A general finite element framework for the application to different types of phase transforming alloys and under general thermo-mechanical loadings is presented. The developed technique is exemplified on cubic to tetragonal transformations of shape memory alloys.

The quasi-hydrodynamic model for semiconductor devices is a typical example of non-local models which, in contrast to the conventional drift-diffusion models, allows to account for non-equilibrium processes in semiconductor plasma. In this paper, we present results of a numerical simulation of...

Nanowire superlattices (NWSLs) are objects with a wide range of potential applications in nanoscale electronics and photonics. These objects are already grown experimentally in laboratories and studies of their properties represent an important task in nanotechnology research. Tools of...

The study of deterministic and stochastic dynamic problems in control theory can be reduced to partial differential equations by using Bellman's approach. The resulting PDE-based mathematical models are difficult to solve numerically, and most existing approaches cannot provide accuracy expected...

The dynamics of phase transitions and hysteresis phenomena in materials with memory is described by a strongly nonlinear coupled system of partial differential equations which, in its generality, can be solved only numerically. Following principles of extended thermodynamics, in this paper we...