Fast algorithm for iteratively solving the nonlinear static Poisson equation in semiconductors
- 1 June 1987
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 61 (11) , 5189-5190
- https://doi.org/10.1063/1.338298
Abstract
The method for iteratively solving the nonlinear static Poisson equation in semiconductors is based on a recent paper of Mayergoyz [J. Appl. Phys. 59, 195 (1986)]. It is the most efficient in computer time. All the advantages of his method, especially low memory requirement and applicability to 1-, 2-, and 3- dimensional problems are also valid for that presented here. A decrease of computer time by more than a factor of 2 without loss of accuracy of the final result is achieved mainly by decreasing the accuracy of a single step of iteration.This publication has 2 references indexed in Scilit:
- Solution of the nonlinear Poisson equation of semiconductor device theoryJournal of Applied Physics, 1986
- The Direct Solution of the Discrete Poisson Equation on Irregular RegionsSIAM Journal on Numerical Analysis, 1971