Tree-Cotree-Based IETI-DP for Eddy Current Problems in Time-Domain

TL;DR

This paper introduces a new domain decomposition method based on tree-cotree structures for efficient time-domain eddy current simulations, aiming to reduce computational costs in low-frequency electromagnetic problems.

Contribution

It presents a novel tearing and interconnecting approach tailored for eddy current problems in the time domain, enhancing scalability and efficiency.

Findings

Demonstrates improved scalability of the proposed method.

Shows reduction in computational time for transient simulations.

Validates approach through numerical experiments.

Abstract

For low-frequency electromagnetic problems, where wave-propagation effects can be neglected, eddy current formulations are commonly used as a simplification of the full Maxwell's equations. In this setup, time-domain simulations, needed to capture transient startup responses or nonlinear behavior, are often computationally expensive. We propose a novel tearing and interconnecting approach for eddy currents in time-domain and investigate its scalability.