Ever with the work of Kaluza, it has been known that 4D Einstein- and Maxwell-type equations emerge from for 5D gravity, in Ricci-flat space-times having a space-like Killing vector. We revisit these compare them Maxwell Ohm’s law. Although gravity traditional electromagnetic theory are mathematically related, paradigm shift concepts is required unification. First, both law found among field wh...

Synthetic ferrimagnets are an attractive material class for spintronics as they provide access to all-optical switching of magnetization and, at the same time, allow ultrafast domain wall motion angular momentum compensation. In this work, we systematically study effects strain on perpendicular magnetic anisotropy and compensation Co/Gd Co/Gd/Co/Gd synthetic ferrimagnets. First, spin reorientat...

Optimization using finite element analysis and the adjoint variable method to solve engineering problems appears in various application areas. However, best of authors’ knowledge, there is a lack detailed explanation on implementation context electromagnetic modeling. This paper aimed provide simplest possible general framework. Then, an extended offered electromagnetism. A discrete design meth...

The equivalence of the Ampere and Biot-Savart force laws in magnetostatics is examined by considering the difference in the forces predicted by the two laws. The conditions under which this force difference vanishes are discussed, with special reference to the question of convergence of the integrals involved. The conclusions are that a complete current distribution exerts forces, which are the...

In this paper we propose a method for constrained shape optimization governed with a nonlinear axisymmetric magnetostatic state problem and we apply it to an optimal shape design of an electromagnet. The state problem is solved via Hiptmair’s symmetric coupling of finite elements employed in the interior ferromagnetic domain and boundary elements modelling the exterior air domain as well as cur...

In this work, we develop a discretisation method for the mixed formulation of magnetostatic problem supporting arbitrary orders and polyhedral meshes. The is based on global discrete de Rham (DDR) sequence, obtained by patching local spaces constructed in [Di Pietro, Droniou, Rapetti, Fully polynomial sequences degree polygons polyhedra, arXiv:1911.03616] enforcing single-valuedness components ...

We introduce a new type of object characterization, which is capable accurately describing small isolated inclusions for potential field inverse problems such as in electrostatics, magnetostatics, and related low frequency Maxwell problems. Relevant applications include characterizing ferrous unexploded ordnance from magnetostatic measurements magnetometry, conducting medical imaging using elec...