Martin Schanz

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An efficient scheme for solving boundary integral equations of the heat equation based on the Galerkin method is introduced. The parabolic fast multipole method (pFMM) is applied to accelerate the evaluation of the thermal layer potentials. In order to remain attractive for a wide range of applications, a key issue is to ensure efficiency for a big variety(More)
Detailed numerical investigations of the model system of an electronic phase-locked loop 1] demonstrate examplarily that time-delayed nonlinear systems reveal a rich dynamical behaviour. With phase portraits, Fourier analysis and Lyapunov spectra it is possible to analyze the scaling properties of the control parameter in the period-doubling scenario, both(More)
Recently, a new high energy proton microscopy facility PRIOR (Proton Microscope for FAIR Facility for Anti-proton and Ion Research) has been designed, constructed, and successfully commissioned at GSI Helmholtzzentrum für Schwerionenforschung (Darmstadt, Germany). As a result of the experiments with 3.5-4.5 GeV proton beams delivered by the heavy ion(More)
Assuming a geometrically linear description (small displacements and small deformation gradients) and linear constitutive equations (Hooke’s law) the governing equations are derived for two poroelastic theories, Biot’s theory (BT) and the Theory of Porous Media (TPM – mixture theory extended by the concept of volume fractions). In both cases, the solid(More)
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