{"id":"https://openalex.org/W4416786972","doi":"https://doi.org/10.1016/j.cma.2026.119060","title":"The Zipped Finite Element Method: High-order shape functions for polygons","display_name":"The Zipped Finite Element Method: High-order shape functions for polygons","publication_year":2026,"publication_date":"2026-05-16","ids":{"openalex":"https://openalex.org/W4416786972","doi":"https://doi.org/10.1016/j.cma.2026.119060"},"language":"en","primary_location":{"id":"doi:10.1016/j.cma.2026.119060","doi":"https://doi.org/10.1016/j.cma.2026.119060","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cma.2026.119060","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0045782526003336/pdf","source":{"id":"https://openalex.org/S40006715","display_name":"Computer Methods in Applied Mechanics and Engineering","issn_l":"0045-7825","issn":["0045-7825","1879-2138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1","vabb-shw"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Methods in Applied Mechanics and Engineering","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.sciencedirect.com/science/article/pii/S0045782526003336/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062535182","display_name":"Stefano Berrone","orcid":"https://orcid.org/0000-0001-8642-4258","observed_orcids":["https://orcid.org/0000-0001-8642-4258"]},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Stefano Berrone","raw_affiliation_strings":["Dipartimento di Scienze Matematiche \u201cG. L. Lagrange\u201d, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, 10129, Italy","Polito - Politecnico di Torino = Polytechnic of Turin (Politecnico di Torino - Corso Duca degli Abruzzi, 24 10129 Torino - Italy)"],"raw_orcid":"https://orcid.org/0000-0001-8642-4258","affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze Matematiche \u201cG. L. Lagrange\u201d, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, 10129, Italy","institution_ids":["https://openalex.org/I177477856"]},{"raw_affiliation_string":"Polito - Politecnico di Torino = Polytechnic of Turin (Politecnico di Torino - Corso Duca degli Abruzzi, 24 10129 Torino - Italy)","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5120436628","display_name":"Lorenzo Neva","orcid":"https://orcid.org/0009-0009-6203-9596","observed_orcids":["https://orcid.org/0009-0009-6203-9596"]},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Lorenzo Neva","raw_affiliation_strings":["Dipartimento di Scienze Matematiche \u201cG. L. Lagrange\u201d, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, 10129, Italy","Polito - Politecnico di Torino = Polytechnic of Turin (Politecnico di Torino - Corso Duca degli Abruzzi, 24 10129 Torino - Italy)"],"raw_orcid":"https://orcid.org/0009-0009-6203-9596","affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze Matematiche \u201cG. L. Lagrange\u201d, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, 10129, Italy","institution_ids":["https://openalex.org/I177477856"]},{"raw_affiliation_string":"Polito - Politecnico di Torino = Polytechnic of Turin (Politecnico di Torino - Corso Duca degli Abruzzi, 24 10129 Torino - Italy)","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031647761","display_name":"Moreno Pintore","orcid":"https://orcid.org/0000-0002-2837-2792","observed_orcids":["https://orcid.org/0000-0002-2837-2792"]},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Moreno Pintore","raw_affiliation_strings":["Laboratoire Jacques-Louis Lions, Sorbonne Universit\u00e9, MEGAVOLT Team, Inria, 4 place Jussieu, Paris, 75005, France","LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)","MEGAVOLT - Apprentissage Automatique et \u00e9quations d\u2019\u00e9volution (LJLL 4 Place Jussieu, 75005 Paris - France)"],"raw_orcid":"https://orcid.org/0000-0002-2837-2792","affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, Sorbonne Universit\u00e9, MEGAVOLT Team, Inria, 4 place Jussieu, Paris, 75005, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]},{"raw_affiliation_string":"LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]},{"raw_affiliation_string":"MEGAVOLT - Apprentissage Automatique et \u00e9quations d\u2019\u00e9volution (LJLL 4 Place Jussieu, 75005 Paris - France)","institution_ids":["https://openalex.org/I4210158291"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058593926","display_name":"Gioana Teora","orcid":"https://orcid.org/0000-0002-8540-3639","observed_orcids":["https://orcid.org/0000-0002-8540-3639"]},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Gioana Teora","raw_affiliation_strings":["Dipartimento di Scienze Matematiche \u201cG. L. Lagrange\u201d, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, 10129, Italy","Polito - Politecnico di Torino = Polytechnic of Turin (Politecnico di Torino - Corso Duca degli Abruzzi, 24 10129 Torino - Italy)"],"raw_orcid":"https://orcid.org/0000-0002-8540-3639","affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze Matematiche \u201cG. L. Lagrange\u201d, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, 10129, Italy","institution_ids":["https://openalex.org/I177477856"]},{"raw_affiliation_string":"Polito - Politecnico di Torino = Polytechnic of Turin (Politecnico di Torino - Corso Duca degli Abruzzi, 24 10129 Torino - Italy)","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028891548","display_name":"Fabio Vicini","orcid":"https://orcid.org/0000-0001-7123-9199","observed_orcids":["https://orcid.org/0000-0001-7123-9199"]},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Fabio Vicini","raw_affiliation_strings":["Dipartimento di Scienze Matematiche \u201cG. L. Lagrange\u201d, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, 10129, Italy","Polito - Politecnico di Torino = Polytechnic of Turin (Politecnico di Torino - Corso Duca degli Abruzzi, 24 10129 Torino - Italy)"],"raw_orcid":"https://orcid.org/0000-0001-7123-9199","affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze Matematiche \u201cG. L. Lagrange\u201d, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, 10129, Italy","institution_ids":["https://openalex.org/I177477856"]},{"raw_affiliation_string":"Polito - Politecnico di Torino = Polytechnic of Turin (Politecnico di Torino - Corso Duca degli Abruzzi, 24 10129 Torino - Italy)","institution_ids":["https://openalex.org/I177477856"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058593926"],"corresponding_institution_ids":["https://openalex.org/I177477856"],"apc_list":{"value":4830,"currency":"USD","value_usd":4830},"apc_paid":{"value":4830,"currency":"USD","value_usd":4830},"fwci":4.2044,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.90451469,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"458","issue":null,"first_page":"119060","last_page":"119060"},"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":0.9560999870300293,"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":0.9560999870300293,"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":0.03310000151395798,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.0044999998062849045,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polygonal-finite-elements","display_name":"polygonal finite elements","score":0.8790000081062317},{"id":"https://openalex.org/keywords/star-shaped-polygons","display_name":"star-shaped polygons","score":0.9350000023841858},{"id":"https://openalex.org/keywords/high-order-shape-functions","display_name":"high-order shape functions","score":0.9980000257492065},{"id":"https://openalex.org/keywords/local-refinement","display_name":"local refinement","score":0.4560000002384186},{"id":"https://openalex.org/keywords/polynomial-basis","display_name":"polynomial basis","score":0.6909999847412109},{"id":"https://openalex.org/keywords/convergence-rate","display_name":"convergence rate","score":0.5170000195503235}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.808899998664856},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6243000030517578},{"id":"https://openalex.org/C93949632","wikidata":"https://www.wikidata.org/wiki/Q5450392","display_name":"Finite element limit analysis","level":4,"score":0.5565999746322632},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.4916999936103821},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4706999957561493},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.46540001034736633},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.44279998540878296},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.3901999890804291},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.3594000041484833},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.35499998927116394},{"id":"https://openalex.org/C4349628","wikidata":"https://www.wikidata.org/wiki/Q17027720","display_name":"hp-FEM","level":5,"score":0.3450999855995178},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.33329999446868896},{"id":"https://openalex.org/C177605945","wikidata":"https://www.wikidata.org/wiki/Q11007230","display_name":"Smoothed finite element method","level":5,"score":0.30550000071525574},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29600000381469727},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2881999909877777},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.2840999960899353},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.275299996137619},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.2709999978542328}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1016/j.cma.2026.119060","doi":"https://doi.org/10.1016/j.cma.2026.119060","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cma.2026.119060","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0045782526003336/pdf","source":{"id":"https://openalex.org/S40006715","display_name":"Computer Methods in Applied Mechanics and Engineering","issn_l":"0045-7825","issn":["0045-7825","1879-2138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1","vabb-shw"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Methods