Michael Günther

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Coupled systems of differential-algebraic equations (DAEs) may suffer from insta-bilities during a dynamic iteration. For a general dynamic iteration, we extend the existing analysis on recursion estimates, error transport and stability to a general DAE setting. In this context, we discuss the influence of certain coupling structures and the computational(More)
In this paper we focus on incorporating a stochastic collocation method (SCM) into a topology optimization for a power semiconductor device with both material and geometrical uncertainties. Such geometrical and material variations, which result predominantly from lithography proximity and process imperfections, have a direct impact on its yield and(More)
Background: With the recent advent of inductive charging systems all major automotive manufacturers develop concepts to wirelessly charge electric vehicles. Efficient designs require virtual prototyping that accounts for electromagnetic and thermal fields. The coupled simulations can be computationally very costly. This is because of the high frequencies in(More)
" Multirate generalized additive Runge Kutta methods " Abstract. This work constructs a new class of multirate schemes based on the recently developed generalized additive Runge-Kutta (GARK) methods [10]. Multirate schemes use different step sizes for different components and for different partitions of the right-hand side based on the local activity(More)