Elliptic partial differential-algebraic multiphysics models in electrical network design

G Alì, A Bartel, M Günther… - Mathematical Models and …, 2003 - World Scientific
Mathematical Models and Methods in Applied Sciences, 2003World Scientific
In refined network analysis, a compact network model is combined with distributed models
for semiconductor devices in a multiphysics approach. For linear RLC networks containing
diodes as distributed devices, we construct a mathematical model that combines the
differential-algebraic network equations of the circuit with elliptic boundary value problems
modeling the diodes. For this mixed initial-boundary value problem of partial differential-
algebraic equations a first existence result is given.
In refined network analysis, a compact network model is combined with distributed models for semiconductor devices in a multiphysics approach. For linear RLC networks containing diodes as distributed devices, we construct a mathematical model that combines the differential-algebraic network equations of the circuit with elliptic boundary value problems modeling the diodes. For this mixed initial-boundary value problem of partial differential-algebraic equations a first existence result is given.
World Scientific
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