2017-12-04

Waveform Relaxation on Circuit Differential-Algebraic Equations: A Topological Convergence Criterion

Jonas Pade, M.Sc., Humboldt-University of Berlin

18 Dec 2017, 16:15–17:45; Location: S2|17-103

While waveform relaxation methods converge for coupled ODE systems, they may suffer from instabilities for coupled differential-algebraic equations (DAEs). Whereas several convergence criteria are known for index-1 DAEs, we present here a convergence criterion for quasilinear index-2 DAEs for the first time. It applies to systems of coupled ODE/circuit systems. Such systems appear in co-simulation approaches for coupled EM/circuit simulation. Under certain coupling assumptions, we can give a topological interpretation to the convergence criterion.

 

Category: CE Seminar

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