Finite boxes—A generalization of the finite-difference method suitable for semiconductor device simulation
- 1 September 1983
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Electron Devices
- Vol. 30 (9), 1070-1082
- https://doi.org/10.1109/t-ed.1983.21261
Abstract
A two-dimensional numerical device-simulation system is presented. A novel discretization scheme, called "finite boxes," allows an optimal grid-point allocation and can be applied to nonrectangular devices. The grid is generated automatically according to the specified device geometry. It is adapted automatically during the solution process by equidistributing a weight function which describes the local discretization error. A modified Newton method is used for solving the discretized nonlinear system. To achieve high flexibility the physical parameters can be defined by user-supplied models. This approach requires numerical calculation of parts of the coefficients of the Jacobian. Supplementary algorithms speed up convergence and inhibit the commonly known Newton overshoot. The advantages and computer resource savings of the new method are described by the simulation of a 100-V diode. We also present results for thyristor and GaAs MESFET simulations.Keywords
This publication has 13 references indexed in Scilit:
- Two Dimensional MOS-Transistor ModelingPublished by Springer Nature ,1983
- Carrier mobilities in silicon semi-empirically related to temperature, doping and injection levelSolid-State Electronics, 1981
- Power-limiting breakdown effects in GaAs MESFET'sIEEE Transactions on Electron Devices, 1981
- A Minimal Storage Implementation of the Minimum Degree AlgorithmSIAM Journal on Numerical Analysis, 1980
- Time-dependent carrier flow in a transistor structure under nonisothermal conditionsIEEE Transactions on Electron Devices, 1977
- Auger coefficients for highly doped and highly excited siliconApplied Physics Letters, 1977
- A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shootingNumerische Mathematik, 1974
- The Choice of Step Lengths When Using Differences to Approximate Jacobian MatricesIMA Journal of Applied Mathematics, 1974
- Large-signal analysis of a silicon Read diode oscillatorIEEE Transactions on Electron Devices, 1969
- On Solving Nonlinear Equations with a One-Parameter Operator ImbeddingSIAM Journal on Numerical Analysis, 1968