{"id":"https://openalex.org/W4407228598","doi":"https://doi.org/10.1137/24m1637052","title":"Adaptive Finite Element Approximations of the First Eigenpair Associated with \\({p}\\)-Laplacian","display_name":"Adaptive Finite Element Approximations of the First Eigenpair Associated with \\({p}\\)-Laplacian","publication_year":2025,"publication_date":"2025-02-06","ids":{"openalex":"https://openalex.org/W4407228598","doi":"https://doi.org/10.1137/24m1637052"},"language":"en","primary_location":{"id":"doi:10.1137/24m1637052","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1637052","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.rug.nl/en/publications/38fde517-5607-4324-a94f-59f28f4250e0","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066860206","display_name":"Guanglian Li","orcid":"https://orcid.org/0000-0003-0615-2681"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Guanglian Li","raw_affiliation_strings":["Department of Mathematics, The University of Hong Kong, Hong Kong Special Administrative Region, China"],"raw_orcid":"https://orcid.org/0000-0003-0615-2681","affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Hong Kong, Hong Kong Special Administrative Region, China","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115589185","display_name":"Jing Li","orcid":"https://orcid.org/0000-0001-9593-6765"},"institutions":[{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing Li","raw_affiliation_strings":["School of Mathematical Sciences, East China Normal University, Shanghai, 200241 China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, East China Normal University, Shanghai, 200241 China","institution_ids":["https://openalex.org/I66867065"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Julie Merten","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119692","display_name":"Numerical Method (China)","ror":"https://ror.org/02ns8zp42","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210119692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Julie Merten","raw_affiliation_strings":["Computational and Numerical Mathematics, Bernoulli Institute, University of Groningen, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computational and Numerical Mathematics, Bernoulli Institute, University of Groningen, The Netherlands","institution_ids":["https://openalex.org/I4210119692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048462943","display_name":"Yifeng Xu","orcid":"https://orcid.org/0009-0006-3216-1310"},"institutions":[{"id":"https://openalex.org/I21945476","display_name":"Shanghai Normal University","ror":"https://ror.org/01cxqmw89","country_code":"CN","type":"education","lineage":["https://openalex.org/I21945476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yifeng Xu","raw_affiliation_strings":["Corresponding author.\u00a0Department of Mathematics & Scientific Computing Key Laboratory of Shanghai Universities, Shanghai Normal University, Shanghai, 200234 China"],"raw_orcid":"https://orcid.org/0009-0006-3216-1310","affiliations":[{"raw_affiliation_string":"Corresponding author.\u00a0Department of Mathematics & Scientific Computing Key Laboratory of Shanghai Universities, Shanghai Normal University, Shanghai, 200234 China","institution_ids":["https://openalex.org/I21945476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038256190","display_name":"Shengfeng Zhu","orcid":"https://orcid.org/0000-0002-4626-9983"},"institutions":[{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengfeng Zhu","raw_affiliation_strings":["Key Laboratory of MEA (Ministry of Education) & Shanghai Key Laboratory of PMMP, School of Mathematical Sciences, East China Normal University, Shanghai, 200241 China"],"raw_orcid":"https://orcid.org/0000-0002-4626-9983","affiliations":[{"raw_affiliation_string":"Key Laboratory of MEA (Ministry of Education) & Shanghai Key Laboratory of PMMP, School of Mathematical Sciences, East China Normal University, Shanghai, 200241 China","institution_ids":["https://openalex.org/I66867065"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5288,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.82273634,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"47","issue":"1","first_page":"A374","last_page":"A402"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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/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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7344568967819214},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6064256429672241},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.5225783586502075},{"id":"https://openalex.org/keywords/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.48364555835723877},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4139457941055298},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33581098914146423},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1194775402545929}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7344568967819214},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6064256429672241},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.5225783586502075},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.48364555835723877},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4139457941055298},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33581098914146423},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1194775402545929},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/24m1637052","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1637052","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:pure.rug.nl:openaire_cris_publications/38fde517-5607-4324-a94f-59f28f4250e0","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/38fde517-5607-4324-a94f-59f28f4250e0","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Li, G, Li, J, Merten, J, Xu, Y & Zhu, S 2025, 'Adaptive Finite Element Approximations of the First Eigenpair Associated with p -Laplacian', SIAM Journal on Scientific Computing, vol. 47, no. 1, pp. A374-A402. https://doi.org/10.1137/24M1637052","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.rug.nl:publications/38fde517-5607-4324-a94f-59f28f4250e0","is_oa":true,"landing_page_url":"https://hdl.handle.net/11370/38fde517-5607-4324-a94f-59f28f4250e0","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Li, G, Li, J, Merten, J, Xu, Y & Zhu, S 2025, 'Adaptive Finite Element Approximations of the First Eigenpair Associated with p -Laplacian', SIAM Journal on Scientific Computing, vol. 47, no. 1, pp. A374-A402. https://doi.org/10.1137/24M1637052","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:pure.rug.nl:openaire_cris_publications/38fde517-5607-4324-a94f-59f28f4250e0","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/38fde517-5607-4324-a94f-59f28f4250e0","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Li, G, Li, J, Merten, J, Xu, Y & Zhu, S 2025, 'Adaptive Finite Element Approximations of the First Eigenpair Associated with p -Laplacian', SIAM Journal on Scientific Computing, vol. 47, no. 1, pp. A374-A402. https://doi.org/10.1137/24M1637052","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3538026692","display_name":null,"funder_award_id":"KF202318","funder_id":"https://openalex.org/F4320335882","funder_display_name":"General Research Fund of Shanghai Normal University"},{"id":"https://openalex.org/G3865785182","display_name":null,"funder_award_id":"12250013","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G440906136","display_name":null,"funder_award_id":"22ZR1445400","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G467015429","display_name":null,"funder_award_id":"20JC1413800","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G4677090485","display_name":null,"funder_award_id":"22ZR1421900","funder_id":"https://openalex.org/F4320321885","funder_display_name":"Science and Technology Commission of Shanghai Municipality"},{"id":"https://openalex.org/G5017780471","display_name":null,"funder_award_id":"12261160361","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G540381957","display_name":null,"funder_award_id":"12271367","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5522636679","display_name":"Approximation and analysis of exactness in Lasserre\u2019s hierarchy for polynomial optimization","funder_award_id":"17317122","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"},{"id":"https://openalex.org/G577746020","display_name":"Multiscale Model Reduction: Algorithm Development and new applications","funder_award_id":"27301921","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"},{"id":"https://openalex.org/G6223643911","display_name":null,"funder_award_id":"12471377","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8862154610","display_name":null,"funder_award_id":"KF202468","funder_id":"https://openalex.org/F4320335882","funder_display_name":"General Research Fund of Shanghai Normal University"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321592","display_name":"Research Grants Council, University Grants Committee","ror":"https://ror.org/00djwmt25"},{"id":"https://openalex.org/F4320321885","display_name":"Science and Technology Commission of Shanghai Municipality","ror":"https://ror.org/03kt66j61"},{"id":"https://openalex.org/F4320335882","display_name":"General Research Fund of Shanghai Normal University","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W184188664","https://openalex.org/W253824085","https://openalex.org/W1533350767","https://openalex.org/W1964524533","https://openalex.org/W1971416232","https://openalex.org/W1975832162","https://openalex.org/W1978687734","https://openalex.org/W1989594010","https://openalex.org/W1990027845","https://openalex.org/W1991234149","https://openalex.org/W2009941208","https://openalex.org/W2009985306","https://openalex.org/W2012900529","https://openalex.org/W2015735097","https://openalex.org/W2025603126","https://openalex.org/W2032883788","https://openalex.org/W2037692089","https://openalex.org/W2041930077","https://openalex.org/W2042615888","https://openalex.org/W2044959876","https://openalex.org/W2055285713","https://openalex.org/W2058363312","https://openalex.org/W2065245967","https://openalex.org/W2068079525","https://openalex.org/W2068205194","https://openalex.org/W2072549746","https://openalex.org/W2084339709","https://openalex.org/W2091542044","https://openalex.org/W2092037996","https://openalex.org/W2092131877","https://openalex.org/W2100950337","https://openalex.org/W2103343860","https://openalex.org/W2110487717","https://openalex.org/W2114182193","https://openalex.org/W2165659470","https://openalex.org/W2172266329","https://openalex.org/W2179536916","https://openalex.org/W2315698503","https://openalex.org/W2466473627","https://openalex.org/W2468862302","https://openalex.org/W2505585705","https://openalex.org/W2527718086","https://openalex.org/W2962711883","https://openalex.org/W2963027749","https://openalex.org/W2963783606","https://openalex.org/W2964114492","https://openalex.org/W2964192538","https://openalex.org/W2964313803","https://openalex.org/W2991949563","https://openalex.org/W4210300254","https://openalex.org/W4237950784","https://openalex.org/W4360595831","https://openalex.org/W4386991616","https://openalex.org/W4390263052"],"related_works":["https://openalex.org/W2055836843","https://openalex.org/W2755775996","https://openalex.org/W3131818128","https://openalex.org/W2095941963","https://openalex.org/W2366062865","https://openalex.org/W2069701013","https://openalex.org/W2169158840","https://openalex.org/W1997375727","https://openalex.org/W2011633066","https://openalex.org/W4200392369"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"an":[5],"adaptive":[6,31],"finite":[7],"element":[8],"method":[9],"for":[10],"computing":[11],"the":[12,16,43,47,51,57,63,79],"first":[13,38,44,64],"eigenpair":[14],"of":[15,36,46],"p-Laplacian":[17],"problem.":[18],"We":[19],"prove":[20],"that":[21,40],"by":[22],"starting":[23],"from":[24],"a":[25,34],"fine":[26],"initial":[27],"mesh":[28],"our":[29],"proposed":[30],"algorithm":[32],"produces":[33],"sequence":[35],"discrete":[37,54],"eigenvalues":[39],"converges":[41],"to":[42,62,70,77],"eigenvalue":[45,65],"continuous":[48],"problem,":[49],"and":[50,56,81],"distance":[52],"between":[53],"eigenfunctions":[55],"normalized":[58],"eigenfunction":[59],"set":[60],"corresponding":[61],"in":[66],"W<sup>1,p</sup>-norm":[67],"also":[68],"tends":[69],"zero.":[71],"Extensive":[72],"numerical":[73],"examples":[74],"are":[75],"provided":[76],"show":[78],"effectiveness":[80],"efficiency.":[82]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-26T07:53:14.480251","created_date":"2025-10-10T00:00:00"}