in Applied Mechanics and Engineering","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2511.21302","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2511.21302","pdf_url":"https://arxiv.org/pdf/2511.21302","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-05391322v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-05391322","pdf_url":"https://hal.science/hal-05391322v1/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2025","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:iris.polito.it:11583/3010908","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/11583/3010908","pdf_url":"https://iris.polito.it/bitstream/11583/3010908/1/1-s2.0-S0045782526003336-main.pdf","source":{"id":"https://openalex.org/S7407055329","display_name":"PORTO@Iris","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2511.21302","doi":"https://doi.org/10.48550/arxiv.2511.21302","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2511.21302","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1016/j.cma.2026.119060","doi":"https://doi.org/10.1016/j.cma.2026.119060","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cma.2026.119060","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0045782526003336/pdf","source":{"id":"https://openalex.org/S40006715","display_name":"Computer Methods in Applied Mechanics and Engineering","issn_l":"0045-7825","issn":["0045-7825","1879-2138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1","vabb-shw"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Methods in Applied Mechanics and Engineering","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1016895160","display_name":null,"funder_award_id":"PNRR-M4C2","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G163790046","display_name":null,"funder_award_id":"20227K44ME","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""},{"id":"https://openalex.org/G168130044","display_name":"Institut Mittag-Leffler","funder_award_id":"2021-06594","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"},{"id":"https://openalex.org/G185705749","display_name":null,"funder_award_id":"PNRR - M4 C2","funder_id":"https://openalex.org/F7311471023","funder_display_name":"NextGenerationEU"},{"id":"https://openalex.org/G231133531","display_name":null,"funder_award_id":"PRIN2022","funder_id":"https://openalex.org/F7311471023","funder_display_name":"NextGenerationEU"},{"id":"https://openalex.org/G2372493982","display_name":null,"funder_award_id":"CN00000013","funder_id":"https://openalex.org/F7311471023","funder_display_name":"NextGenerationEU"},{"id":"https://openalex.org/G2754451299","display_name":null,"funder_award_id":"E53D23005510006","funder_id":"https://openalex.org/F5497039910","funder_display_name":"Ministero dell'Istruzione e del Merito"},{"id":"https://openalex.org/G2821824321","display_name":null,"funder_award_id":"PRIN 2022 PNRR","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3212004637","display_name":null,"funder_award_id":"MUR-M4C2 1.5","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3477836205","display_name":null,"funder_award_id":"P2022BH5CB_001","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4823202879","display_name":null,"funder_award_id":"20227K44ME","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5245466801","display_name":null,"funder_award_id":"PRIN 2022","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""},{"id":"https://openalex.org/G5356239126","display_name":null,"funder_award_id":"CN00000013","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5636153502","display_name":null,"funder_award_id":"E53C24001950001","funder_id":"https://openalex.org/F4320334079","funder_display_name":"Gruppo Nazionale per il Calcolo Scientifico"},{"id":"https://openalex.org/G5796505130","display_name":null,"funder_award_id":"PRIN 2022 PNRR","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""},{"id":"https://openalex.org/G6327910654","display_name":null,"funder_award_id":"ECS_00000036","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G6447339223","display_name":null,"funder_award_id":"ECS00000036","funder_id":"https://openalex.org/F5497039910","funder_display_name":"Ministero dell'Istruzione e del Merito"},{"id":"https://openalex.org/G6566566086","display_name":null,"funder_award_id":"E13C22000990001","funder_id":"https://openalex.org/F5497039910","funder_display_name":"Ministero dell'Istruzione e del Merito"},{"id":"https://openalex.org/G7055482998","display_name":null,"funder_award_id":"ECS00000036","funder_id":"https://openalex.org/F7311471023","funder_display_name":"NextGenerationEU"},{"id":"https://openalex.org/G7103356121","display_name":null,"funder_award_id":"E53C24001950001","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""},{"id":"https://openalex.org/G792356639","display_name":null,"funder_award_id":"CUPE53C24001950001","funder_id":"https://openalex.org/F4320334079","funder_display_name":"Gruppo