@PhdThesis{diss_mods_00001664,
  author = 	{Gheorghe, Simona},
  title = 	{On multigrid methods for solving electromagnetic scattering problems},
  year = 	{2006},
  publisher = 	{Christian-Albrechts-Universit{\"a}t zu Kiel},
  address = 	{Kiel},
  keywords = 	{electromagnetic scattering; FEM; multigrid; absorbing-boundary conditions; iterative methods; Elektromagnetische Streuung; Mehrgitterverfahren},
  abstract = 	{This thesis researches the suitability and performance of some classical numerical algorithms, especially multigrid methods, applied to two-dimensional electromagnetic problems in the low frequency domain, among which the scattering of time-harmonic electromagnetic waves and their propagation in waveguides with discontinuities. For the discretization of the governing Helmholtz equation we have used the Finite Element method, coupled with absorbing-boundary conditions, like the Bayliss-Turkel boundary conditions, Dirichlet-to-Neumann mapping, eigenfunctions expansion and boundary element method. Based on numerical studies we recommended the use of full-multigrid with at most three multigrid cycles per level for the model problems with a low wavenumber. For problems with a medium wavenumber, while standard multigrid as well as full multigrid with linear prolongation failed to converge, the multigrid-preconditioned BICGSTAB proved to be the most reliable and the fastest from the tested algorithms, for both model problems and any type of boundary conditions.},
  url = 	{https://macau.uni-kiel.de/receive/diss_mods_00001664},
  file = 	{:https://macau.uni-kiel.de/servlets/MCRFileNodeServlet/dissertation_derivate_00001664/d1664.pdf:PDF},
  language = 	{en}
}