Title :
Finite element implementation of Bayliss-Turkel boundary operators in the three-dimensional vector wave equation
Author_Institution :
Compaq Comput. Corp., Maynard, MA, USA
Abstract :
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.
Keywords :
Helmholtz equations; electromagnetic wave absorption; finite element analysis; mathematical operators; 3D vector wave equation; Bayliss-Turkel boundary operators; EM fields; EM wave absorption; absorbing boundary conditions; boundary conditions; finite element implementation; finite element solution; scalar field components; vector Helmholtz equation; vector field; Boundary conditions; Computational efficiency; Convergence; Finite element methods; Partial differential equations; Perfectly matched layers; Performance analysis; Scattering;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1999. IEEE
Print_ISBN :
0-7803-5639-x
DOI :
10.1109/APS.1999.789184
