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Humboldt-Universität zu Berlin - Mathematisch-Naturwissenschaftliche Fakultät - Institut für Mathematik

Preprint 2018-06

Christian Strohm and Caren Tischendorf

 

Coupled Electromagnetic Field and Electric Circuit Simulation: A Waveform Relaxation Benchmark.

 

Abstract: We consider coupled dynamical systems, arising from electric circuit cou- pled electromagnetic devices. The resulting subsystems are an ordinary differential equation reflecting the spatially discretized electromagnetic field equations, see [15] and a differential-algebraic equation describing the equations of a lumped circuit obtained by the modified nodal analysis, e. g. see [11]. Notice that the systems di- mension may easily reach millions of unknowns motivating the need of different methods such as the waveform relaxation method, see [12]. We discuss how to im- prove the convergence behavior in terms of Gauss-Seidel approach by changing the coupled system’s formulation. Tests show, that an acceleration of magnitudes can be reached.

 

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 2018-06

 

26 pp.