Computational Performance of a Weighted Regularized Maxwell Equation Finite Element Formulation

Abstract

Abstract-The aim of this work is to asses the computational performance of a finite element formulation based on nodal elements and the regularized Maxwell equations. We analyze the memory requirements and the condition number of the matrix when the formulation is applied to electromagnetic engineering problems. As a reference, we solve the same problems with the best known finite element formulation based on edge elements and the double curl Maxwell equations. Finally, we compare and discuss the computational efficiency of both approaches.

A frequency domain approach for computing the Lorentz force in electromagnetic metal forming

“…In this work, we employ an in-house code called ERMES [23,25]. This computational tool is the C++ implementation of the FEM formulation explained in [22,27]. For more details and applications of ERMES see also [24,28,30].…”

“…We used the in-house code ERMES, but more efficient FEM software packages are available in the market and they can speed-up the computations. The computational performance of ERMES when applied to more complex geometries is shown in [24,27,28,30]. …”