{"id":"https://openalex.org/W4413059081","doi":"https://doi.org/10.1115/1.4069189","title":"Physically Based Anisotropic Hexahedral Mesh Generation Method","display_name":"Physically Based Anisotropic Hexahedral Mesh Generation Method","publication_year":2025,"publication_date":"2025-07-18","ids":{"openalex":"https://openalex.org/W4413059081","doi":"https://doi.org/10.1115/1.4069189"},"language":"en","primary_location":{"id":"doi:10.1115/1.4069189","is_oa":false,"landing_page_url":"https://doi.org/10.1115/1.4069189","pdf_url":null,"source":{"id":"https://openalex.org/S173178594","display_name":"Journal of Computing and Information Science in Engineering","issn_l":"1530-9827","issn":["1530-9827","1944-7078"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316053","host_organization_name":"ASM International","host_organization_lineage":["https://openalex.org/P4310316053"],"host_organization_lineage_names":["ASM International"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computing and Information Science in Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100431417","display_name":"Rui Wang","orcid":"https://orcid.org/0000-0003-4267-0347"},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]},{"id":"https://openalex.org/I4210153682","display_name":"Intelligent Health (United Kingdom)","ror":"https://ror.org/0576zak10","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210153682"]},{"id":"https://openalex.org/I4210142539","display_name":"Guangdong Institute of Intelligent Manufacturing","ror":"https://ror.org/049jpjz09","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210142539"]},{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN","GB"],"is_corresponding":true,"raw_author_name":"Rui Wang","raw_affiliation_strings":["Ningbo Intelligent Manufacturing Technology Research Institute Co. Ltd. , \u00a0 ,","Ningbo University Faculty of Mechanical Engineering & Mechanics, , \u00a0 , ;","Tianjin University School of Mechanical Engineering, , \u00a0 , ;"],"affiliations":[{"raw_affiliation_string":"Ningbo Intelligent Manufacturing Technology Research Institute Co. Ltd. , \u00a0 ,","institution_ids":["https://openalex.org/I4210153682","https://openalex.org/I4210142539"]},{"raw_affiliation_string":"Ningbo University Faculty of Mechanical Engineering & Mechanics, , \u00a0 , ;","institution_ids":["https://openalex.org/I109935558"]},{"raw_affiliation_string":"Tianjin University School of Mechanical Engineering, , \u00a0 , ;","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101078870","display_name":"Yujun Xu","orcid":"https://orcid.org/0009-0002-9713-4736"},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yujun Xu","raw_affiliation_strings":["Ningbo University Faculty of Mechanical Engineering & Mechanics, , \u00a0 ,"],"affiliations":[{"raw_affiliation_string":"Ningbo University Faculty of Mechanical Engineering & Mechanics, , \u00a0 ,","institution_ids":["https://openalex.org/I109935558"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102438296","display_name":"Chun Gen Shen","orcid":null},"institutions":[{"id":"https://openalex.org/I168879160","display_name":"Zhejiang University of Science and Technology","ror":"https://ror.org/05mx0wr29","country_code":"CN","type":"education","lineage":["https://openalex.org/I168879160"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chun Shen","raw_affiliation_strings":["Hangzhou City University School of Computer and Computing Science, , \u00a0 ,"],"affiliations":[{"raw_affiliation_string":"Hangzhou City University School of Computer and Computing Science, , \u00a0 ,","institution_ids":["https://openalex.org/I168879160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101398675","display_name":"Shuming Gao","orcid":"https://orcid.org/0000-0002-7061-9912"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]},{"id":"https://openalex.org/I4210156066","display_name":"State Key Laboratory of Chemical Engineering","ror":"https://ror.org/05803vc71","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210156066"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuming Gao","raw_affiliation_strings":["Zhejiang University State Key Lab of CAD&CG, , \u00a0 ,"],"affiliations":[{"raw_affiliation_string":"Zhejiang University State Key Lab of CAD&CG, , \u00a0 ,","institution_ids":["https://openalex.org/I76130692","https://openalex.org/I4210156066"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100942503","display_name":"Hongfei Zhan","orcid":null},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongfei Zhan","raw_affiliation_strings":["Ningbo University Faculty of Mechanical Engineering & Mechanics, , \u00a0 ,"],"affiliations":[{"raw_affiliation_string":"Ningbo University Faculty of Mechanical Engineering & Mechanics, , \u00a0 ,","institution_ids":["https://openalex.org/I109935558"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100948696","display_name":"Junhe Yu","orcid":"https://orcid.org/0009-0001-4168-5187"},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junhe Yu","raw_affiliation_strings":["Ningbo University Faculty of Mechanical Engineering & Mechanics, , \u00a0 ,"],"affiliations":[{"raw_affiliation_string":"Ningbo University Faculty of Mechanical Engineering & Mechanics, , \u00a0 ,","institution_ids":["https://openalex.org/I109935558"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100431417"],"corresponding_institution_ids":["https://openalex.org/I109935558","https://openalex.org/I162868743","https://openalex.org/I4210142539","https://openalex.org/I4210153682"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.38940505,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":"10","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12698","display_name":"3D Modeling in Geospatial Applications","score":0.9674999713897705,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hexahedron","display_name":"Hexahedron","score":0.9669269323348999},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.7863162755966187},{"id":"https://openalex.org/keywords/volume-mesh","display_name":"Volume mesh","score":0.6697747707366943},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.6586154699325562},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.6569555401802063},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6129714250564575},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5801727175712585},{"id":"https://openalex.org/keywords/metric-tensor","display_name":"Metric tensor","score":0.5374226570129395},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.42181137204170227},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41767898201942444},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4156174063682556},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.41224199533462524},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4018794298171997},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3559635579586029},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3368285298347473},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14376536011695862},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.11710101366043091},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11688974499702454}],"concepts":[{"id":"https://openalex.org/C22411076","wikidata":"https://www.wikidata.org/wiki/Q668113","display_name":"Hexahedron","level":3,"score":0.9669269323348999},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.7863162755966187},{"id":"https://openalex.org/C170589453","wikidata":"https://www.wikidata.org/wiki/Q7940896","display_name":"Volume mesh","level":4,"score":0.6697747707366943},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.6586154699325562},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.6569555401802063},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6129714250564575},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5801727175712585},{"id":"https://openalex.org/C8466233","wikidata":"https://www.wikidata.org/wiki/Q757269","display_name":"Metric tensor","level":3,"score":0.5374226570129395},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.42181137204170227},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41767898201942444},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4156174063682556},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.41224199533462524},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4018794298171997},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3559635579586029},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3368285298347473},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14376536011695862},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.11710101366043091},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11688974499702454},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1115/1.4069189","is_oa":false,"landing_page_url":"https://doi.org/10.1115/1.4069189","pdf_url":null,"source":{"id":"https://openalex.org/S173178594","display_name":"Journal of Computing and Information Science in Engineering","issn_l":"1530-9827","issn":["1530-9827","1944-7078"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316053","host_organization_name":"ASM International","host_organization_lineage":["https://openalex.org/P4310316053"],"host_organization_lineage_names":["ASM