Efficient solvers for coupled Brown-Néel Fokker-Planck equations II

Solving the inverse problem in magnetic particle imaging (MPI) relies on efficient and accurate solutions to the forward model. In a previous work we proposed a numerical method for solving the convection-dominated Fokker-Planck equation arising from coupled Brownian and Néel relaxation mechanisms. Furthermore, this method tackles the parameter dependence coming from the potentially large number of physical parameter combinations. In this work, we present numerical results for the coupled problem using the joint angular-temporal discretization of this partial differential equation (PDE) and a reduced basis (RB) method for the parameter dependence.