Index-2 elliptic partial differential-algebraic models for circuits and devices

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:423

Article

Ali, Giuseppe^1,2  Bartel, Andreas^1,3  Rotundo, Nella⁴ 

[1] Univ Calabria, Dipartimento Fis, I-87036 Arcavacata Di Rende, Italy

[2] INFN, Grp C Cosneza, I-87036 Arcavacata Di Rende, Italy

[3] Univ Gesamthsch Wuppertal, Appl Math & Numer Anal, D-42119 Wuppertal, Germany

[4] Weierstrass Inst Appl Anal & Stochat, D-10117 Berlin, Germany

关键词: RLC networks;    Semiconductors;    Steady-state drift-diffusion;    Coupled systems;    Elliptic partial differential-algebraic equations (PDAEs);    Index;   

DOI  :  10.1016/j.jmaa.2014.10.065

来源: Elsevier

【 摘 要 】

We consider an elliptic partial differential-algebraic model which arises in the modeling of an electric network that contains semiconductor devices. In this context, the electric network is described by linear differential-algebraic equations, while the semiconductor devices are described by nonlinear elliptic partial differential equations. The coupling takes place through the source term for the network equations and the boundary conditions for the device equations. Under the assumption that the fully coupled model has tractability index 2, we prove an existence result for this system. The extension of the notion of tractability index to a specific class of coupled systems is a further result of this paper. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free