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We present several algorithms to compute invariant tori in a family of dynamical systems using a continuation strategy. The algorithms are based on the discretization of the graph transform. To circumvent two problems of the standard approach (which requires solving ordinary BVPs) we modify the discretized graph transform. This results in faster and more… (More)
We present a method that has been developed for the efficient numerical simulation of two-phase incompressible flows. For capturing the interface between the phases the level set technique is applied. The continuous model consists of the incompressible Navier–Stokes equations coupled with an advection equation for the level set function. The effect of… (More)
We consider saddle point problems that result from the finite element discretization of stationary and instationary Stokes equations. Three efficient iterative solvers for these problems are treated, namely the preconditioned CG method introduced by Bramble and Pasciak, the pre-conditioned MINRES method and a method due to Bank et al. We give a detailed… (More)
In order to speed-up the Navier-Stokes solver DROPS, which is developed at the IGPM (Institut für Geometrie und Praktische Mathe-matik) at the RWTH Aachen University, the most compute intense parts have been tuned and parallelized using OpenMP. The combination of the employed template programming techniques of the C++ programming language and the OpenMP… (More)
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