3-D Electromagnetic Scattering Computation in Free-Space With the FETI-FDP2 Method - Archive ouverte HAL Access content directly
Journal Articles IEEE Transactions on Antennas and Propagation Year : 2015

3-D Electromagnetic Scattering Computation in Free-Space With the FETI-FDP2 Method

Ivan Voznyuk
  • Function : Author
  • PersonId : 952303
Hervé Tortel
  • Function : Author
  • PersonId : 834115
Amelie Litman


The electromagnetic dual-primal finite element tearing and interconnecting (FETI-DPEM) method is a nonoverlapping domain decomposition method developed for the finite element analysis of large-scale electromagnetic problems, where the corner edges are globally numbered. This paper presents an extension of the FETI-DPEM2 method, named FETI-full dual primal (FETI-FDP2), where more flexible Robin-type boundary conditions are imposed, on the inner interfaces between subdomains as well as on the corner edges, leading to a new interface problem. Its capacities are tested in the framework of a three-dimensional (3-D) free-space scattering problem, with a scattered field formulation and a computational domain truncated by perfectly mathed layers (PML). First, we compare its accuracy with respect to other FETI-DPEM2 methods and to a complete resolution of the FEM problem, thanks to a direct sparse solver. We show that the convergence of iterative solvers is affected by the presence of the PML and can be accelerated by means of a more accurate approximation, between adjacent subdomains, of the Dirichlet-to-Neumann (DtN) operator. The effectiveness of the iterative solvers are also considered for different test cases. The advantages of the proposed FETI-FDP2 method combined with the associated DtN approximation is numerically demonstrated, regardless the chosen working frequency or the iterative solvers.
Fichier principal
Vignette du fichier
version4.pdf (5.03 Mo) Télécharger le fichier
Origin : Publication funded by an institution

Dates and versions

hal-01279552 , version 1 (05-11-2018)


Attribution - CC BY 4.0



Ivan Voznyuk, Hervé Tortel, Amelie Litman. 3-D Electromagnetic Scattering Computation in Free-Space With the FETI-FDP2 Method. IEEE Transactions on Antennas and Propagation, 2015, 63 (6), pp.2604 - 2613. ⟨10.1109/TAP.2015.2417977⟩. ⟨hal-01279552⟩
94 View
198 Download



Gmail Facebook Twitter LinkedIn More