THEORY AND METHOD OF ELIMINATING NUMERICAL OSCILLATION OF DIFFUSION-DRIFT EQUATION

I. INTRODUCTIONThe classical model of semiconductor device is a convection-diffusion one. When the convective term (or drift term) dominates over the diffusive one, wiggles will appear in the numerical solution if one uses classical finite element method, finite difference method or finite box method. The phenomenon is caused by the "negative diffusion" arising from the numerical discretization method. In order to control wiggles and improve the accuracy of the humeri-