Elliptic partial differential-algebraic multiphysics models in electrical network design

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.