Efficient Implementation of the Domain-Integrated Field Relations Method for Quasi-Static Magnetic Fields.

摘要

An efficient implementation of the domain-integrated field relations approach to computing quasi-static magnetic fields is presented. It aims at combining the robustness of this method with a computationally efficient discretization technique. The magnetic field strength and the magnetic flux density are computed simultaneously. First-order Cartesian expansion functions, possibly associated with incomplete simplicial stars, are employed for the discretization of both field quantities. For demonstrating the efficiency and the robustness of the method, two two-dimensional field problems with known analytical solutions are solved. The method allows an accurate modeling of the field, even in the vicinity of points where singularities are present. The present implementation demonstrates the applicability of the domain-integrated field relations method for realistic configurations.