Magnetic field simulations using explicit time integration with higher order schemes

Purpose A transient magneto-quasistatic vector potential formulation involving nonlinear material is spatially discretized using the finite element method of first and second polynomial order. By applying a generalized Schur complement resulting system differential algebraic equations reformulated into ordinary (ODE). The ODE integrated in time by explicit integration schemes. purpose this paper to investigate for eddy current problems with respect performance first-order Euler scheme Runge-Kutta-Chebyshev (RKC) higher Design/methodology/approach scheme, which conditionally stable maximum step size. To overcome limit, an multistage RKC order used enlarge Both methods are compared regarding overall computational effort. Findings numerical simulations show that finer spatial discretization forces smaller sizes. In comparison provides larger sizes diminish computation time. Originality/value accelerated method.