{"id":"https://openalex.org/W4301606577","doi":"https://doi.org/10.1515/cmam-2022-0127","title":"An Interior Maximum Norm Error Estimate for the Symmetric Interior Penalty Method on Planar Polygonal Domains","display_name":"An Interior Maximum Norm Error Estimate for the Symmetric Interior Penalty Method on Planar Polygonal Domains","publication_year":2022,"publication_date":"2022-10-05","ids":{"openalex":"https://openalex.org/W4301606577","doi":"https://doi.org/10.1515/cmam-2022-0127"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2022-0127","is_oa":true,"landing_page_url":"https://doi.org/10.1515/cmam-2022-0127","pdf_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2022-0127/pdf","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":true,"oa_status":"bronze","oa_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2022-0127/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061146602","display_name":"Susanne C. Brenner","orcid":"https://orcid.org/0000-0001-8330-5667"},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Susanne C. Brenner","raw_affiliation_strings":["Department of Mathematics and Center for Computation and Technology , Louisiana State University , Baton Rouge , LA 70803 , USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Center for Computation and Technology , Louisiana State University , Baton Rouge , LA 70803 , USA","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106074354","display_name":"Li-yeng Sung","orcid":"https://orcid.org/0000-0002-6100-2160"},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Li-Yeng Sung","raw_affiliation_strings":["Department of Mathematics and Center for Computation and Technology , Louisiana State University , Baton Rouge , LA 70803 , USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Center for Computation and Technology , Louisiana State University , Baton Rouge , LA 70803 , USA","institution_ids":["https://openalex.org/I121820613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061146602"],"corresponding_institution_ids":["https://openalex.org/I121820613"],"apc_list":null,"apc_paid":null,"fwci":0.3323,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.51501729,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"23","issue":"1","first_page":"49","last_page":"63"},"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":0.9980000257492065,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.5830311179161072},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5552220940589905},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5016770362854004},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.48303017020225525},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.41903120279312134},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4164999723434448},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4140748977661133},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.30234986543655396},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24523821473121643},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.06484723091125488},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.052296072244644165}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5830311179161072},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5552220940589905},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5016770362854004},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.48303017020225525},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.41903120279312134},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4164999723434448},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4140748977661133},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.30234986543655396},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24523821473121643},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.06484723091125488},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.052296072244644165},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1515/cmam-2022-0127","is_oa":true,"landing_page_url":"https://doi.org/10.1515/cmam-2022-0127","pdf_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2022-0127/pdf","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"},{"id":"pmh:oai:repository.lsu.edu:mathematics_pubs-2429","is_oa":true,"landing_page_url":"https://repository.lsu.edu/context/mathematics_pubs/article/2429/viewcontent/An_interior_maximum_norm_error_estimate_for_the_symmetric_penalty_method.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1515/cmam-2022-0127","is_oa":true,"landing_page_url":"https://doi.org/10.1515/cmam-2022-0127","pdf_url":"https://www.degruyter.com/document/doi/10.1515/cmam-2022-0127/pdf","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"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.4099999964237213}],"awards":[{"id":"https://openalex.org/G4596896976","display_name":null,"funder_award_id":"DMS-22-08404","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6701812666","display_name":null,"funder_award_id":"DMS-19-13035","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4301606577.pdf","grobid_xml":"https://content.openalex.org/works/W4301606577.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W50503297","https://openalex.org/W94976795","https://openalex.org/W1866311589","https://openalex.org/W1976213814","https://openalex.org/W2006453627","https://openalex.org/W2007751122","https://openalex.org/W2029725158","https://openalex.org/W2031088298","https://openalex.org/W2053583759","https://openalex.org/W2065279412","https://openalex.org/W2071557235","https://openalex.org/W2078434021","https://openalex.org/W2079883859","https://openalex.org/W2084169624","https://openalex.org/W2088288520","https://openalex.org/W2130350269","https://openalex.org/W2145995744","https://openalex.org/W2414340843","https://openalex.org/W2551630517","https://openalex.org/W3082208047","https://openalex.org/W3083777511","https://openalex.org/W3136613310","https://openalex.org/W3204708751","https://openalex.org/W4210300254","https://openalex.org/W4233665781","https://openalex.org/W4250220742","https://openalex.org/W4252219741"],"related_works":["https://openalex.org/W3096998545","https://openalex.org/W1976565091","https://openalex.org/W2326097457","https://openalex.org/W2782024549","https://openalex.org/W1591009548","https://openalex.org/W2076009002","https://openalex.org/W2144257102","https://openalex.org/W2132990239","https://openalex.org/W2070855413","https://openalex.org/W2070603494"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"establish":[2],"an":[3],"interior":[4,12],"maximum":[5],"norm":[6],"error":[7],"estimate":[8],"for":[9],"the":[10],"symmetric":[11],"penalty":[13],"method":[14],"on":[15],"planar":[16],"polygonal":[17],"domains.":[18]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}