an opportunity to “leap-frog” over wire l...

attributes that can be seen as equivalent to the semantic primitives except that these abstract attributes do not automatically receive names similar to those that can be found in manually created semantic primitive collections. In order to clarify this analogy it is feasible to make an example for the word leap. Apart from the initial attributes like ‘frog’ and ‘leg’ that will emerge from an i...

Existing Photometric Stereo methods provide reasonable surface reconstructions unless the irradiance image is corrupted with noise and effects of digitisation. However, in real world situations the measured image is almost always corrupted, so an efficient method must be formulated to denoise the data. Once noise is added at the level of the images the noisy Photometric Stereo problem with a le...