A Hybridized Forward Backward Method Applied to Electromagnetic Wave Scattering Problems

This communication presents an improved forward backward technique for the solution of electromagnetic wave scattering problems. The forward backward method displays rapid convergence when the eigenvalues of the associated iteration matrix are small. Conversely when the eigenvalues are large it displays poorer convergence. The hybridized method presented in this communication helps to circumvent the poor convergence of the forward backward method in the latter case by introducing an optimally sized correction in the approximate direction of the eigenvector associated with the iteration matrix´s dominant eigenvalue. Numerical results are presented in order to demonstrate the convergence of the improved forward backward method.