Abstract
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 differentialalgebraic 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 nonstandard application of Schauder’s fixed point theorem.
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Alì, G. (2004). Electrical RLC Networks and Semiconductor Devices. In: Schilders, W.H.A., ter Maten, E.J.W., Houben, S.H.M.J. (eds) Scientific Computing in Electrical Engineering. Mathematics in Industry, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55872-6_6
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DOI: https://doi.org/10.1007/978-3-642-55872-6_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-21372-7
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