PDAE models of integrated circuits and index analysis

被引：13

作者：

Bodestedt, Martin ^{[1
]}

Tischendorf, Caren ^{[1
]}

机构：

[1] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

来源：

MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS | 2007年 / 13卷 / 01期

关键词：

semiconductor; partial differential algebraic equation; index analysis; coupled system;

D O I：

10.1080/13873950600557329

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A coupled system modelling an electric circuit containing semiconductors is presented. The modified nodal analysis leads to a differential algebraic equation ( DAE) describing the electric network. The nonlinear behaviour of the semiconductors is modelled by the drift diffusion equations. Coupling relations are defined and a generalization of the tractability index to systems of infinite dimensions is presented and applied to the resulting partial differential algebraic equation (PDAE). The PDAE turns out to have the same index as the electrical network equations.

引用

页码：1 / 17

页数：17

共 20 条

[1] Elliptic partial differential-algebraic multiphysics models in electrical network design [J].

Alì, G ;

Bartel, A ;

Günther, M ;

Tischendorf, C .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2003, 13 (09) :1261-1278

[2]

BARTEL A, 2003, 4 MATHMOD VIENN AUST

[3]

FELDMAN U, 1993, DAE INDEX ELECT CIRC

[4] NUMERICAL-SOLUTION OF DIFFERENTIAL-ALGEBRAIC EQUATIONS FOR CONSTRAINED MECHANICAL MOTION [J].

FUHRER, C ;

LEIMKUHLER, BJ .

NUMERISCHE MATHEMATIK, 1991, 59 (01) :55-69

[5]

HARIER E, 1989, SOLVING ORDINARY DIF

[6] Stability preserving integration of index-1 DAEs [J].

Higueras, I ;

März, R ;

Tischendorf, C .

APPLIED NUMERICAL MATHEMATICS, 2003, 45 (2-3) :175-200

[7]

Higueras I, 2003, APPL NUMER MATH, V45, P201, DOI 10.1016/S0168-9274(02)00216-7

[8]

LAMOUR R, 2001, PDAES FURTHER MIXED

[9]

Markowich P. A., 1986, STATIONARY SEMICONDU, DOI [DOI 10.1007/978, 10.1007/978-3-7091-3678-2]

[10]

März R, 2003, INT SER NUMER MATH, V146, P135

← 1 2 →