Calderón Preconditioners For The Global Multi-Trace Vector Potential Integral Equation

Calderón Preconditioners For The Global Multi-Trace Vector Potential Integral Equation | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 3 November 2025 V1 Latest version Share on Calderón Preconditioners For The Global Multi-Trace Vector Potential Integral Equation Authors : Paul Olyslager 0000-0003-2704-3097 [email protected] , Hendrik Rogier , and Kristof Cools Authors Info & Affiliations https://doi.org/10.22541/au.176220199.91119062/v1 Published IEEE Transactions on Antennas and Propagation Version of record Peer review timeline 107 views 88 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract Calderón preconditioners for the global multitrace Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT)like formulation for the vector potential are presented. The technique is applicable to multi-domain structures containing multi-material junctions and possibly both PEC and homogeneous domains. A domain diagonal and a trace-type diagonal preconditioner are compared, which both show an iteration count independent of the mesh density in a global multitrace configuration. The trace kind diagonal preconditioner is modified to obtain low-frequency-stable results, whereas the domain-diagonal preconditioner is automatically low-frequency stable. The number of iterations for the Calderón preconditioned multi-trace vector potential integral equations is not affected by the low-frequency and the dense-discretization breakdown, making the proposed preconditioners an excellent modeling tool to compute the fields over a broad spectrum of frequencies and meshes. Supplementary Material File (camera-ready.pdf) Download 2.22 MB Information & Authors Information Version history V1 Version 1 03 November 2025 Peer review timeline Published IEEE Transactions on Antennas and Propagation Version of Record 1 Nov 2025 Published Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords calderón preconditioner decoupled potential global multi-trace integral equation transmission problem vector potential Authors Affiliations Paul Olyslager 0000-0003-2704-3097 [email protected] View all articles by this author Hendrik Rogier View all articles by this author Kristof Cools View all articles by this author Metrics & Citations Metrics Article Usage 107 views 88 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Paul Olyslager, Hendrik Rogier, Kristof Cools. Calderón Preconditioners For The Global Multi-Trace Vector Potential Integral Equation. Authorea . 03 November 2025. DOI: https://doi.org/10.22541/au.176220199.91119062/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . 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