Numerical study of the quantum euler-poisson model Original Research Article

A numerical study of the isothermal quantum Euler-Poisson model for potential flow is presented. The stationary model consists of nonlinear elliptic equations of degenerate type with quadratic growth in the gradient. The equations are decoupled in a Gummel-type manner and convergence of this scheme is proven for small applied voltages. Numerical simulations of a resonant tunneling structure are presented and the zero relaxation time limit is performed numerically.