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19 papers · 2 filters
On the stable estimation of flow geometry and wall shear stress from magnetic resonance images
Herbert Egger, Gabriel Teschner
We consider the stable reconstruction of flow geometry and wall shear stress from measurements obtained by magnetic resonance imaging. As noted in a review article by Petersson, mo…
Residual-type A Posteriori Estimators for a Singularly Perturbed Reaction-Diffusion Variational Inequality -- Reliability, Efficiency and Robustness
Mirjam Walloth
We derive a new residual-type a posteriori estimator for a singularly perturbed reaction-diffusion problem with obstacle constraints. It generalizes robust residual estimators for…
Multistep and Runge-Kutta convolution quadrature methods for coupled dynamical systems
Herbert Egger, Vsevolod Shashkov, Kersten Schmidt
We consider the efficient numerical solution of coupled dynamical systems, consisting of a small nonlinear part and a large linear time invariant part, possibly stemming from spati…
A Solution Set-Based Entropy Principle for Constitutive Modeling in Mechanics
J. Heß, A. F. Cheviakov
Entropy principles based on thermodynamic consistency requirements are widely used for constitutive modeling in continuum mechanics, providing physical constraints on a priori unkn…
Exploring Parallel-in-Time Approaches for Eddy Current Problems
Stephanie Friedhoff, Jens Hahne, Iryna Kulchytska-Ruchka +1
We consider the usage of parallel-in-time algorithms of the Parareal and multigrid-reduction-in-time (MGRIT) methodologies for the parallel-in-time solution of the eddy current pro…
A New Parareal Algorithm for Time-Periodic Problems with Discontinuous Inputs
Martin J. Gander, Iryna Kulchytska-Ruchka, Sebastian Schöps
The Parareal algorithm, which is related to multiple shooting, was introduced for solving evolution problems in a time-parallel manner. The algorithm was then extended to solve tim…