Survey on Semi-Explicit Time Integration of Eddy Current Problems

2017/09/20 by Jennifer Dutiné, Markus Clemens, Dutiné, Jennifer +3
Engineering · Mathematics · Physics and Astronomy · #65L80 #65N30 #78A30 #78M10 #Computational Engineering #Electromagnetic Simulation and Numerical Methods #FOS: Computer and information sciences #FOS: Mathematics #Finance #G.1.7 #G.1.8 #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods for differential equations #and Science (cs.CE)

paper · pdf · doi:10.48550/arxiv.1709.07068

openalex publication_date 2017/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The spatial discretization of the magnetic vector potential formulation of magnetoquasistatic field problems results in an infinitely stiff differential-algebraic equation system. It is transformed into a finitely stiff ordinary differential equation system by applying a generalized Schur complement. Applying the explicit Euler time integration scheme to this system results in a small maximum stable time step size. Fast computations are required in every time step to yield an acceptable overall simulation time. Several acceleration methods are presented.

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