Ellipsoidal stokes boundary-value problem with ellipsoidal corrections in the boundary condition

We would like to solve the Stokes boundary-value problem taking into accoun t consideration the ellipsoidal corrections in the boundary condition in el lipsoidal coordinates The original problem, i.e., the ellipsoidal Stokes bo undary-value problem has been solved by Martinec and Grafarend (1997) We us e the same philosophy expressed by Martinec (1998) to solve the spherical S tokes boundary-value problem,vith ellipsoidal corrections in the boundary c ondition We wish to show the magnitude of the integration kernel describing the effect of the ellipsoidal corrections win the boundary condition in a cap around the computational pont.