Nazionale per il Calcolo Scientifico"},{"id":"https://openalex.org/G8177070606","display_name":null,"funder_award_id":"E13C22000990001","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8323133587","display_name":null,"funder_award_id":"ECS00000036","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""},{"id":"https://openalex.org/G972786147","display_name":null,"funder_award_id":"PRIN-2022","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G990108450","display_name":null,"funder_award_id":"CUP - E53C24001950001","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":"https://ror.org/02rnys730"},{"id":"https://openalex.org/F5497039910","display_name":"Ministero dell'Istruzione e del Merito","ror":"https://ror.org/01ehyh486"},{"id":"https://openalex.org/F7311471023","display_name":"NextGenerationEU","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4416786972.pdf","grobid_xml":"https://content.openalex.org/works/W4416786972.grobid-xml"},"referenced_works_count":63,"referenced_works":["https://openalex.org/W19451620","https://openalex.org/W1509227685","https://openalex.org/W1840625515","https://openalex.org/W1863866458","https://openalex.org/W1968819696","https://openalex.org/W2000425991","https://openalex.org/W2008805697","https://openalex.org/W2034311185","https://openalex.org/W2047049848","https://openalex.org/W2055384757","https://openalex.org/W2062807652","https://openalex.org/W2064198982","https://openalex.org/W2081971452","https://openalex.org/W2084279782","https://openalex.org/W2091303848","https://openalex.org/W2092891737","https://openalex.org/W2093564228","https://openalex.org/W2093759403","https://openalex.org/W2099760642","https://openalex.org/W2106354335","https://openalex.org/W2106715384","https://openalex.org/W2108406576","https://openalex.org/W2117225169","https://openalex.org/W2117496726","https://openalex.org/W2139933850","https://openalex.org/W2146736323","https://openalex.org/W2168914934","https://openalex.org/W2169464027","https://openalex.org/W2464830121","https://openalex.org/W2554058494","https://openalex.org/W2625955988","https://openalex.org/W2684097608","https://openalex.org/W2788270408","https://openalex.org/W2792794485","https://openalex.org/W2883313970","https://openalex.org/W2891579741","https://openalex.org/W2950894588","https://openalex.org/W2963034144","https://openalex.org/W2964307594","https://openalex.org/W2972385792","https://openalex.org/W2996239409","https://openalex.org/W3043465248","https://openalex.org/W3204708751","https://openalex.org/W4200244989","https://openalex.org/W4221146165","https://openalex.org/W4233370650","https://openalex.org/W4239569515","https://openalex.org/W4252814261","https://openalex.org/W4286611178","https://openalex.org/W4389982348","https://openalex.org/W4399647743","https://openalex.org/W4405562504","https://openalex.org/W4405634984","https://openalex.org/W4407407855","https://openalex.org/W4409251188","https://openalex.org/W4410006385","https://openalex.org/W4411917698","https://openalex.org/W4414995300","https://openalex.org/W4416397782","https://openalex.org/W4416724083","https://openalex.org/W4416966150","https://openalex.org/W6949471517","https://openalex.org/W7124276808"],"related_works":["https://openalex.org/W7213997531","https://openalex.org/W1980460750","https://openalex.org/W1999218292","https://openalex.org/W2618866991","https://openalex.org/W2099760642","https://openalex.org/W4385710486","https://openalex.org/W2050037551","https://openalex.org/W3005518383","https://openalex.org/W4221146165","https://openalex.org/W7061062496"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"present":[4],"a":[5,38],"new":[6],"polygonal":[7],"finite":[8,32,70,93],"element":[9,33,71,94],"method,":[10],"called":[11],"the":[12,51,54,61,76,85,88,92,103],"Zipped":[13],"Finite":[14],"Element":[15],"Method,":[16],"for":[17,50],"star-shaped":[18],"polygons.":[19],"The":[20,68],"proposed":[21],"approach":[22],"constructs":[23],"high-order":[24],"shape":[25,55],"functions":[26,35,56],"as":[27],"linear":[28],"combinations":[29],"of":[30,42,53,64,66,75,91,106],"standard":[31],"basis":[34],"defined":[36],"on":[37],"local":[39],"trivial":[40],"sub-triangulation":[41],"each":[43],"element.":[44],"This":[45],"refinement":[46],"is":[47],"used":[48],"solely":[49],"construction":[52],"and":[57,79],"does":[58],"not":[59],"affect":[60],"final":[62],"number":[63],"degrees":[65],"freedom.":[67],"resulting":[69],"space":[72],"includes":[73],"polynomials":[74],"desired":[77],"order":[78],"preserves":[80],"conformity":[81],"across":[82],"elements.":[83],"Consequently,":[84],"method":[86],"inherits":[87],"convergence":[89],"properties":[90],"framework":[95],"under":[96],"suitable":[97],"mesh":[98],"assumptions.":[99],"Numerical":[100],"experiments":[101],"confirm":[102],"expected":[104],"rates":[105],"convergence.":[107]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2025-11-28T00:00:00"}