DYNAMIC ITERATION FOR COUPLED PROBLEMS OF ELECTRIC CIRCUITS AND DISTRIBUTED DEVICES

作者：Bartel Andreas^*; Brunk Markus; Guenther Michael; Schoeps Sebastian

来源：SIAM Journal on Scientific Computing, 2013, 35(2): B315-B335.

DOI：10.1137/120867111

• dynamic iteration
• co-simulation
• mixed mode simulation
• partial differential-algebraic equations
• coupling
• electric circuit simulation

Coupled systems of differential-algebraic equations (DAEs) may suffer from instabilities during a dynamic iteration. We extend the existing analysis on recursion estimates, error propagation, and stability to (semiexplicit) index-1 DAEs. In this context, we discuss the influence of certain coupling structures and the computational sequence of the subsystems on the rate of convergence. Furthermore, we investigate in detail convergence and divergence for two coupled problems stemming from refined electric circuit simulation. These are the semiconductor-circuit and field-circuit couplings. We quantify the convergence rate and behavior also using Lipschitz constants and suggest an enhanced modeling of the coupling interface in order to improve convergence.

• 出版日期2013