Details

Autor(en) / Beteiligte

• Canning, F.X.
• Scholl, J.F.

Titel

Diagonal preconditioners for the EFIE using a wavelet basis

Ist Teil von

• IEEE transactions on antennas and propagation, 1996-09, Vol.44 (9), p.1239-1246

Ort / Verlag

IEEE

Erscheinungsjahr

1996

Quelle

IEEE Xplore

Beschreibungen/Notizen

• The electric field integral equation (EFIE) has found widespread use and in practice has been accepted as a stable method. However, mathematically, the solution of the EFIE is an "ill-posed" problem. In practical terms, as one uses more and more expansion and testing functions per wavelength, the condition number of the resulting moment-method matrix increases (without bound). This means that for high-sampling densities, iterative methods such as conjugate gradients converge more slowly. However, there is a way to change all this. The EFIE is considered using a wavelet basis for expansion and for testing functions. Then, the resulting matrix is multiplied on both sides by a diagonal matrix. This results in a well-conditioned matrix which behaves much like the matrix for the magnetic field integral equation (MFIE). Consequences for the stability and convergence rate of iterative methods are described.