3D electrostatic field solution with dual mesh

Abstract

The paper presents an application of the "Finite formulation of electromagnetic field" to the analysis of electrostatic field. This new formulation proposes a direct expression of Maxwell laws in terms of global variables (fluxes, circulations, etc) and exploits duality present in these equations. In this way, it is well suited for the numerical solution of electromagnetic field and makes this process similar to the study of an electrical network. A field solver is thus implemented using tetrahedral elements and several comparisons versus analytical solutions are presented and discussed.