Simulation of the hydrodynamic model of semiconductor devices by a finite element method Available to Purchase

Proposes a finite element method for numerical simulation of the hydrodynamic model of semiconductor devices. Presents some scaling factors and a variational formulation. Uses the P₁ ‐ isoP₂ element to discretize this formulation and the GMRES (Generalized Minimum RESidual) algorithm to solve the associated non‐linear system. Proposes an artificial viscous term to stabilize the non‐linear system. Gives a choice for an initial solution. Presents the numerical solutions for n⁺ ‐ n ‐ n⁺ diodes and 0.25μm gate length Si MESFETs. Calculates a shock wave at 300K. Observes velocity overshoot phenomenon and the effect of heat conduction term.