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
fDate :
4/1/1996 12:00:00 AM
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;
Journal_Title :
Antennas and Propagation, IEEE Transactions on