A new preconditioner for CGS iteration in solving large sparse nonsymmetric linear equations in semiconductor device simulation

Author

Zhao, Zhong-Yi ; Zhang, Qi-Ming ; Tan, Gen-Lin ; Xu, J.M.

Author_Institution

Dept. of Electr. Eng., Beijing Polytech. Univ., China

Volume

10

Issue

11

fYear

1991

fDate

11/1/1991 12:00:00 AM

Firstpage

1432

Lastpage

1440

Abstract

The authors present a new and efficient precondition method (ILUV-CGS), which is an incomplete LU (ILU) factorization by value instead of a sparse nonzero pattern, in conjunction with CGS iteration for solving nonsymmetric linear equations in finite-element simulation of semiconductor devices. To demonstrate the efficiency of this method, the simulations of a group of representative devices with different numerical characteristics have been carried out using the ILUV-CGS algorithm, and these are compared with those of the existing ILU-CGS method. The comparison results are in favor of using the ILUV=CGS method

Keywords

digital simulation; electronic engineering computing; equations; finite element analysis; iterative methods; semiconductor device models; CGS iteration; ILUV-CGS algorithm; LU factorisation; finite-element simulation; large sparse equations; nonsymmetric linear equations; preconditioner; semiconductor device simulation; Character generation; Charge carriers; Convergence; Councils; Finite element methods; Lead compounds; Linear systems; Poisson equations; Semiconductor devices; Thermal conductivity;

fLanguage

English

Journal_Title

Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0278-0070

Type

jour

DOI

10.1109/43.97622

Filename

97622