Electrical RLC Networks and Semiconductor Devices

In refined network analysis, a compact network model is combined with drift-diffusion models for the semiconductor devices which are part of the network, 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 modelling the diodes. For this mixed initial-boundary value problem of partial differential-algebraic equations a first existence result is given, based on a non-standard application of Schauder's fixed point theorem.