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Exploring Parallel-in-Time Approaches for Eddy Current Problems

2018/10/31 by Stephanie Friedhoff, Friedhoff, Stephanie, Jens Hahne +5
Engineering · Mathematics · #65L05 #65L20 #65L80 #65M12 #78M10 #Advanced Numerical Methods in Computational Mathematics #Computational Engineering #Electromagnetic Simulation and Numerical Methods #F.2.1 #FOS: Computer and information sciences #FOS: Mathematics #Finance #G.1.8 #J.6 #Numerical Analysis (math.NA) #Numerical methods for differential equations #and Science (cs.CE)

paper · pdf · doi:10.48550/arxiv.1810.13263

openalex publication_date 2018/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 problem. Via application of these methods to a two-dimensional model problem for a coaxial cable model, we show that a significant speedup can be achieved in comparison to sequential time stepping.

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