Improvised Asymptotic Boundary Conditions for Magnetostatic Field Problems in Ellipsoidal and Elliptic Cylindrical Domains

Improvised Asymptotic Boundary Conditions (IABCs) in ellipsoidal and elliptic cylindrical coordinates have been derived. The IABCs are among the simplest techniques to emulate the open boundary condition, which can be improvised in virtually any finite-element program. The IABC was first proposed with the circular in 2-D, and spherical in axisymmetric 3-D domains. This work extends the IABC formulation to ellipsoidal and elliptic cylindrical domains.