On Domain Decomposition for Magnetostatic Problems in 3D

TL;DR

This paper extends a domain decomposition method for 3D magnetostatic simulations to support multi-patch subdomains, improving load-balancing, scalability, and flexibility for large-scale industrial applications.

Contribution

It introduces a multi-patch support extension to an existing domain decomposition algorithm, enabling better load distribution and scalability in 3D magnetostatic problem simulations.

Findings

Supports multi-patch subdomains for improved load balancing

Enhances scalability and flexibility of the simulation method

Facilitates large-scale industrial magnetostatic simulations

Abstract

The simulation of three dimensional magnetostatic problems plays an important role, for example when simulating synchronous electric machines. Building on prior work that developed a domain decomposition algorithm using isogeometric analysis, this paper extends the method to support subdomains composed of multiple patches. This extension enables load-balancing across available CPUs, facilitated by graph partitioning tools such as METIS. The proposed approach enhances scalability and flexibility, making it suitable for large-scale simulations in diverse industrial contexts.