The compact form of the discontinuous Galerkin method allows for a detailed local analysis of the method in the neighborhood of the shock for a nonlinear model problem. Insight gained from the analysis leads to new ux formulas that are stable and that preserve the compactness of the method. Although developed for a model equation, the ux formulas are applicable to systems such as the Euler equa...

In the present study, free vibration behaviors of of carbon nanotube (CNT) and boron nitride nanotube (BNNT) have been investigated via Eringen’s nonlocal continuum theory. Size effect has been considered via nonlocal continuum theory. Nanotubes have become popular in the world of science thanks to their characteristic properties. In this study, free vibrations of Boron Nitride Nanotube (BNNT) ...

Article history: Received 9 August 2012 Received in revised form 12 December 2012 Accepted 24 January 2013 Available online 14 February 2013

We present the Galerkin boundary element method (BEM) for the numerical simulation of free-surface water waves in a model basin. In this work, as a rst step we consider the linearized model of this timedependent three-dimensional problem. After time discretization by an explicit Runge-Kutta scheme, the problem to be solved at each time step corresponds to the evaluation of a Dirichlet-to-Neuman...