Preprint 2025-11
Ramiro Acevedo, Rommel Bustinza, Christian Gómez:
A transient Eddy current problem via potential formulation with current excitation
Abstract:
The aim of this work is to propose a transient eddy current model that incorporates input current intensities. We extend the classical A, V-A potential formulation from the time-harmonic setting to the transient regime with nonlocal source conditions. We prove the existence and uniqueness of the solution to the corresponding continuous variational problem. Furthermore, we develop a fully discrete scheme based on the backward Euler method for time discretization and nodal finite elements for spatial approximation. The resulting discrete problem is shown to be well-posed, and optimal error estimates are derived. Numerical experiments are presented to validate our theoretical findings.
