{"id":"https://openalex.org/W2138619933","doi":"https://doi.org/10.1007/s00211-012-0473-9","title":"A mixed finite element method for thin film epitaxy","display_name":"A mixed finite element method for thin film epitaxy","publication_year":2012,"publication_date":"2012-06-14","ids":{"openalex":"https://openalex.org/W2138619933","doi":"https://doi.org/10.1007/s00211-012-0473-9","mag":"2138619933"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-012-0473-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-012-0473-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","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/A5100693236","display_name":"Wenbin Chen","orcid":"https://orcid.org/0000-0001-8305-0764"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenbin Chen","raw_affiliation_strings":["School of Mathematical Sciences, Fudan University, Shanghai, China","School of Mathematical Sciences, Fudan University,Shanghai,China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"School of Mathematical Sciences, Fudan University,Shanghai,China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100659878","display_name":"Yanqiu Wang","orcid":"https://orcid.org/0000-0003-4783-1920"},"institutions":[{"id":"https://openalex.org/I115475287","display_name":"Oklahoma State University","ror":"https://ror.org/01g9vbr38","country_code":"US","type":"education","lineage":["https://openalex.org/I115475287"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yanqiu Wang","raw_affiliation_strings":["Department of Mathematics, Oklahoma State University, Stillwater, OK, USA","Department of Mathematics, Oklahoma State University, Stillwater, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Oklahoma State University, Stillwater, OK, USA","institution_ids":["https://openalex.org/I115475287"]},{"raw_affiliation_string":"Department of Mathematics, Oklahoma State University, Stillwater, USA#TAB#","institution_ids":["https://openalex.org/I115475287"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100659878"],"corresponding_institution_ids":["https://openalex.org/I115475287"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.021,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.77412007,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"122","issue":"4","first_page":"771","last_page":"793"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9969000220298767,"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"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/discretization","display_name":"Discretization","score":0.857724130153656},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.773752748966217},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6885409951210022},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6098067164421082},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5739297866821289},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.570853590965271},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5105150938034058},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4983251094818115},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.46829456090927124},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.4227648079395294},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.417012482881546},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.41344478726387024},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.12445977330207825},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08334001898765564},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0765373706817627}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.857724130153656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.773752748966217},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6885409951210022},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6098067164421082},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5739297866821289},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.570853590965271},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5105150938034058},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4983251094818115},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.46829456090927124},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.4227648079395294},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.417012482881546},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.41344478726387024},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.12445977330207825},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08334001898765564},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0765373706817627},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-012-0473-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-012-0473-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W1532478920","https://openalex.org/W1625738170","https://openalex.org/W1969100313","https://openalex.org/W1970444005","https://openalex.org/W1975681613","https://openalex.org/W1986097487","https://openalex.org/W1986117872","https://openalex.org/W1992445851","https://openalex.org/W1995153412","https://openalex.org/W1998117567","https://openalex.org/W2000779144","https://openalex.org/W2003173073","https://openalex.org/W2005881662","https://openalex.org/W2008448937","https://openalex.org/W2009985306","https://openalex.org/W2016641139","https://openalex.org/W2018524964","https://openalex.org/W2020293658","https://openalex.org/W2020503418","https://openalex.org/W2024321552","https://openalex.org/W2029495360","https://openalex.org/W2035654636","https://openalex.org/W2041100356","https://openalex.org/W2044562696","https://openalex.org/W2066116321","https://openalex.org/W2068191335","https://openalex.org/W2077028260","https://openalex.org/W2080928083","https://openalex.org/W2083434422","https://openalex.org/W2083629653","https://openalex.org/W2085481725","https://openalex.org/W2089841765","https://openalex.org/W2092973465","https://openalex.org/W2093156090","https://openalex.org/W2104346351","https://openalex.org/W2120627663","https://openalex.org/W2128204029","https://openalex.org/W2152024595","https://openalex.org/W2156373898","https://openalex.org/W2167347425","https://openalex.org/W2168065659","https://openalex.org/W2328649268","https://openalex.org/W2488294643","https://openalex.org/W2587075603","https://openalex.org/W3022980979","https://openalex.org/W4214876654","https://openalex.org/W4230962563","https://openalex.org/W4246704835"],"related_works":["https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2907092354","https://openalex.org/W2354852362","https://openalex.org/W3150056502","https://openalex.org/W2097450342","https://openalex.org/W2152693871"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}