Survey on Semi-Explicit Time Integration of Eddy Current Problems
For researchers and engineers simulating eddy current problems, this survey provides a review of acceleration techniques for semi-explicit time integration, but it is an incremental survey without new results or quantitative comparisons.
This survey addresses the stiffness in eddy current simulations by transforming the differential-algebraic system into an ordinary differential equation and applying explicit Euler time integration with acceleration methods to achieve acceptable simulation times.
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.