{"id":"https://openalex.org/W2112690077","doi":"https://doi.org/10.1007/s10444-005-7539-5","title":"Guaranteed consistency of surface intersections and trimmed surfaces using a coupled topology resolution and domain decomposition scheme","display_name":"Guaranteed consistency of surface intersections and trimmed surfaces using a coupled topology resolution and domain decomposition scheme","publication_year":2006,"publication_date":"2006-08-09","ids":{"openalex":"https://openalex.org/W2112690077","doi":"https://doi.org/10.1007/s10444-005-7539-5","mag":"2112690077"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-005-7539-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-005-7539-5","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","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/A5045681462","display_name":"Joel Hass","orcid":"https://orcid.org/0000-0002-9019-4464"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]},{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Joel Hass","raw_affiliation_strings":["Department of Mathematics, University of California, Davis, CA, 95616, USA","University of California"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Davis, CA, 95616, USA","institution_ids":["https://openalex.org/I84218800"]},{"raw_affiliation_string":"University of California","institution_ids":["https://openalex.org/I2803209242"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113866987","display_name":"Rida T. Farouki","orcid":null},"institutions":[{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]},{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rida T. Farouki","raw_affiliation_strings":["Department of Mechanical and Aeronautical Engineering, University of California, Davis, CA, 95616, USA","University of California"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aeronautical Engineering, University of California, Davis, CA, 95616, USA","institution_ids":["https://openalex.org/I84218800"]},{"raw_affiliation_string":"University of California","institution_ids":["https://openalex.org/I2803209242"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089144513","display_name":"Chang Yong Han","orcid":"https://orcid.org/0000-0002-1491-2575"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]},{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chang Yong Han","raw_affiliation_strings":["Department of Mechanical and Aeronautical Engineering, University of California, Davis, CA, 95616, USA","University of California"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aeronautical Engineering, University of California, Davis, CA, 95616, USA","institution_ids":["https://openalex.org/I84218800"]},{"raw_affiliation_string":"University of California","institution_ids":["https://openalex.org/I2803209242"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044266797","display_name":"Xiaowen Song","orcid":"https://orcid.org/0000-0001-6386-9836"},"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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaowen Song","raw_affiliation_strings":["College of Mechanical and Energy Engineering, Zhejiang University, Hangzhou, China","Zhejiang, University"],"affiliations":[{"raw_affiliation_string":"College of Mechanical and Energy Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Zhejiang, University","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113576321","display_name":"Thomas W. Sederberg","orcid":null},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas W. Sederberg","raw_affiliation_strings":["Department of Computer Science, Brigham Young University, Provo, UT, 84602, USA","Brigham Young Univ"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Brigham Young University, Provo, UT, 84602, USA","institution_ids":["https://openalex.org/I100005738"]},{"raw_affiliation_string":"Brigham Young Univ","institution_ids":["https://openalex.org/I100005738"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5045681462"],"corresponding_institution_ids":["https://openalex.org/I2803209242","https://openalex.org/I84218800"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":4.2445,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.94280823,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"27","issue":"1","first_page":"1","last_page":"26"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9919999837875366,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9904000163078308,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7037280201911926},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5481305122375488},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.5441802740097046},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5425044894218445},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.5407291650772095},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.5147562026977539},{"id":"https://openalex.org/keywords/algebraic-geometry","display_name":"Algebraic geometry","score":0.4727666676044464},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.46788305044174194},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.45490536093711853},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.45207691192626953},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.44654232263565063},{"id":"https://openalex.org/keywords/parametric-surface","display_name":"Parametric surface","score":0.4441564679145813},{"id":"https://openalex.org/keywords/parametric-equation","display_name":"Parametric equation","score":0.43815144896507263},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4320482015609741},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.3833249807357788},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3687901198863983},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35133975744247437},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26682567596435547},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18868911266326904},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18859997391700745},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17892339825630188}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7037280201911926},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5481305122375488},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.5441802740097046},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5425044894218445},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.5407291650772095},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.5147562026977539},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.4727666676044464},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.46788305044174194},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.45490536093711853},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.45207691192626953},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.44654232263565063},{"id":"https://openalex.org/C2187777","wikidata":"https://www.wikidata.org/wiki/Q1071743","display_name":"Parametric surface","level":3,"score":0.4441564679145813},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.43815144896507263},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4320482015609741},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.3833249807357788},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3687901198863983},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35133975744247437},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26682567596435547},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18868911266326904},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18859997391700745},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17892339825630188},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-005-7539-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-005-7539-5","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1485239897","https://openalex.org/W1551207461","https://openalex.org/W1966047467","https://openalex.org/W1969130880","https://openalex.org/W1969589680","https://openalex.org/W1983469327","https://openalex.org/W1984063983","https://openalex.org/W1991344970","https://openalex.org/W1998916693","https://openalex.org/W2005799419","https://openalex.org/W2008061352","https://openalex.org/W2011253456","https://openalex.org/W2020611471","https://openalex.org/W2025810010","https://openalex.org/W2026082049","https://openalex.org/W2035613768","https://openalex.org/W2045898758","https://openalex.org/W2050066249","https://openalex.org/W2054581185","https://openalex.org/W2067705970","https://openalex.org/W2070354526","https://openalex.org/W2280861231","https://openalex.org/W4236407746"],"related_works":["https://openalex.org/W2350142587","https://openalex.org/W2048887726","https://openalex.org/W3195524536","https://openalex.org/W2082714069","https://openalex.org/W2084484746","https://openalex.org/W4248941353","https://openalex.org/W2070574693","https://openalex.org/W2095627444","https://openalex.org/W2106836404","https://openalex.org/W2112690077"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}