An impedance boundary condition EFIE that is low-frequency and refinement stable
A discretization of the impedance boundary condition electric field integral equation (IBC-EFIE) is introduced that: 1) yields the correct solution at arbitrarily small frequencies and 2) requires for its solution a number of matrix vector products bounded as the frequency tends to zero and as the m...
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| Format: | Article |
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IEEE
2017
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| Online Access: | https://eprints.nottingham.ac.uk/46344/ |
| _version_ | 1848797306746306560 |
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| author | Dely, Alexandre Andriulli, Francesco P. Cools, Kristof |
| author_facet | Dely, Alexandre Andriulli, Francesco P. Cools, Kristof |
| author_sort | Dely, Alexandre |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | A discretization of the impedance boundary condition electric field integral equation (IBC-EFIE) is introduced that: 1) yields the correct solution at arbitrarily small frequencies and 2) requires for its solution a number of matrix vector products bounded as the frequency tends to zero and as the mesh density increases. The low frequency stabilization is based on a projector-based discrete Helmholtz splitting, rescaling, and recombination that depends on the low frequency behavior of both the EFIE operator and the surface impedance condition. The dense mesh stabilization is a modification of the perfect electric conductor operator preconditioning approach taking into account the effect on the singular value spectrum of the IBC term. |
| first_indexed | 2025-11-14T20:01:47Z |
| format | Article |
| id | nottingham-46344 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:01:47Z |
| publishDate | 2017 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-463442020-05-04T18:31:46Z https://eprints.nottingham.ac.uk/46344/ An impedance boundary condition EFIE that is low-frequency and refinement stable Dely, Alexandre Andriulli, Francesco P. Cools, Kristof A discretization of the impedance boundary condition electric field integral equation (IBC-EFIE) is introduced that: 1) yields the correct solution at arbitrarily small frequencies and 2) requires for its solution a number of matrix vector products bounded as the frequency tends to zero and as the mesh density increases. The low frequency stabilization is based on a projector-based discrete Helmholtz splitting, rescaling, and recombination that depends on the low frequency behavior of both the EFIE operator and the surface impedance condition. The dense mesh stabilization is a modification of the perfect electric conductor operator preconditioning approach taking into account the effect on the singular value spectrum of the IBC term. IEEE 2017-01-04 Article PeerReviewed Dely, Alexandre, Andriulli, Francesco P. and Cools, Kristof (2017) An impedance boundary condition EFIE that is low-frequency and refinement stable. IEEE Transactions on Antennas and Propagation, 65 (3). pp. 1259-1266. ISSN 0018-926X Scattering Impedance Boundary Conditions Preconditioning Low Frequency Boundary Element Method http://ieeexplore.ieee.org/abstract/document/7805284/ doi:10.1109/TAP.2016.2647684 doi:10.1109/TAP.2016.2647684 |
| spellingShingle | Scattering Impedance Boundary Conditions Preconditioning Low Frequency Boundary Element Method Dely, Alexandre Andriulli, Francesco P. Cools, Kristof An impedance boundary condition EFIE that is low-frequency and refinement stable |
| title | An impedance boundary condition EFIE that is low-frequency and refinement stable |
| title_full | An impedance boundary condition EFIE that is low-frequency and refinement stable |
| title_fullStr | An impedance boundary condition EFIE that is low-frequency and refinement stable |
| title_full_unstemmed | An impedance boundary condition EFIE that is low-frequency and refinement stable |
| title_short | An impedance boundary condition EFIE that is low-frequency and refinement stable |
| title_sort | impedance boundary condition efie that is low-frequency and refinement stable |
| topic | Scattering Impedance Boundary Conditions Preconditioning Low Frequency Boundary Element Method |
| url | https://eprints.nottingham.ac.uk/46344/ https://eprints.nottingham.ac.uk/46344/ https://eprints.nottingham.ac.uk/46344/ |