Residual based sampling in POD model order reduction of drift-diffusion equations in parametrized electrical networks

Link:
Autor/in:
Erscheinungsjahr:
2012
Medientyp:
Text
Schlagworte:
  • Differential-algebraic equations
  • Differential equations
  • Ordinary differential equations
  • Differential Equations
  • Ordinary Differential Equations
  • Runge Kutta Methods
  • Differential-algebraic equations
  • Differential equations
  • Ordinary differential equations
  • Differential Equations
  • Ordinary Differential Equations
  • Runge Kutta Methods
Beschreibung:
  • We consider integrated circuits with semiconductors modeled by modified nodal analysis and drift-diffusion equations. The drift-diffusion equations are discretized in space using mixed finite element method. This discretization yields a high dimensional differential-algebraic equation. We show how proper orthogonal decomposition (POD) 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.
Lizenz:
  • info:eu-repo/semantics/restrictedAccess
Quellsystem:
Forschungsinformationssystem der UHH

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oai:www.edit.fis.uni-hamburg.de:publications/ea213fcf-102c-4546-ae6f-7c8049a58dee