Title :
Conformal Galerkin testing for VIE using parametric geometry
Author :
Usner, B.C. ; Sertel, K. ; Volakis, J.L.
Author_Institution :
Dept. of Electr. Eng., Ohio State Univ., Columbus, OH, USA
fDate :
7/22/2004 12:00:00 AM
Abstract :
A moment method solution of a volume integral equation (VIE) using parametric geometry is presented. Typical Galerkin testing is shown not to be appropriate for curvilinear geometries, and a new testing scheme is proposed. By exploiting the orthogonality relationships between covariant and contravariant unitary vectors, testing functions in contravariant projection form and field expansion basis in covariant projection form were chosen.
Keywords :
Galerkin method; computational electromagnetics; dielectric materials; finite volume methods; geometry; integral equations; magnetic materials; method of moments; conformal Galerkin testing; contravariant projection; contravariant unitary vectors; covariant projection; covariant unitary vectors; curvilinear geometries; finite volume methods; method of moments; parametric geometry; testing functions; volume integral equation;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:20045004
