Geometry-Aware Computational Meshing in PETSc

Geometry-Aware Computational Meshing in PETSc | 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Article Geometry-Aware Computational Meshing in PETSc Brandon L. Denton, Matthew G. Knepley This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7121735/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 Building on the framework for computational meshing in the PETSc library knepleykarpeev09 , knepley2025 , we have developed a tightly coupled geometry-discretization infrastructure, enabling geometric data to be used directly in simulation and analysis. We can create discretizations from common CAD geometry files, such as STEP and IGES, and enable many mesh transformations such as ``snap to'' refinement, where the geometric fidelity of the discretization increases with refinement. We also support direct manipulation of the underlying geometric data in order to enable optimization. This infrastructure maintains consistency between the geometry and discretization through transformations, which we illustrate through use cases. CAD Simulation Geometry PETSc 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-7121735","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":488706788,"identity":"96e9a393-d63c-40de-bb1e-594c81ee2a01","order_by":0,"name":"Brandon L. Denton","email":"","orcid":"","institution":"Rubicon Space Systems","correspondingAuthor":false,"prefix":"","firstName":"Brandon","middleName":"L.","lastName":"Denton","suffix":""},{"id":488706789,"identity":"834f9139-a288-4520-bdfe-1b54d3884c22","order_by":1,"name":"Matthew G. 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