On the solution of boundary value problems using spheroidal eigenvectors

In the present work an attempt is made to construct the Navier vector funct ions in spheroidal geometry in a form convenient for the solution of bounda ry value problems. The complexity of the problem is moderated by exploiting general properties of the vector operators, the underlying Helmholtz equat ion kernel functions as well as the symmetries of the problem. Finally, the proposed analysis is illustrated in the case of electromagnetic and elasti c fields. (C) 2001 Elsevier Science B.V All rights reserved.