Title :
Error and convergence in numerical implementations of the conjugate gradient method (EM problems)
Author :
Ray, Scott L. ; Peterson, Andrew F.
Author_Institution :
Lawrence Livermore Nat. Lab., Livermore, CA, USA
Abstract :
The conjugate gradient method has previously been applied in electromagnetics in two ways: to moment method matrices and directly to continuous operator equations. Numerical implementations of these two methods are shown here to be equivalent. It is concluded that the advantage of the conjugate gradient method is therefore its potential computational efficiency as a solution procedure, not its ability to achieve a more exact solution than the moment method.<>
Keywords :
convergence of numerical methods; electromagnetic field theory; electromagnetic wave scattering; errors; EM radiation; EM scattering; computational efficiency; conjugate gradient method; continuous operator equations; convergence; electromagnetics; moment method matrices; numerical implementations; Character generation; Convergence of numerical methods; Equations; Finite wordlength effects; Gradient methods; Iterative algorithms; Magnetics; Matrix decomposition; Moment methods; User-generated content;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
