6.3.3 Transient Simulation

To perform the transient potential distribution the time varying term $\partial t$ is included in (6.2), which becomes

$$div(\gamma_E~grad~\varphi+ \underline{\varepsilon}~grad~\frac{\partial \varphi}{\partial t})=0.$$ (6.3)

In order to optimize the simulation speed the implemented algorithm uses daptive time-step control.