Discrete models have numerous subclassifications, but they all assume that the constituent grains are distinct and move according to prescribed rules. Examples of discrete models include Monte Carlo ...

In this paper, some discrete-time finite element methods for nonlinear hyperbolic equations are derived and their theoretical analysis is given. The stability and the convergence of the finite element ...

This paper is concerned with the finite element method for the stochastic wave equation and the stochastic elastic equation driven by space-time white noise. For simplicity, we rewrite the two types ...

Verifying equipment design to improve performance and reduce production risks. Analyzing the flow of particles to optimize the performance of bulk solids handling and processing equipment. Altair’s ...