{"id":"https://openalex.org/W2113812464","doi":"https://doi.org/10.1515/cmam-2013-0014","title":"Mixed Finite Element Analysis of Eigenvalue Problems on Curved Domains","display_name":"Mixed Finite Element Analysis of Eigenvalue Problems on Curved Domains","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2113812464","doi":"https://doi.org/10.1515/cmam-2013-0014","mag":"2113812464"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2013-0014","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2013-0014","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied 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/A5103544138","display_name":"Anah\u00ed Dello Russo","orcid":null},"institutions":[{"id":"https://openalex.org/I874386039","display_name":"Universidad Nacional de La Plata","ror":"https://ror.org/01tjs6929","country_code":"AR","type":"education","lineage":["https://openalex.org/I874386039"]}],"countries":["AR"],"is_corresponding":true,"raw_author_name":"Anah\u00ed Dello Russo","raw_affiliation_strings":["1Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 172, 1900 La Plata, Argentina; and CIC, Provincia de Buenos Aires, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"1Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 172, 1900 La Plata, Argentina; and CIC, Provincia de Buenos Aires, Argentina","institution_ids":["https://openalex.org/I874386039"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036005223","display_name":"Ana Alonso","orcid":null},"institutions":[{"id":"https://openalex.org/I874386039","display_name":"Universidad Nacional de La Plata","ror":"https://ror.org/01tjs6929","country_code":"AR","type":"education","lineage":["https://openalex.org/I874386039"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Ana E. Alonso","raw_affiliation_strings":["2Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 172, 1900 La Plata, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"2Departamento de Matem\u00e1tica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 172, 1900 La Plata, Argentina","institution_ids":["https://openalex.org/I874386039"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103544138"],"corresponding_institution_ids":["https://openalex.org/I874386039"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13879021,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"1","first_page":"1","last_page":"33"},"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":0.9998999834060669,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","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":0.9995999932289124,"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":0.9990000128746033,"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/eigenfunction","display_name":"Eigenfunction","score":0.7749311923980713},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7733144760131836},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.767593264579773},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5968024134635925},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5681537389755249},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.5317000150680542},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5227653980255127},{"id":"https://openalex.org/keywords/inverse-iteration","display_name":"Inverse iteration","score":0.5189168453216553},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4982941150665283},{"id":"https://openalex.org/keywords/divide-and-conquer-eigenvalue-algorithm","display_name":"Divide-and-conquer eigenvalue algorithm","score":0.49112555384635925},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4654197692871094},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.457328200340271},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4503530263900757},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39001426100730896},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1780795454978943},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11429500579833984}],"concepts":[{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.7749311923980713},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7733144760131836},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.767593264579773},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5968024134635925},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5681537389755249},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.5317000150680542},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5227653980255127},{"id":"https://openalex.org/C2505209","wikidata":"https://www.wikidata.org/wiki/Q1671724","display_name":"Inverse iteration","level":3,"score":0.5189168453216553},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4982941150665283},{"id":"https://openalex.org/C192702615","wikidata":"https://www.wikidata.org/wiki/Q5283998","display_name":"Divide-and-conquer eigenvalue algorithm","level":3,"score":0.49112555384635925},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4654197692871094},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.457328200340271},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4503530263900757},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39001426100730896},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1780795454978943},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11429500579833984},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/cmam-2013-0014","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2013-0014","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W57709628","https://openalex.org/W591292934","https://openalex.org/W1492326914","https://openalex.org/W1566725752","https://openalex.org/W1575147392","https://openalex.org/W1674659126","https://openalex.org/W1852082788","https://openalex.org/W1972683041","https://openalex.org/W1976365776","https://openalex.org/W1991694491","https://openalex.org/W2000406789","https://openalex.org/W2005436751","https://openalex.org/W2012128359","https://openalex.org/W2012437014","https://openalex.org/W2013434737","https://openalex.org/W2027509489","https://openalex.org/W2049914863","https://openalex.org/W2050581370","https://openalex.org/W2051512422","https://openalex.org/W2057410521","https://openalex.org/W2064990594","https://openalex.org/W2085937152","https://openalex.org/W2089046684","https://openalex.org/W2100969493","https://openalex.org/W2163502067","https://openalex.org/W2171584351","https://openalex.org/W2269276541","https://openalex.org/W2280299249","https://openalex.org/W2316600706","https://openalex.org/W2318176861","https://openalex.org/W2587559127","https://openalex.org/W3149667697","https://openalex.org/W3204708751"],"related_works":["https://openalex.org/W2796073220","https://openalex.org/W2596029100","https://openalex.org/W2472637427","https://openalex.org/W3188219351","https://openalex.org/W1994155896","https://openalex.org/W1983311783","https://openalex.org/W2130474842","https://openalex.org/W2068639060","https://openalex.org/W2885654125","https://openalex.org/W2767914060"],"abstract_inverted_index":{"Abstract.":[0],"In":[1],"this":[2],"paper":[3],"we":[4,28,56],"present":[5],"a":[6,17,118],"theoretical":[7],"framework":[8],"for":[9,89],"the":[10,13,64,90,94,105,108],"analysis":[11],"of":[12,16,20,63,93,107],"numerical":[14],"approximations":[15,60,92],"particular":[18],"class":[19],"eigenvalue":[21,110],"problems":[22],"by":[23],"mixed/hybrid":[24],"methods.":[25],"More":[26],"precisely,":[27],"are":[29,34,97,102],"interested":[30],"in":[31],"eigenproblems":[32],"which":[33,45],"defined":[35,116],"over":[36],"curved":[37,42,119],"domains":[38],"or":[39],"have":[40],"internal":[41],"boundaries":[43],"and":[44,85],"may":[46],"be":[47],"associated":[48],"with":[49,112],"non-compact":[50],"inverse":[51],"operators.":[52],"To":[53],"do":[54],"this,":[55],"consider":[57],"external":[58,91],"domain":[59,66],"$\\Omega":[61,67,71],"_{h}$":[62],"original":[65],"$":[68,76],",":[69],"i.e.,":[70],"_{h}":[72],"\\lnot":[73],"\\subset":[74],"\\Omega":[75],".":[77],"Sufficient":[78],"conditions":[79],"to":[80,104],"ensure":[81],"good":[82],"convergence":[83],"properties":[84],"optimal":[86],"error":[87],"bounds":[88],"eigenfunction/eigenvalue":[95],"pairs":[96],"established.":[98],"Then,":[99],"these":[100],"results":[101],"applied":[103],"study":[106],"Stokes":[109],"problem":[111],"slip":[113],"boundary":[114],"condition":[115],"on":[117],"non-convex":[120],"two-dimensional":[121],"domain.":[122]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
