Finite element implementation of Bayliss-Turkel boundary operators in the three-dimensional vector wave equation

The finite element solution of the vector Helmholtz equation is more difficult than that of the scalar one. Absorbing boundary conditions (ABCs) that were developed earlier for the vector wave equation were complex. In this work we develop a series of simple operators for the finite element solution of the three-dimensional vector wave equation. Unlike the methodologies adopted earlier namely that of developing operators by manipulating the vector field and thus obtaining boundary conditions that involve the vector field itself we develop operators that can be applied on the scalar field components of the vector field.