The Finite Difference Solution of Two- and Three-Dimensional Semiconductor Problems on the Connection Machine

A study of the finite difSerence solution of the nonlinear partial differential equations governing twoand three-dimensional semiconductor devices is conducted on a SIMD computer. This nonlinear system is solved using Jacobi iteration and successive-under-relaxation. Row scaling and a zero order regularizer are used to aid in convergence. On a 16K CM-2 problems with up to 16.7 million unknowns have been solved. Problems of this size have not previously been reported. The ability to accurately model larger and more realistic three-dimensional devices is necessary to gain a greater physical understanding of their behavior.