Computation of the nonlinear magnetic response of a three dimensional anisotropic superconductor

Many problems in computational magnetics involve computation of fields whic h decay within a skin depth delta, much smaller than the sample size d. We discuss here a novel perturbation method which exploits the smallness of ep silon = delta/d and the asymptotic behavior of the solution in the exterior and interior of a sample. To illustrate this procedure we consider the com putation of the magnetic dipole and quadrupole moments of an anisotropic, u nconventional, three dimensional superconductor. The method significantly r educes the required numerical work and can be implemented in different nume rical algorithms. (C) 1998 American Institute of Physics.