{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,7]],"date-time":"2026-07-07T11:27:29Z","timestamp":1783423649684,"version":"3.54.6"},"reference-count":20,"publisher":"ASME International","issue":"4","license":[{"start":{"date-parts":[[2022,9,22]],"date-time":"2022-09-22T00:00:00Z","timestamp":1663804800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.asme.org\/publications-submissions\/publishing-information\/legal-policies"}],"funder":[{"DOI":"10.13039\/100000001","name":"NSF of China","doi-asserted-by":"publisher","award":["62202417"],"award-info":[{"award-number":["62202417"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"NSF of China","doi-asserted-by":"publisher","award":["61802211"],"award-info":[{"award-number":["61802211"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"NSF of China","doi-asserted-by":"publisher","award":["61902099"],"award-info":[{"award-number":["61902099"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["asmedigitalcollection.asme.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2023,8,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>In this paper, a novel hexahedral refinement method is introduced which finds the optimal tradeoff between the number of inserted elements and inserted singularities according to user-prescribed weighting. The input of our algorithm is the hexahedral mesh with quads tagged for refinement. The quad sets to be inserted by sheet inflation are determined by solving a integer optimization problem to minimize the number of inserted elements and inserted singularities while maintaining mesh consistency. Finally, we design the optimized sheet structures by selecting the optimal local shrink set at the cross section of intersecting quad sets to ensure the quality of mesh refinement. The refinement scheme can be applied iteratively until the mesh density meets the requirements. Experimental results for some mechanical parts verified the effectiveness of the proposed method.<\/jats:p>","DOI":"10.1115\/1.4055732","type":"journal-article","created":{"date-parts":[[2022,9,22]],"date-time":"2022-09-22T10:09:11Z","timestamp":1663841351000},"update-policy":"https:\/\/doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":3,"title":["Cost-Minimizing Hexahedral Mesh Refinement by Sheet Inflation"],"prefix":"10.1115","volume":"23","author":[{"given":"Chun","family":"Shen","sequence":"first","affiliation":[{"name":"Zhejiang University City College Computer & Computer Science, , Hangzhou 310015 , China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Rui","family":"Wang","sequence":"additional","affiliation":[{"name":"Ningbo University School of Mechanical Engineering & Mechanics, , Ningno 315211 , China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shuming","family":"Gao","sequence":"additional","affiliation":[{"name":"Zhejiang University State Key Lab of CAD&CG, , Hangzhou 310058 , China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Haiyan","family":"Wu","sequence":"additional","affiliation":[{"name":"Hangzhou Dianzi University College of Computer Science and Technology, , Hangzhou 310005 , China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"33","published-online":{"date-parts":[[2022,12,27]]},"reference":[{"issue":"10","key":"2023122701040492500_CIT0001","doi-asserted-by":"publisher","first-page":"914","DOI":"10.1016\/j.cad.2007.05.016","article-title":"Adaptive Generation of Hexahedral Element Mesh Using An Improved Grid-Based Method","volume":"39","author":"Zhang","year":"2007","journal-title":"Comput. Aided Des."},{"key":"2023122701040492500_CIT0002","article-title":"Hex-Mesh Generation and Processing: A Survey","author":"Pietroni","year":"2022"},{"key":"2023122701040492500_CIT0003","article-title":"Conformal Refinement of All-Quadrilateral and All-Hexahedral Meshes According to An Anisotropic Metric","author":"Tchon","year":"2002"},{"issue":"4","key":"2023122701040492500_CIT0004","doi-asserted-by":"publisher","first-page":"330","DOI":"10.1115\/1.2052848","article-title":"Conformal Refinement and Coarsening of Unstructured Hexahedral Meshes","volume":"5","author":"Benzley","year":"2005","journal-title":"ASME J. Comput. Inf. Sci. Eng."},{"key":"2023122701040492500_CIT0005","article-title":"Pillowing Doublets: Refining a Mesh to Ensure That Faces Share at Most One Edge","author":"Mitchell","year":"1995"},{"key":"2023122701040492500_CIT0006","first-page":"69","article-title":"The Cleave and Fill Tool: An All-Hexahedral Refinement Algorithm for Swept Meshes.","author":"Borden","year":"2000"},{"issue":"12","key":"2023122701040492500_CIT0007","doi-asserted-by":"publisher","first-page":"1539","DOI":"10.1002\/nme.926","article-title":"Automated Refinement of Conformal Quadrilateral and Hexahedral Meshes","volume":"59","author":"Tchon","year":"2004","journal-title":"Int. J. Numer. Methods Eng."