Error analysis of the FEM calculations depending on the mesh density [ ]

Paper presents analyses of the FEM modeling error in the function of the mesh density. Tests were conducted on open-source FEM software, which allows magnetodynamics modeling with the utilization of Whitney elements to solve Maxwell’s equations. Simulations was based on modeling of magnetic flux distribution around the Helmholtz coils setup, which allowed to compare modeling result with analytical solution of magnetic flux value in the midpoint of the setup. Modeling was conducted on a typical model of Helmholtz coils with different mesh densities. Results confirmed that generally denser mesh resulted with lower modeling error, but the correlation was non-linear. Also, utilization of a mesh with premade parameters resulted with similar error like high density meshes with fixed element size.