On the Galerkin method with vector basis functions

摘要

The Galerkin method with new vector basis functions has been used by researchers in electrical engineering. Many experiments show that the new vector basis functions are ideally suited for representing the surface electric current and surface magnetic current on the triangulated surface of the given dielectric scatterer. Efficient and simple numerical algorithms have been developed. In this paper, the new vector basis functions and corresponding Galerkin method are introduced. A theoritical analysis of the convergence, error estimate, and numerical stability of this method is given for certain types of integral equations.