},{"issue":"1","key":"2023122701040492500_CIT0008","doi-asserted-by":"publisher","first-page":"22","DOI":"10.1016\/j.finel.2006.05.005","article-title":"Adaptive Refinement of All-Hexahedral Elements for Three-Dimensional Metal Forming Analysis","volume":"43","author":"Park","year":"2006","journal-title":"Finite Elements Anal. Des."},{"key":"2023122701040492500_CIT0009","doi-asserted-by":"crossref","DOI":"10.1007\/s00366-021-01581-7","article-title":"Hexahedral Mesh Adaptation Based on Posterior-Error Estimation","author":"Shen","year":"2022","journal-title":"Eng. Comput."},{"key":"2023122701040492500_CIT0010","article-title":"Octree-Based Generation of Hexahedral Element Meshes","author":"Schneiders","year":"1996"},{"issue":"13","key":"2023122701040492500_CIT0011","doi-asserted-by":"publisher","first-page":"1809","DOI":"10.1002\/nme.2470","article-title":"Octree-Based Reasonable-Quality Hexahedral Mesh Generation Using a New Set of Refinement Templates","volume":"77","author":"Ito","year":"2009","journal-title":"Int. J. Numer. Methods Eng."},{"issue":"6\u20137","key":"2023122701040492500_CIT0012","doi-asserted-by":"publisher","first-page":"451","DOI":"10.1002\/cpe.624","article-title":"Effective Adaptation Technique for Hexahedral Mesh","volume":"14","author":"Wada","year":"2002","journal-title":"Concurr. Comput. Pract. Exp."},{"issue":"11","key":"2023122701040492500_CIT0013","doi-asserted-by":"publisher","first-page":"2501","DOI":"10.1002\/nme.404","article-title":"Remeshing for Metal Forming Simulations-Part II: Three-Dimensional Hexahedral Mesh Generation","volume":"53","author":"Kwak","year":"2002","journal-title":"Int. J. Numer. Methods Eng."},{"key":"2023122701040492500_CIT0014","first-page":"251","article-title":"A Selective Approach to Conformal Refinement of Unstructured Hexahedral Finite Element Meshes","author":"Parrish","year":"2008"},{"key":"2023122701040492500_CIT0015","doi-asserted-by":"publisher","first-page":"88","DOI":"10.1016\/j.cma.2012.12.020","article-title":"A Robust 2-Refinement Algorithm in Octree Or Rhombic Dodecahedral Tree Based All-Hexahedral Mesh Generation","volume":"256","author":"Zhang","year":"2013","journal-title":"Comput. Methods. Appl. Mech. Eng."},{"key":"2023122701040492500_CIT0016","first-page":"6","volume-title":"Gurobi Optimizer Reference Manual","author":"Gurobi Optimization","year":"2022"},{"issue":"5","key":"2023122701040492500_CIT0017","first-page":"846","article-title":"Optimization Design Method of Complex Sheet Insertion Operation of Hexahedral Mesh","volume":"32","author":"Wang","year":"2020","journal-title":"J. Comput. Aided Des. Comput. Graph."},{"key":"2023122701040492500_CIT0018","article-title":"Generation of Multi-Million Element Meshes for Solid Model-Based Geometries: The Dicer Algorithm","author":"Melander","year":"1997"},{"key":"2023122701040492500_CIT0019","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1016\/j.cad.2016.09.005","article-title":"A Template-Based Approach for Parallel Hexahedral Two-Refinement","volume":"85","author":"Owen","year":"2017","journal-title":"Comput. Aided Des."},{"key":"2023122701040492500_CIT0020","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1016\/j.cad.2016.07.016","article-title":"Sheet Operation Based Block Decomposition of Solid Models for Hex Meshing","volume":"85","author":"Wang","year":"2017","journal-title":"Comput. Aided Des."}],"container-title":["Journal of Computing and Information Science in Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/asmedigitalcollection.asme.org\/computingengineering\/article-pdf\/23\/4\/041002\/6969344\/jcise_23_4_041002.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/asmedigitalcollection.asme.org\/computingengineering\/article-pdf\/23\/4\/041002\/6969344\/jcise_23_4_041002.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,12,27]],"date-time":"2023-12-27T01:04:24Z","timestamp":1703639064000},"score":1,"resource":{"primary":{"URL":"https:\/\/asmedigitalcollection.asme.org\/computingengineering\/article\/23\/4\/041002\/1146424\/Cost-Minimizing-Hexahedral-Mesh-Refinement-by"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,12,27]]},"references-count":20,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2023,8,1]]}},"URL":"https:\/\/doi.org\/10.1115\/1.4055732","relation":{},"ISSN":["1530-9827","1944-7078"],"issn-type":[{"value":"1530-9827","type":"print"},{"value":"1944-7078","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,12,27]]},"article-number":"041002"}}