Title :
Stability of the moment method in electromagnetic problems
Author_Institution :
Dept. of Electr. Eng., Akron Univ., OH, USA
fDate :
3/1/1997 12:00:00 AM
Abstract :
Ill-posed electromagnetic problems with Fredholm equations of the first kind are frequently solved by the “moment method” without explicit regularization. The paper examines why and how the moment method works for ill-posed problems and what limitations are imposed by the ill-posedness. According to theoretical estimates and numerical experiments, the moment method solution converges to the exact one in the energy norm but does not converge uniformly. Comparison with the finite element method is given
Keywords :
Fredholm integral equations; electromagnetism; finite element analysis; method of moments; numerical stability; Fredholm equations; convergence; electromagnetic problems; energy norm; finite element method; ill-posed electromagnetic problems; moment method stability; numerical experiments; Computational electromagnetics; Estimation theory; Finite element methods; Fourier transforms; Integral equations; Message-oriented middleware; Moment methods; Space charge; Stability; Terminology;
Journal_Title :
Magnetics, IEEE Transactions on
