Vn. Kanellopoulos et Jp. Webb, THE IMPORTANCE OF THE SURFACE DIVERGENCE TERM IN THE FINITE-ELEMENT VECTOR ABSORBING BOUNDARY-CONDITION METHOD, IEEE transactions on microwave theory and techniques, 43(9), 1995, pp. 2168-2170
The vector absorbing boundary condition (ABC) is an effective way of t
runcating the infinite domain of a 3-D scattering problem, and thereby
permitting its solution with a finite element method. One of the term
s of the ABC is a surface divergence term. It is shown that due to its
presence, the normal continuity of the field must be enforced on the
surface where the ABC is applied. Numerical analysis of scattering by
a conducting sphere demonstrates that if normal continuity is not enfo
rced, the maximum error in the near field may more than double. A simi
lar error occurs if the surface divergence term is omitted from the fo
rmulation.