References

ARS

Advances in Radio Science

ARS

Adv. Radio Sci.

1684-9973

Copernicus Publications

Göttingen, Germany

10.5194/ars-4-49-2006

Numerical simulation of transient electro-quasistatic fields using advanced subspace projection techniques

Steinmetz

¹ Wimmer

¹ Clemens

Chair for Theory of Electrical Engineering and Computational Electromagnetics, Helmut-Schmidt-University, University of the Federal Armed Forces Hamburg, P.O. Box 700822 D-22008 Hamburg, Germany

04 09 2006

4 49 53

2006

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The transient simulation of electro-quasistatic fields requires a formulation that takes both dielectric effects as well as nonlinear conductive effects into account. The successive solution of large linear systems of equations with similar or even identical system matrices has to be performed repeatedly if this formulation is discretized by the Finite-Element method and an Implicit-Runge-Kutta method, respectively. The solution processes can be accelerated by using subspace recycling techniques and subspace projection extrapolation techniques. Numerical results for three-dimensional high-voltage applications are presented and the efficiency of these techniques is shown.

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