Finite element time domain method using hexahedral elements

A fast algorism based on the finite element time domain method for solving Maxwell equations in this paper, The approach employs an explicit scheme with lumped mass in time integration to avoid solving the linear equations, We propose a new definition of the lumped mass matrix for hexahedral edge elements and arbitrary shape can he modeled without stair casing, Calculation results show that although the proposed method works well for brick elements in 3D problems and unstructured mesh in 2D, it is not appropriate in unstructured 3D mesh.