Improved Dual-Primal Domain Decomposition Method for the Angular Radar Stealth Analysis

Improved Dual-Primal Domain Decomposition Method for the Angular Radar Stealth Analysis | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Improved Dual-Primal Domain Decomposition Method for the Angular Radar Stealth Analysis Seung-Hoon Kang, Younggeun Park, SangJoon Shin This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7939335/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Angular monostatic radar cross-section (RCS) analysis plays a critical role in assessing the stealth performance of aircraft. However, it becomes computationally intensive when applied to large-scale finite-element (FE) models. This challenge stems from the need to solve linear systems for multiple incident waves, or multiple right-hand sides (RHSs). This paper proposes two improved variants of the electromagnetic dual-primal FE tearing and interconnecting (FETI-DPEM) method to accelerate the analysis by exploiting the linear dependency among the RHS vectors. The first variant, recycling FETI-DPEM (rFETI-DPEM), is a sequential method that reuses Krylov subspace information from previous solutions. The second variant, block FETI-DPEM (bFETI-DPEM), initially employs rank-revealing QR decomposition to reduce the dimensionality of the RHS block and subsequently solves the resulting reduced system using a block iterative solver. The numerical results demonstrate that both rFETI-DPEM and bFETI-DPEM preserve the accuracy of the original FETI-DPEM while substantially reducing the computational time. Among the proposed variants, the bFETI-DPEM method exhibits superior robustness, achieving a speed-up factor of up to 19.6 \((\times)\) in large-scale missile analyses. This framework thus provides a highly efficient and robust solution for large-scale radar stealth analyses in complex aerospace structures. Radar cross-section analysis Domain decomposition method Parallel computation Electromagnetic finite-element analysis Angular monostatic radar-scattering analysis Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-7939335","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":542701347,"identity":"04086cd7-a91d-4392-9b38-aef68f70fe85","order_by":0,"name":"Seung-Hoon Kang","email":"","orcid":"","institution":"Sejong University","correspondingAuthor":false,"prefix":"","firstName":"Seung-Hoon","middleName":"","lastName":"Kang","suffix":""},{"id":542701348,"identity":"467b327f-6d7f-45c1-8b2a-5b51b41007a9","order_by":1,"name":"Younggeun Park","email":"","orcid":"","institution":"Seoul National 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Analysis","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Radar cross-section analysis, Domain decomposition method, Parallel computation, Electromagnetic finite-element analysis, Angular monostatic radar-scattering analysis","lastPublishedDoi":"10.21203/rs.3.rs-7939335/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7939335/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eAngular monostatic radar cross-section (RCS) analysis plays a critical role in assessing the stealth performance of aircraft. However, it becomes computationally intensive when applied to large-scale finite-element (FE) models. This challenge stems from the need to solve linear systems for multiple incident waves, or multiple right-hand sides (RHSs). This paper proposes two improved variants of the electromagnetic dual-primal FE tearing and interconnecting (FETI-DPEM) method to accelerate the analysis by exploiting the linear dependency among the RHS vectors. The first variant, recycling FETI-DPEM (rFETI-DPEM), is a sequential method that reuses Krylov subspace information from previous solutions. The second variant, block FETI-DPEM (bFETI-DPEM), initially employs rank-revealing QR decomposition to reduce the dimensionality of the RHS block and subsequently solves the resulting reduced system using a block iterative solver. The numerical results demonstrate that both rFETI-DPEM and bFETI-DPEM preserve the accuracy of the original FETI-DPEM while substantially reducing the computational time. Among the proposed variants, the bFETI-DPEM method exhibits superior robustness, achieving a speed-up factor of up to 19.6\u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\((\\times)\\)\u003c/span\u003e\u003c/span\u003e in large-scale missile analyses. This framework thus provides a highly efficient and robust solution for large-scale radar stealth analyses in complex aerospace structures.\u003c/p\u003e","manuscriptTitle":"Improved Dual-Primal Domain Decomposition Method for the Angular Radar Stealth Analysis","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-11-12 02:50:27","doi":"10.21203/rs.3.rs-7939335/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"287e5820-6044-4be0-9e60-b06239d7adec","owner":[],"postedDate":"November 12th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2025-11-23T21:53:13+00:00","versionOfRecord":[],"versionCreatedAt":"2025-11-12 02:50:27","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-7939335","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7939335","identity":"rs-7939335","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}