DocumentCode
781370
Title
Variational nature of Galerkin and non-Galerkin moment method solutions
Author
Peterson, Andrew F. ; Wilton, Donald R. ; Jorgenson, Roy E.
Author_Institution
Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Volume
44
Issue
4
fYear
1996
fDate
4/1/1996 12:00:00 AM
Firstpage
500
Lastpage
503
Abstract
There is renewed interest in the use of variational methods in conjunction with numerical solutions of electromagnetic radiation and scattering problems. The variational aspects of secondary calculations based on a method of moments (MoM) solution are investigated. These calculations exhibit a type of second-order accuracy, regardless of whether or not the operator being discretized is self-adjoint, and regardless of whether or not testing functions are identical to the basis functions (Galerkin´s method). Numerical results support these conclusions and suggest that the advantage of Galerkin´s method in actual calculations is grossly overstated
Keywords
Galerkin method; electromagnetic wave scattering; method of moments; variational techniques; Galerkin moment method solutions; MoM solution; basis functions; electromagnetic radiation problems; electromagnetic scattering problems; method of moments; nonGalerkin moment method solutions; numerical results; numerical solutions; second-order accuracy; self-adjoint operator; testing functions; variational methods; Automatic testing; Current density; Electromagnetic radiation; Electromagnetic scattering; Integral equations; Laboratories; Message-oriented middleware; Moment methods;
fLanguage
English
Journal_Title
Antennas and Propagation, IEEE Transactions on
Publisher
ieee
ISSN
0018-926X
Type
jour
DOI
10.1109/8.489301
Filename
489301
Link To Document