{"id":"https://openalex.org/W3048967807","doi":"https://doi.org/10.1515/cmam-2020-0120","title":"A General Superapproximation Result","display_name":"A General Superapproximation Result","publication_year":2020,"publication_date":"2020-09-01","ids":{"openalex":"https://openalex.org/W3048967807","doi":"https://doi.org/10.1515/cmam-2020-0120","mag":"3048967807"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2020-0120","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2020-0120","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2008.04689","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","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"]},{"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":1,"corresponding_author_ids":["https://openalex.org/A5061146602"],"corresponding_institution_ids":["https://openalex.org/I121820613"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09499451,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":"4","first_page":"763","last_page":"767"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/geology","display_name":"Geology","score":0.32359570264816284},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32067233324050903}],"concepts":[{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.32359570264816284},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32067233324050903}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1515/cmam-2020-0120","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2020-0120","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"},{"id":"pmh:oai:arXiv.org:2008.04689","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2008.04689","pdf_url":"https://arxiv.org/pdf/2008.04689","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:3048967807","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2008.04689.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:digitalcommons.lsu.edu:mathematics_pubs-1089","is_oa":true,"landing_page_url":"https://digitalcommons.lsu.edu/mathematics_pubs/90","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"},{"id":"pmh:oai:repository.lsu.edu:mathematics_pubs-1089","is_oa":true,"landing_page_url":"https://repository.lsu.edu/mathematics_pubs/90","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"},{"id":"doi:10.48550/arxiv.2008.04689","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2008.04689","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2008.04689","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2008.04689","pdf_url":"https://arxiv.org/pdf/2008.04689","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"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/W3048967807.pdf","grobid_xml":"https://content.openalex.org/works/W3048967807.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W94976795","https://openalex.org/W829592196","https://openalex.org/W2001012793","https://openalex.org/W2041523977","https://openalex.org/W2071557235","https://openalex.org/W2077070913","https://openalex.org/W2092856721","https://openalex.org/W3082208047","https://openalex.org/W3204708751","https://openalex.org/W4210300254"],"related_works":["https://openalex.org/W3083777511","https://openalex.org/W167372214","https://openalex.org/W2068528619","https://openalex.org/W2262353123","https://openalex.org/W2028825247","https://openalex.org/W2328013952","https://openalex.org/W2580879722","https://openalex.org/W2062071677","https://openalex.org/W2476255052","https://openalex.org/W2800818947","https://openalex.org/W2803791828","https://openalex.org/W1609935523","https://openalex.org/W3142677586","https://openalex.org/W2068499866","https://openalex.org/W2268662048","https://openalex.org/W2572109715","https://openalex.org/W2493380677","https://openalex.org/W2808572572","https://openalex.org/W2196858524","https://openalex.org/W136001369"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"general":[2],"superapproximation":[3],"result":[4],"is":[5,11],"derived":[6],"in":[7],"this":[8],"paper":[9],"which":[10],"useful":[12],"for":[13],"the":[14],"local/interior":[15],"error":[16],"analysis":[17],"of":[18],"finite":[19],"element":[20],"methods.":[21]},"counts_by_year":[],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}