International"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computing and Information Science in Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.5299999713897705,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G532578605","display_name":null,"funder_award_id":"62202417","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5531228644","display_name":null,"funder_award_id":"2023J113","funder_id":"https://openalex.org/F4320323225","funder_display_name":"Natural Science Foundation of Ningbo Municipality"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323225","display_name":"Natural Science Foundation of Ningbo Municipality","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W121659136","https://openalex.org/W275890881","https://openalex.org/W1969645180","https://openalex.org/W1971169262","https://openalex.org/W1977101402","https://openalex.org/W1979810293","https://openalex.org/W1991393198","https://openalex.org/W2039932436","https://openalex.org/W2040704680","https://openalex.org/W2063277537","https://openalex.org/W2075768929","https://openalex.org/W2076702317","https://openalex.org/W2113085766","https://openalex.org/W2123194316","https://openalex.org/W2151636374","https://openalex.org/W2187663595","https://openalex.org/W2509691711","https://openalex.org/W2522071642","https://openalex.org/W2534196943","https://openalex.org/W2592199553","https://openalex.org/W2601364920","https://openalex.org/W2753204195","https://openalex.org/W2783511335","https://openalex.org/W2790723384","https://openalex.org/W2940306100","https://openalex.org/W2968850406","https://openalex.org/W3027421103","https://openalex.org/W3173944189","https://openalex.org/W3201462640","https://openalex.org/W3211114752","https://openalex.org/W4200255628","https://openalex.org/W4205227469","https://openalex.org/W4206665192","https://openalex.org/W4289774595","https://openalex.org/W4290629881","https://openalex.org/W4294325302","https://openalex.org/W6604927700","https://openalex.org/W6610154948","https://openalex.org/W6682441149","https://openalex.org/W6686802209","https://openalex.org/W6786023455"],"related_works":["https://openalex.org/W2171421712","https://openalex.org/W4236665358","https://openalex.org/W2783511335","https://openalex.org/W2648827758","https://openalex.org/W4367672810","https://openalex.org/W2138197125","https://openalex.org/W2197779659","https://openalex.org/W2048163432","https://openalex.org/W2381018316","https://openalex.org/W2601611040"],"abstract_inverted_index":{"Abstract":[0],"Anisotropic":[1],"meshes":[2,28,62,177],"can":[3,191],"better":[4],"capture":[5],"the":[6,10,14,22,33,68,74,80,101,107,113,124,127,133,146,153,158,179,182,188,193],"anisotropic":[7,53,128,154,183],"characteristics":[8],"of":[9,16,35,70,79,126,157],"physical":[11,36,71],"field,":[12],"reduce":[13,192],"degree":[15],"freedom":[17],"in":[18,123],"solving,":[19],"and":[20,98,152,166,197],"improve":[21],"analysis":[23,37,87,195],"accuracy.":[24,201],"However,":[25],"creating":[26],"hexahedral":[27,54,141,155,176,184],"that":[29],"are":[30],"consistent":[31],"with":[32,63,174],"results":[34,69,170],"has":[38],"proven":[39],"to":[40,117],"be":[41],"challenging.":[42],"To":[43],"achieve":[44,118,198],"this":[45,47],"objective,":[46],"article":[48],"proposes":[49],"a":[50,89,139],"physically":[51],"based":[52,66,111],"mesh":[55,129,135,142,156,185],"generation":[56,130,136],"method.":[57],"This":[58],"method":[59,190],"directly":[60],"generates":[61],"element":[64],"anisotropy":[65],"on":[67,88,112],"analysis.":[72],"First,":[73],"initial":[75],"Riemannian":[76,103,114],"metric":[77,104,115,119],"field":[78,116],"model":[81,108,148,160],"is":[82,96,109,143,161],"obtained":[83,162],"through":[84,163],"posterior":[85],"error":[86,196],"tetrahedral":[90],"mesh.":[91],"Then,":[92,106],"an":[93],"energy":[94],"equation":[95],"constructed":[97],"solved":[99],"for":[100,145],"optimized":[102],"field.":[105],"deformed":[110],"space":[120],"conversion,":[121],"resulting":[122],"transformation":[125],"problem":[131],"into":[132],"isotropic":[134,175],"problem.":[137],"Finally,":[138],"uniform":[140],"generated":[144,186],"deformation":[147],"using":[149],"polycube-based":[150],"method,":[151],"original":[159],"inverse":[164],"mapping":[165],"quality":[167],"improvement.":[168],"Experimental":[169],"demonstrate":[171],"that,":[172],"compared":[173],"at":[178],"same":[180],"granularity,":[181],"by":[187],"proposed":[189],"maximum":[194],"higher":[199],"solution":[200]},"counts_by_year":[],"updated_date":"2025-12-28T23:10:05.387466","created_date":"2025-10-10T00:00:00"}