A domain decomposition solver for ferromagnetism

We model ferromagnetic effects by using reduced scalar potential. An overlapping domain-decomposition technique is proposed to solve the underlying problem in unbounded domain. In the near-field, adjacent to the ferromagnetic object, we employ finite element discretization, while the far-field, going to infinity, is modelled through Green representation formulas. In this way, we circumvent the need to store and invert full matrices, which usually occur when using techniques based on boundary element method on fictitious boundary. We estimate the CPU and memory costs for our approach and compare its performance to other known techniques on a simple testcase.