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

Mario Mally, Rafael Vázquez, Sebastian Schöps

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.

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

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.

Paper Structure

This paper contains 7 sections, 16 equations, 1 figure.

Table of Contents

  1. Introduction
  2. Eddy Current Formulations
  3. Weak Problem
  4. Discrete Problem
  5. Domain Decomposition and Tree-Cotree Gauging
  6. Numerical Experiments
  7. Conclusion and Outlook

Figures (1)

  • Figure 1: Measurements for numerical experiments with PCG tolerance $\epsilon=10^{-6}$.