{"id":"https://openalex.org/W2104686881","doi":"https://doi.org/10.1007/978-3-540-79246-8_13","title":"Finite Element Methods for Geometric Modeling and Processing Using General Fourth Order Geometric Flows","display_name":"Finite Element Methods for Geometric Modeling and Processing Using General Fourth Order Geometric Flows","publication_year":2008,"publication_date":"2008-04-29","ids":{"openalex":"https://openalex.org/W2104686881","doi":"https://doi.org/10.1007/978-3-540-79246-8_13","mag":"2104686881"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-79246-8_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-79246-8_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5102754054","display_name":"Guoliang Xu","orcid":"https://orcid.org/0000-0003-0610-8891"},"institutions":[{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guoliang Xu","raw_affiliation_strings":["State Key Laboratory of Scientific and Engineering Computing Institute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080, China","State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Scientific and Engineering Computing Institute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102754054"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.742,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.89166518,"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":"164","last_page":"177"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9919000267982483,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9914000034332275,"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/partial-differential-equation","display_name":"Partial differential equation","score":0.6840676069259644},{"id":"https://openalex.org/keywords/geometric-modeling","display_name":"Geometric modeling","score":0.6507575511932373},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5772396326065063},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5678029656410217},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5637098550796509},{"id":"https://openalex.org/keywords/geometric-analysis","display_name":"Geometric analysis","score":0.514833390712738},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.47510942816734314},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.436175674200058},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37604162096977234},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.34414029121398926},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.29996079206466675},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.14846190810203552},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08989942073822021},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.05537697672843933}],"concepts":[{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6840676069259644},{"id":"https://openalex.org/C104065381","wikidata":"https://www.wikidata.org/wiki/Q1002535","display_name":"Geometric modeling","level":2,"score":0.6507575511932373},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5772396326065063},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5678029656410217},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5637098550796509},{"id":"https://openalex.org/C154968394","wikidata":"https://www.wikidata.org/wiki/Q5535474","display_name":"Geometric analysis","level":5,"score":0.514833390712738},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.47510942816734314},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.436175674200058},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37604162096977234},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.34414029121398926},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.29996079206466675},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.14846190810203552},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08989942073822021},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.05537697672843933},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-79246-8_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-79246-8_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.5600000023841858,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W111767332","https://openalex.org/W653564841","https://openalex.org/W1495768073","https://openalex.org/W1506342804","https://openalex.org/W1525873409","https://openalex.org/W1565212980","https://openalex.org/W1949833029","https://openalex.org/W1976507020","https://openalex.org/W1978476222","https://openalex.org/W1980220299","https://openalex.org/W2000214666","https://openalex.org/W2008777025","https://openalex.org/W2015700958","https://openalex.org/W2023475925","https://openalex.org/W2043220645","https://openalex.org/W2048427115","https://openalex.org/W2058981386","https://openalex.org/W2061380892","https://openalex.org/W2066822731","https://openalex.org/W2072418953","https://openalex.org/W2083574922","https://openalex.org/W2111846204","https://openalex.org/W2119916473","https://openalex.org/W2130829492","https://openalex.org/W2131681761","https://openalex.org/W2159693184","https://openalex.org/W2161652387","https://openalex.org/W2162463235","https://openalex.org/W2282739418","https://openalex.org/W3038420293","https://openalex.org/W3148091194","https://openalex.org/W4206033904","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2029287765","https://openalex.org/W2951930175","https://openalex.org/W2259417398","https://openalex.org/W3163670353","https://openalex.org/W1593530080","https://openalex.org/W4220701978","https://openalex.org/W3115077130","https://openalex.org/W4230126818","https://openalex.org/W4402519389","https://openalex.org/W266516091"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}