An Existence Result for Index-2 PDAE System Arising in Semiconductor Modeling

  • Giuseppe Alì
  • Andreas Bartel
  • Nella Rotundo
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 17)


We consider an electric network modeled via Modified Nodal Analysis, which is refined by a nonlinear multi-dimensional elliptic partial differential equations as semiconductor device model. This coupled system is a partial differential-algebraic equation. Starting from an analysis of the pure network equations (without semiconductor) and its index-2 conditions, we propose additional conditions which assure that coupled system is index-2. Then we proof an existence result for the coupled system.


Existence Result Circuit Simulation Nodal Analysis Drift Diffusion Semiconductor Modeling 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Giuseppe Alì
    • 1
    • 2
  • Andreas Bartel
    • 3
  • Nella Rotundo
    • 2
    • 4
  1. 1.Dipartimento di MatematicaUniversità della CalabriaCosenzaItaly
  2. 2.INFN, Gruppo collegato di CosenzaCosenzaItaly
  3. 3.Bergische Universität WuppertalWuppertalGermany
  4. 4.Università di CataniaCataniaItaly

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