{"id":"https://openalex.org/W2146210606","doi":"https://doi.org/10.1145/2331684.2331707","title":"A construction of injective parameterizations of domains for isogeometric applications","display_name":"A construction of injective parameterizations of domains for isogeometric applications","publication_year":2012,"publication_date":"2012-06-07","ids":{"openalex":"https://openalex.org/W2146210606","doi":"https://doi.org/10.1145/2331684.2331707","mag":"2146210606"},"language":"en","primary_location":{"id":"doi:10.1145/2331684.2331707","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2331684.2331707","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2011 International Workshop on Symbolic-Numeric Computation","raw_type":"proceedings-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/A5026113034","display_name":"Thien Huu Nguyen","orcid":"https://orcid.org/0000-0003-3768-4736"},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Thien Nguyen","raw_affiliation_strings":["Inst. of Applied Geometry, JKU Linz, Austria"],"affiliations":[{"raw_affiliation_string":"Inst. of Applied Geometry, JKU Linz, Austria","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003683965","display_name":"Bernard Mourrain","orcid":"https://orcid.org/0000-0002-8813-1368"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bernard Mourrain","raw_affiliation_strings":["GALAAD, INRIA Sophia Antipolis, France","GALAAD INRIA, Sophia Antipolis, France"],"affiliations":[{"raw_affiliation_string":"GALAAD, INRIA Sophia Antipolis, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"GALAAD INRIA, Sophia Antipolis, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111902088","display_name":"Andr\u00e9 Galligo","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andr\u00e9 Galligo","raw_affiliation_strings":["Nice University, Nice, France"],"affiliations":[{"raw_affiliation_string":"Nice University, Nice, France","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016255619","display_name":"Gang Xu","orcid":"https://orcid.org/0000-0003-3557-9529"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gang Xu","raw_affiliation_strings":["Hangzhou Dianzi Univ., China",", Hangzhou Dianzi University, , , China"],"affiliations":[{"raw_affiliation_string":"Hangzhou Dianzi Univ., China","institution_ids":["https://openalex.org/I50760025"]},{"raw_affiliation_string":", Hangzhou Dianzi University, , , China","institution_ids":["https://openalex.org/I50760025"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5026113034"],"corresponding_institution_ids":["https://openalex.org/I121883995"],"apc_list":null,"apc_paid":null,"fwci":0.3429,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64180479,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"149","last_page":"150"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T10514","display_name":"Numerical methods in engineering","score":0.9337999820709229,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9223999977111816,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.6557210683822632},{"id":"https://openalex.org/keywords/injective-function","display_name":"Injective function","score":0.6478976011276245},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6116182804107666},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.5629608035087585},{"id":"https://openalex.org/keywords/elliptic-partial-differential-equation","display_name":"Elliptic partial differential equation","score":0.5499439239501953},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5456968545913696},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5449258089065552},{"id":"https://openalex.org/keywords/isogeometric-analysis","display_name":"Isogeometric analysis","score":0.5239465236663818},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.5073408484458923},{"id":"https://openalex.org/keywords/laplaces-equation","display_name":"Laplace's equation","score":0.5041428804397583},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5013389587402344},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4955199956893921},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4947492480278015},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39692530035972595},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3336775004863739},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.1840304136276245},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15465319156646729},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.0912926197052002},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0822506844997406}],"concepts":[{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.6557210683822632},{"id":"https://openalex.org/C128107574","wikidata":"https://www.wikidata.org/wiki/Q182003","display_name":"Injective function","level":2,"score":0.6478976011276245},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6116182804107666},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.5629608035087585},{"id":"https://openalex.org/C54067925","wikidata":"https://www.wikidata.org/wiki/Q3607962","display_name":"Elliptic partial differential equation","level":3,"score":0.5499439239501953},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5456968545913696},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5449258089065552},{"id":"https://openalex.org/C2780737243","wikidata":"https://www.wikidata.org/wiki/Q17082433","display_name":"Isogeometric analysis","level":3,"score":0.5239465236663818},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.5073408484458923},{"id":"https://openalex.org/C70615421","wikidata":"https://www.wikidata.org/wiki/Q339444","display_name":"Laplace's equation","level":3,"score":0.5041428804397583},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5013389587402344},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4955199956893921},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4947492480278015},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39692530035972595},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3336775004863739},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.1840304136276245},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15465319156646729},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0912926197052002},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0822506844997406},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2331684.2331707","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2331684.2331707","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2011 International Workshop on Symbolic-Numeric Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W172148258","https://openalex.org/W1964673636","https://openalex.org/W2000425991","https://openalex.org/W2025767439","https://openalex.org/W2092680586","https://openalex.org/W2094528257","https://openalex.org/W2123780966","https://openalex.org/W2129922578","https://openalex.org/W2338755529"],"related_works":["https://openalex.org/W3166162663","https://openalex.org/W3119645684","https://openalex.org/W4238425368","https://openalex.org/W2738119476","https://openalex.org/W2488373638","https://openalex.org/W4254213601","https://openalex.org/W1589056410","https://openalex.org/W304862478","https://openalex.org/W2120628270","https://openalex.org/W108268522"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,7,11],"new":[3],"method":[4,21],"to":[5,38,42],"construct":[6],"B-spline":[8],"parameterization":[9],"of":[10,47],"domain":[12,41],"defined":[13],"by":[14,57],"its":[15],"boundary":[16,52],"curves":[17],"or":[18],"surfaces.":[19],"The":[20,32],"is":[22],"based":[23],"on":[24,28],"solving":[25],"Laplace":[26],"equations":[27,33],"the":[29,39,61],"physical":[30],"domain.":[31],"are":[34],"then":[35],"pulled":[36],"back":[37],"parameter":[40],"deduce":[43],"an":[44],"elliptic":[45],"system":[46],"Partial":[48],"Differential":[49],"Equations":[50],"with":[51],"conditions.":[53],"This":[54],"system,":[55],"solved":[56],"relaxation":[58],"techniques,":[59],"yields":[60],"required":[62],"parameterization.":[63]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}