Residual-based a posteriori error estimation for E-based formulation of a time-dependent eddy current problem

Abstract

We consider time-dependent eddy current problem formulated in terms of the electric field that is discretized by Nédélec finite elements in space and by the backward Euler scheme in time. We derive residual-based a posteriori error estimates in the energy norm augmented by temporal jumps in the numerical solution. The estimates are reliable and locally efficient in both time and space.