ABSTRACT

The first step in finite element method (FEM) application is selecting the type of formulation: two dimensional or three dimensional. This chapter focuses on the two-dimensional finite element method (2D-FEM) by discussing magnetodynamics in sinusoidal time-dependent steady state and magnetodynamics in transient regime. It looks into high-frequency electromagnetic phenomena, also called fast, time-dependent electromagnetic fields regime. The chapter makes a short incursion into the mathematical formulation of the three-dimensional (3D)-FEM in studies on 3D electrostatics and 3D electrokinetics. It discusses how to impose the constraints in boundary conditions, including dirichlet conditions, Neumann conditions, periodicity conditions, and floating conditions. These boundary conditions cover almost all constraints to the fields in electric devices.