Technical Note: BEM treatment of two-dimensional anisotropic Field problems by direct domain mapping

摘要

Using the method of characteristics, a steady-state anisotropic field problem can be reduced to one governed by Laplace's equation in a mapped plane. No rotation of axes is involved in the process, and the coordinate transformation equations are given in this paper. The advantage of this approach is that the anisotropic problem can be easily solved with any of the readily available boundary element method (BEM) programs for 'isotropic' potential theory, albeit on a distorted domain. Two numerical examples are presented to illustrate the scheme.