POD model order reduction of drift-diffusion equations in electrical networks

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Autor/in:
Erscheinungsjahr:
2011
Medientyp:
Text
Schlagworte:
  • Differential-algebraic equations
  • Differential equations
  • Ordinary differential equations
  • Differential Equations
  • Ordinary Differential Equations
  • Runge Kutta Methods
  • Integrated Circuits
  • Mixed Finite Element Methods
  • Reduced Basis Methods
  • Drift-Diffusion Equations
  • Model Order Reduction
  • Differential-algebraic equations
  • Differential equations
  • Ordinary differential equations
  • Differential Equations
  • Ordinary Differential Equations
  • Runge Kutta Methods
Beschreibung:
  • We consider integrated circuits with semiconductors modelled by modified nodal analysis and 1D drift-diffusion equations. The drift-diffusion equations are discretized in space using finite element methods. The space discretization yields a high dimensional differential-algebraic equation. We show how POD methods can be used to reduce the dimension of the model. We compare reduced and fine models and give numerical results for a basic network with one diode. Furthermore we discuss an adaptive approach to construct POD models which are valid over certain parameter ranges. Finally, numerical investigations for the reduction of a 4-diode rectifier network are presented, which clearly indicate that POD model reduction delivers surrogate models for the diodes involved, which depend on the position of the semiconductor in the network. © 2011 Springer Science+Business Media B.V.
Lizenz:
  • info:eu-repo/semantics/restrictedAccess
Quellsystem:
Forschungsinformationssystem der UHH
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oai:www.edit.fis.uni-hamburg.de:publications/7c5aef8c-e9df-4d04-861b-91676d7e3705