# Parallel-In-Time Simulation of Eddy Current Problems Using Parareal

## TL;DR

This paper presents a novel application of the Parareal method for parallel-in-time simulation of eddy current problems, addressing differential algebraic challenges and demonstrating its effectiveness on a realistic induction machine model.

## Contribution

It adapts the Parareal method to eddy current problems with differential algebraic equations, enabling efficient time-parallel simulations.

## Key findings

- Successful adaptation of Parareal for eddy current problems
- Automatic incorporation of differential algebraic constraints
- First demonstration on a realistic induction machine model

## Abstract

In this contribution the usage of the Parareal method is proposed for the time-parallel solution of the eddy current problem. The method is adapted to the particular challenges of the problem that are related to the differential algebraic character due to non-conducting regions. It is shown how the necessary modification can be automatically incorporated by using a suitable time stepping method. The paper closes with a first demonstration of a simulation of a realistic four-pole induction machine model using Parareal.