{"id":"https://openalex.org/W3182321990","doi":"https://doi.org/10.1016/j.camwa.2022.06.005","title":"C1-conforming variational discretization of the biharmonic wave equation","display_name":"C1-conforming variational discretization of the biharmonic wave equation","publication_year":2022,"publication_date":"2022-06-23","ids":{"openalex":"https://openalex.org/W3182321990","doi":"https://doi.org/10.1016/j.camwa.2022.06.005","mag":"3182321990"},"language":"en","primary_location":{"id":"doi:10.1016/j.camwa.2022.06.005","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.camwa.2022.06.005","pdf_url":null,"source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Mathematics with Applications","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/A5040109393","display_name":"Markus Bause","orcid":"https://orcid.org/0000-0003-1180-4250"},"institutions":[{"id":"https://openalex.org/I190134885","display_name":"Helmut Schmidt University","ror":"https://ror.org/04e8jbs38","country_code":"DE","type":"education","lineage":["https://openalex.org/I190134885"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Markus Bause","raw_affiliation_strings":["Helmut Schmidt University, Faculty of Mechanical Engineering, Holstenhofweg 85, 22043 Hamburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Helmut Schmidt University, Faculty of Mechanical Engineering, Holstenhofweg 85, 22043 Hamburg, Germany","institution_ids":["https://openalex.org/I190134885"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047068178","display_name":"Maria Lymbery","orcid":null},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Maria Lymbery","raw_affiliation_strings":["Faculty of Mathematics, University Duisburg-Essen, 45127 Essen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, University Duisburg-Essen, 45127 Essen, Germany","institution_ids":["https://openalex.org/I62318514"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011269811","display_name":"Kevin Osthues","orcid":null},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Kevin Osthues","raw_affiliation_strings":["Faculty of Mathematics, University Duisburg-Essen, 45127 Essen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, University Duisburg-Essen, 45127 Essen, Germany","institution_ids":["https://openalex.org/I62318514"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5047068178"],"corresponding_institution_ids":["https://openalex.org/I62318514"],"apc_list":{"value":3480,"currency":"USD","value_usd":3480},"apc_paid":null,"fwci":0.3321,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.473204,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"119","issue":null,"first_page":"208","last_page":"219"},"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":0.9995999932289124,"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":0.9995999932289124,"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":0.9987999796867371,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9973000288009644,"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/biharmonic-equation","display_name":"Biharmonic equation","score":0.9428672790527344},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8758453726768494},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7818382382392883},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.621249258518219},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6030358672142029},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.511195719242096},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4918956756591797},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.47786635160446167},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46577948331832886},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.45772844552993774},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4461822211742401},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4315348267555237},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.21515053510665894},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09960982203483582},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07907736301422119}],"concepts":[{"id":"https://openalex.org/C145784156","wikidata":"https://www.wikidata.org/wiki/Q859808","display_name":"Biharmonic equation","level":3,"score":0.9428672790527344},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8758453726768494},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7818382382392883},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.621249258518219},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6030358672142029},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.511195719242096},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4918956756591797},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.47786635160446167},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46577948331832886},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.45772844552993774},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4461822211742401},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4315348267555237},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.21515053510665894},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09960982203483582},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07907736301422119},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.camwa.2022.06.005","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.camwa.2022.06.005","pdf_url":null,"source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Mathematics with Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.6000000238418579}],"awards":[{"id":"https://openalex.org/G5562332653","display_name":"Physikorientierte L\u00f6ser f\u00fcr MultiNetzwerkPoromechanik","funder_award_id":"456235063","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W156697995","https://openalex.org/W206256087","https://openalex.org/W600942415","https://openalex.org/W1585767079","https://openalex.org/W1585842086","https://openalex.org/W1597209545","https://openalex.org/W1970753375","https://openalex.org/W1975039968","https://openalex.org/W1988040707","https://openalex.org/W1996774337","https://openalex.org/W2002886035","https://openalex.org/W2013519714","https://openalex.org/W2021049593","https://openalex.org/W2022977680","https://openalex.org/W2024785555","https://openalex.org/W2029276558","https://openalex.org/W2038191139","https://openalex.org/W2049467895","https://openalex.org/W2053528667","https://openalex.org/W2055893851","https://openalex.org/W2061904552","https://openalex.org/W2076740943","https://openalex.org/W2087306684","https://openalex.org/W2091628885","https://openalex.org/W2140313977","https://openalex.org/W2157441081","https://openalex.org/W2235655529","https://openalex.org/W2276259090","https://openalex.org/W2284820582","https://openalex.org/W2464244137","https://openalex.org/W2558016433","https://openalex.org/W2572624817","https://openalex.org/W2684882371","https://openalex.org/W2778077235","https://openalex.org/W2904142461","https://openalex.org/W2943373116","https://openalex.org/W2959514605","https://openalex.org/W2963209333","https://openalex.org/W2963748085","https://openalex.org/W2964075222","https://openalex.org/W2979103496","https://openalex.org/W2982444179","https://openalex.org/W2987693459","https://openalex.org/W3009887954","https://openalex.org/W3023331038","https://openalex.org/W3035278326","https://openalex.org/W3075242664","https://openalex.org/W3101130490","https://openalex.org/W3101982285","https://openalex.org/W3104235287","https://openalex.org/W3131705640","https://openalex.org/W3132178687","https://openalex.org/W3142231631","https://openalex.org/W6606412851","https://openalex.org/W6754913335","https://openalex.org/W6769639655","https://openalex.org/W6843765775"],"related_works":["https://openalex.org/W2503543076","https://openalex.org/W2738351852","https://openalex.org/W1131942522","https://openalex.org/W3139424580","https://openalex.org/W1986396960","https://openalex.org/W1978530077","https://openalex.org/W1989122168","https://openalex.org/W124933011","https://openalex.org/W2162026849","https://openalex.org/W2394687667"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}