Numerical simulation of the magnetic moment distribution evolution for superparamagnetic materials

We present in this paper the high-order local discontinuous Galerkin method for solution to Fokker–Plank like equation for superparamagnetics on a sphere. We used the recursively constructed mesh on the sphere which consists of spherical triangles. In addition we provide the ordering of cells which increases the locality of data corresponding to mesh cells. Several test calculations were carried out. They proved the second order of the scheme. In addition, resonant properties of the system dor two different setups were calculated.