A RAPID, STABLE DECOUPLED ALGORITHM FOR SOLVING SEMICONDUCTOR HYDRODYNAMIC EQUATIONS

A rapid, stable decoupled algorithm for solving semiconductor hydrodyn amic equations is proposed. First, the Newton iterations to solve each set of equations are omitted. This causes no change in obtained solut ions nor in the block convergence. Second, in place of the exact Jacob ian matrix, a reduced Jacobian matrix is constructed and used to solve the energy balance equation. This reduced-Jacobian-matrix method is a pplied to two different hydrodynamic formulations and shown to be very effective, in both formulations, in accelerating the block convergenc e speed of the decoupled algorithm. The method provides an efficient v ersion of the decoupled algorithm, which is very simple and applicable to a large variety of hydrodynamic formulations.