A multilevel formulation of the finite-element method for electromagnetic scattering
Multigrid techniques for three-dimensional (3-D) electromagnetic scattering problems are presented. The numerical representation of the physical problem is accomplished via a finite-element discretization, with nodal basis functions. A total magnetic field formulation with a vector absorbing boundar...
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| Veröffentlicht in: | IEEE transactions on antennas and propagation 1999-06, Vol.47 (6), p.1071-1079 |
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| container_end_page | 1079 |
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| container_issue | 6 |
| container_start_page | 1071 |
| container_title | IEEE transactions on antennas and propagation |
| container_volume | 47 |
| creator | Atlamazoglou, P.E. Pagiatakis, G.C. Uzunoglu, N.K. |
| description | Multigrid techniques for three-dimensional (3-D) electromagnetic scattering problems are presented. The numerical representation of the physical problem is accomplished via a finite-element discretization, with nodal basis functions. A total magnetic field formulation with a vector absorbing boundary condition (ABC) is used. The principal features of the multilevel technique are outlined. The basic multigrid algorithms are described and estimations of their computational requirements are derived. The multilevel code is tested with several scattering problems for which analytical solutions exist. The obtained results clearly indicate the stability, accuracy, and efficiency of the multigrid method. |
| doi_str_mv | 10.1109/8.777134 |
| format | Article |
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| ispartof | IEEE transactions on antennas and propagation, 1999-06, Vol.47 (6), p.1071-1079 |
| issn | 0018-926X 1558-2221 |
| language | eng |
| recordid | cdi_crossref_primary_10_1109_8_777134 |
| source | IEEE Electronic Library (IEL) |
| subjects | Absorbing Absorption Algorithms Boundary conditions Discretization Electromagnetic scattering Finite difference methods Finite element method Finite element methods Iterative methods Magnetic fields Mathematical analysis Mathematical models Multigrid methods Multilevel Testing Time domain analysis Transmission line matrix methods |
| title | A multilevel formulation of the finite-element method for electromagnetic scattering |
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