Computation of monostatic RCS using adaptive sparsity pattern preconditioning with an MBF‐MLFMM approach
Abstract This work presents a numerical technique for the analysis of the Radar Cross Section (RCS) of large targets combining macro‐basis functions, the multilevel fast multipole method and the generation of near‐field preconditioners, using an approximate inverse matrix where the sparsity pattern...
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| Format: | Article |
| Language: | English |
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Wiley
2024-12-01
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| Series: | IET Microwaves, Antennas & Propagation |
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| Online Access: | https://doi.org/10.1049/mia2.12531 |
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| author | Carlos Delgado Eliseo García Felipe Cátedra |
| author_facet | Carlos Delgado Eliseo García Felipe Cátedra |
| author_sort | Carlos Delgado |
| collection | DOAJ |
| description | Abstract This work presents a numerical technique for the analysis of the Radar Cross Section (RCS) of large targets combining macro‐basis functions, the multilevel fast multipole method and the generation of near‐field preconditioners, using an approximate inverse matrix where the sparsity pattern is dynamic and computed considering an upper memory threshold. In order to improve the scalability, a group of rows is computed using the same least squares matrix minimising the Frobenius norm of the error, rendering each row group problem independent from the rest. This approach is applied to large and realistic problems in the test cases included. The presented preconditioner can be used to optimise the convergence of complex problems with respect to the hardware resources available in each case while being transparent to the user. |
| format | Article |
| id | doaj-art-ff8ce4b3ae864992a38d433acb62bb9c |
| institution | DOAJ |
| issn | 1751-8725 1751-8733 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Microwaves, Antennas & Propagation |
| spelling | doaj-art-ff8ce4b3ae864992a38d433acb62bb9c2025-08-20T02:39:44ZengWileyIET Microwaves, Antennas & Propagation1751-87251751-87332024-12-0118121094110310.1049/mia2.12531Computation of monostatic RCS using adaptive sparsity pattern preconditioning with an MBF‐MLFMM approachCarlos Delgado0Eliseo García1Felipe Cátedra2Department of Ciencias de la Computación Universidad de Alcalá Alcalá de Henares Madrid SpainDepartment of Automática Universidad de Alcalá Alcalá de Henares Madrid SpainDepartment of Ciencias de la Computación Universidad de Alcalá Alcalá de Henares Madrid SpainAbstract This work presents a numerical technique for the analysis of the Radar Cross Section (RCS) of large targets combining macro‐basis functions, the multilevel fast multipole method and the generation of near‐field preconditioners, using an approximate inverse matrix where the sparsity pattern is dynamic and computed considering an upper memory threshold. In order to improve the scalability, a group of rows is computed using the same least squares matrix minimising the Frobenius norm of the error, rendering each row group problem independent from the rest. This approach is applied to large and realistic problems in the test cases included. The presented preconditioner can be used to optimise the convergence of complex problems with respect to the hardware resources available in each case while being transparent to the user.https://doi.org/10.1049/mia2.12531electromagnetic fieldsiterative methodsmethod of momentsnumerical analysis |
| spellingShingle | Carlos Delgado Eliseo García Felipe Cátedra Computation of monostatic RCS using adaptive sparsity pattern preconditioning with an MBF‐MLFMM approach IET Microwaves, Antennas & Propagation electromagnetic fields iterative methods method of moments numerical analysis |
| title | Computation of monostatic RCS using adaptive sparsity pattern preconditioning with an MBF‐MLFMM approach |
| title_full | Computation of monostatic RCS using adaptive sparsity pattern preconditioning with an MBF‐MLFMM approach |
| title_fullStr | Computation of monostatic RCS using adaptive sparsity pattern preconditioning with an MBF‐MLFMM approach |
| title_full_unstemmed | Computation of monostatic RCS using adaptive sparsity pattern preconditioning with an MBF‐MLFMM approach |
| title_short | Computation of monostatic RCS using adaptive sparsity pattern preconditioning with an MBF‐MLFMM approach |
| title_sort | computation of monostatic rcs using adaptive sparsity pattern preconditioning with an mbf mlfmm approach |
| topic | electromagnetic fields iterative methods method of moments numerical analysis |
| url | https://doi.org/10.1049/mia2.12531 |
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