We recently proposed a new Parareal algorithm for problems with discontinuous sources which are common in electrical engineering, e.g., when an electric device is supplied with a pulse-width-modulated signal. Our algorithm uses a smooth input for the coarse problem with reduced dynamics. In the new arXiv preprint 1803.05503
preprint an error estimates is derived that shows how the input reduction influences the overall convergence rate of the algorithm. The theoretical results are supported by numerical experiments, including an eddy current simulation of an induction machine.
Die technische Universität Darmstadt hat eine Pressemitteilung zu PASIROM
veröffentlicht: Forschungsprojekt von Universitäten und Industriepartnern gestartet. Mit mathematischen Methoden das optimale Design für Energiewandler finden: Dieser Aufgabe widmet sich das gerade gestartete Forschungsprojekt PASIROM, an dem drei Universitäten und zwei Anwendungspartner beteiligt sind. Continue reading →
Dr. Robert Speck, Forschungszentrum Juelich talks on 30 Jan 2017, 16:15–17:45 in S2|17-103 on Parallel-in-Time Integration with PFASST: For time-dependent partial differential equations, parallel-in-time integration using the “parallel full approximation scheme in space and time” (PFASST) is a promising way to accelerate existing space-parallel approaches beyond their scaling limits. Inspired by the classical Parareal method and non-linear multigrid ideas, PFASST allows to integrate … Continue reading →
URSI Commission B’s International Symposium on Electromagnetic Theory (EMTS 2016) has been held from 14–18 August 2016 in Espoo, Finland. We presented in the Session of numerical time domain methods on Monday the contribution “An Application of ParaExp to Electromagnetic Wave Problems” (Melina Merkel, Innocent Niyonzima and Sebastian Schöps).
On Friday, July 1st Michal Maciejewski
from CERN and Lodz University of Technology is visiting Computational Engineering at TU Darmstadt in the framework of the STEAM (“Simulation of Transient Effects in Accelerator Magnets”) cooperation, see e.g. this presentation
. The aim of this project is the accurate prediction of quenches
The contribution “An Application of ParaExp to Electromagnetic Wave Problems” (authors: Melina Merkel, Innocent Niyonzima et al.) has won one of the Young Scientist Awards
of the International Symposium on Electromagnetic Theory (EMTS 2016) organized by the URSI Commission B. Melina’s presentation will be given in the session of Numerical Time Domain Methods
Compumag 2009 Plenary
I attended the Compumag 2009
in Florianópolis supported by a travel grant from the DAAD
(German Academic Exchange Service). At the conference I showed a nice application of my latest research on co-simulation (together with Andreas Bartel and Herbert De Gersem). The theory is based on the work of Arnold/Günther: “Preconditioned dynamic iteration for coupled differential-algebraic systems
” published in BIT Numerical Mathematics
The given application is a multirate framework for the efficient simulation of field/circuit coupled problems. Within this framework, a guarantee for convergence and stability was given by PDAE analysis. It was shown that different time step sizes in different parts of the model can be automatically chosen according to the problem’s dynamics. Finally a finite element model of a transformer coupled to a circuit was given to illustrate the efficiency of the multirate method.
The talk was awarded with a COMPUMAG best paper commendation.