Martin, Victor F.Taboada, Jose M.Vipiana, Francesca2025-01-282025-01-282023-04-26V. F. Martín, J. M. Taboada and F. Vipiana, "A Multi-Resolution Preconditioner for Nonconformal Meshes in the MoM Solution of Large Multiscale Structures," in IEEE Transactions on Antennas and Propagation, vol. 71, no. 12, pp. 9303-9315, Dec. 2023, doi: 10.1109/TAP.2023.32691001558-2221 (online)0018-926X (print)https://hdl.handle.net/10115/65959The paper presents a multi-resolution preconditioner able to improve the solution convergence, via the method of moments and the multilevel fast multipole algorithm, in the case of non-conformal meshes applying the multi-branch Rao-Wilton-Glisson basis functions. The proposed preconditioner enables, for the first time, an automatic multi-level quasi-Helmholtz decomposition on non-conforming meshes, including also the generation of the topological (global) loop functions. Moreover, the generation of the proposed preconditioning schemeis fully parallelized in a multicore shared-memory enviroment. Numerical results show the great flexibility of this approach for the solution of electrically-large multi-scale objects including hrefinement discretizations.enAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/Multi-resolution preconditionermulti-branch Rao-Wilton-Glisson basis functionsquasi-Helmholtz decompositionmethod of momentsmultilevel fast multipole algorithmfast solversArticle10.1109/TAP.2023.3269100info:eu-repo/semantics/openAccess