The paper deals with a fast computational method for discretized optimal shape design problems governed by 2–dimensional magnetostatics. We discretize the underlying state problem using linear Lagrange triangular finite elements and in the optimization we eliminate the state problem for each shape design. The shape to be optimized is the interface between the ferromagnetic and air domain. The n...

We introduce a cylindrical permanent magnet design that generates a homogeneous and strong magnetic field having an arbitrary inclination with respect to the axis of the cylinder. The analytical theory of 3 D magnetostatics has been applied to this problem, and a hybrid magnet structure has been designed. This structure contains two magnets producing a longitudinal and transverse component for ...

A new method for the introduction of periodic boundary conditions to the selfmagnetostatic (demagnetization) term in micromagnetic simulations is described, using an Ewaldlike summation method in real space. The long-range character of the dipolar interactions is included without any distance cutoffs. The accumulated errors are carefully monitored to provide easy control of the quality of the r...

Shielding properties of a cylindrical thick-walled ferrofluid layer that protects against externally applied uniform magnetic fields are numerically investigated. We take into account the diffusion nanoparticles in with dipole-dipole, steric and hydrodynamic interactions between particles. Permeability is considered to be dependent on magnetic-field strength particle concentration. A combined m...

The 3D Laplace equation is one of the important PDEs of physics and describes the phenomonology of electrostatics and magnetostatics. Frequently very precise solution of this PDE is required; but with conventional finite element or finite difference codes this is difficult to achieve because of the need for an exceedingly fine mesh which leads to often prohibitive CPU time. We present an altern...

The remagnetization dynamics of monolayer dot array superlattice XY 2-D spin model with dipole-dipole interactions is simulated. Within the proposed model of array, the square dots are described by the spatially modulated exchange-couplings. The dipole-dipole interactions are approximated by the hierarchical sums and spin dynamics is considered in regime of the LandauLifshitz equation. The simu...

Flexibility for interface engineering, and access to all-optical switching of the magnetization, make synthetic ferrimagnets an interesting candidate advanced opto-spintronic devices. Moreover, due their layered structure disordered interfaces they also bear promise emerging field graded magnetic materials. The fastest most efficient spin-orbit torque driven manipulation order in this material ...

Abstract Radia is a 3D magnetostatics code that widely used to model range of magnets for particle accelerators, with particularly broad usage within the synchrotron light source community. Recently, has been released as open and made available collaborative development on GitHub. A US DOE SBIR grant obtained its upgrade extension. The ongoing improvements are focused core physics engine, perfo...