{"id":"https://openalex.org/W4415239678","doi":"https://doi.org/10.1007/s10444-025-10260-w","title":"A conforming virtual element method for Emden-Fowler model over polygonal meshes","display_name":"A conforming virtual element method for Emden-Fowler model over polygonal meshes","publication_year":2025,"publication_date":"2025-10-16","ids":{"openalex":"https://openalex.org/W4415239678","doi":"https://doi.org/10.1007/s10444-025-10260-w"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-025-10260-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-025-10260-w","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational 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/A5106164274","display_name":"Zaffar Mehdi Dar","orcid":"https://orcid.org/0009-0006-8106-4939"},"institutions":[{"id":"https://openalex.org/I876193797","display_name":"Vellore Institute of Technology University","ror":"https://ror.org/00qzypv28","country_code":"IN","type":"education","lineage":["https://openalex.org/I876193797"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Zaffar Mehdi Dar","raw_affiliation_strings":["Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, 632014, Vellore, Tamil Nadu, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, 632014, Vellore, Tamil Nadu, India","institution_ids":["https://openalex.org/I876193797"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065164757","display_name":"M. Arrutselvi","orcid":null},"institutions":[{"id":"https://openalex.org/I24676775","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49","country_code":"IN","type":"facility","lineage":["https://openalex.org/I24676775"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"M. Arrutselvi","raw_affiliation_strings":["Department of Mechanical Engineering, Indian Institute of Technology, Chennai, 600036, Madras, Tamil Nadu, India"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Indian Institute of Technology, Chennai, 600036, Madras, Tamil Nadu, India","institution_ids":["https://openalex.org/I24676775"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066467414","display_name":"M. Chandru","orcid":"https://orcid.org/0000-0002-2228-0969"},"institutions":[{"id":"https://openalex.org/I876193797","display_name":"Vellore Institute of Technology University","ror":"https://ror.org/00qzypv28","country_code":"IN","type":"education","lineage":["https://openalex.org/I876193797"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Chandru Muthusamy","raw_affiliation_strings":["Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, 632014, Vellore, Tamil Nadu, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, 632014, Vellore, Tamil Nadu, India","institution_ids":["https://openalex.org/I876193797"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043706874","display_name":"Sundararajan Natarajan","orcid":"https://orcid.org/0000-0002-0409-0096"},"institutions":[{"id":"https://openalex.org/I24676775","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49","country_code":"IN","type":"facility","lineage":["https://openalex.org/I24676775"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sundararajan Natarajan","raw_affiliation_strings":["Department of Mechanical Engineering, Indian Institute of Technology, Chennai, 600036, Madras, Tamil Nadu, India"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Indian Institute of Technology, Chennai, 600036, Madras, Tamil Nadu, India","institution_ids":["https://openalex.org/I24676775"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5106164274"],"corresponding_institution_ids":["https://openalex.org/I876193797"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.4347,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.83846325,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"51","issue":"6","first_page":null,"last_page":null},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9991000294685364,"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":0.9991000294685364,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.7231000065803528},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7005000114440918},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5206999778747559},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.5109999775886536},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.49320000410079956},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.49149999022483826},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4361000061035156},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4350000023841858},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4185999929904938}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.7231000065803528},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7005000114440918},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6751000285148621},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5206999778747559},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5109999775886536},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.49320000410079956},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.49149999022483826},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4794999957084656},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4361000061035156},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4350000023841858},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4185999929904938},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.41200000047683716},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38839998841285706},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3698999881744385},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.3605000078678131},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.35499998927116394},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32190001010894775},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30489999055862427},{"id":"https://openalex.org/C83295009","wikidata":"https://www.wikidata.org/wiki/Q7643190","display_name":"Superconvergence","level":3,"score":0.29269999265670776},{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.2912999987602234},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.27410000562667847},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.2694000005722046},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.26649999618530273},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.263700008392334},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.2599000036716461},{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.25929999351501465},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2581999897956848},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.25769999623298645}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-025-10260-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-025-10260-w","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational 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":48,"referenced_works":["https://openalex.org/W1585842086","https://openalex.org/W1963803848","https://openalex.org/W1966513244","https://openalex.org/W1986738478","https://openalex.org/W2006000775","https://openalex.org/W2029219332","https://openalex.org/W2047049848","https://openalex.org/W2049255102","https://openalex.org/W2062480041","https://openalex.org/W2078862466","https://openalex.org/W2105071626","https://openalex.org/W2164841187","https://openalex.org/W2168914934","https://openalex.org/W2317731414","https://openalex.org/W2327215778","https://openalex.org/W2395085125","https://openalex.org/W2414641389","https://openalex.org/W2476507202","https://openalex.org/W2532859297","https://openalex.org/W2560003211","https://openalex.org/W2586478169","https://openalex.org/W2592662912","https://openalex.org/W2608656286","https://openalex.org/W2619423951","https://openalex.org/W2864245334","https://openalex.org/W2892122392","https://openalex.org/W2919136764","https://openalex.org/W2963313365","https://openalex.org/W2964171342","https://openalex.org/W2982473434","https://openalex.org/W3013374287","https://openalex.org/W3095195965","https://openalex.org/W3098295690","https://openalex.org/W3102000601","https://openalex.org/W3102356320","https://openalex.org/W3123275897","https://openalex.org/W3160183511","https://openalex.org/W4205929372","https://openalex.org/W4210528540","https://openalex.org/W4210690063","https://openalex.org/W4247953052","https://openalex.org/W4294686924","https://openalex.org/W4361801318","https://openalex.org/W4401209893","https://openalex.org/W4401902082","https://openalex.org/W4409857429","https://openalex.org/W4410643771","https://openalex.org/W4411470178"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-16T00:00:00"}