Application of higher-order vector basis functions to surface integral equation formulations
Article first published online: 7 DEC 2012
Copyright 1996 by the American Geophysical Union.
Volume 31, Issue 5, pages 1207–1213, September-October 1996
How to Cite
1996), Application of higher-order vector basis functions to surface integral equation formulations, Radio Sci., 31(5), 1207–1213, doi:10.1029/96RS02219., , and (
- Issue published online: 7 DEC 2012
- Article first published online: 7 DEC 2012
- Manuscript Accepted: 16 JUL 1996
- Manuscript Received: 17 OCT 1995
Higher-order vector basis functions are described that provide a linear normal and quadratic tangential representation of a vector quantity on rectangular or triangular cells. These functions are used to represent the surface current density on a variety of scatterers, including perfectly conducting plates, spheres, and cone-spheres. Results are compared with lower-order rooftop basis functions that provide a constant normal and linear tangential vector representation. Results suggest that the higher-order basis functions provide improved accuracy for a given number of unknowns but that special functions incorporating edge singularities are needed for a robust treatment of scatterers with corners or edges.