{"id":"https://openalex.org/W3161697753","doi":"https://doi.org/10.1007/s10915-022-01767-1","title":"Error Analysis of an Unfitted HDG Method for a Class of Non-linear Elliptic Problems","display_name":"Error Analysis of an Unfitted HDG Method for a Class of Non-linear Elliptic Problems","publication_year":2022,"publication_date":"2022-02-04","ids":{"openalex":"https://openalex.org/W3161697753","doi":"https://doi.org/10.1007/s10915-022-01767-1","mag":"3161697753"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-022-01767-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-022-01767-1","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","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/A5001242994","display_name":"Nestor S\u00e1nchez","orcid":"https://orcid.org/0000-0002-3235-3113"},"institutions":[{"id":"https://openalex.org/I172787465","display_name":"University of Concepci\u00f3n","ror":"https://ror.org/0460jpj73","country_code":"CL","type":"education","lineage":["https://openalex.org/I172787465"]},{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["CL","MX"],"is_corresponding":false,"raw_author_name":"Nestor S\u00e1nchez","raw_affiliation_strings":["Centro de Investigaci\u00f3n en Ingenier\u00eda Matem\u00e1tica (CI2MA), Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile","Departamento de Ingenier\u00eda Matem\u00e1tica, Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile","Instituto de Matem\u00e1ticas, Unidad Juriquilla, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Juriquilla, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro de Investigaci\u00f3n en Ingenier\u00eda Matem\u00e1tica (CI2MA), Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I172787465"]},{"raw_affiliation_string":"Departamento de Ingenier\u00eda Matem\u00e1tica, Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I172787465"]},{"raw_affiliation_string":"Instituto de Matem\u00e1ticas, Unidad Juriquilla, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Juriquilla, Mexico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085942872","display_name":"Tonatiuh S\u00e1nchez-Vizuet","orcid":"https://orcid.org/0000-0002-8930-2798"},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Tonatiuh S\u00e1nchez-Vizuet","raw_affiliation_strings":["Department of Mathematics, The University of Arizona, Tucson, USA"],"raw_orcid":"https://orcid.org/0000-0002-8930-2798","affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Arizona, Tucson, USA","institution_ids":["https://openalex.org/I138006243"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035628034","display_name":"Manuel Solano","orcid":"https://orcid.org/0000-0001-8589-3685"},"institutions":[{"id":"https://openalex.org/I172787465","display_name":"University of Concepci\u00f3n","ror":"https://ror.org/0460jpj73","country_code":"CL","type":"education","lineage":["https://openalex.org/I172787465"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Manuel Solano","raw_affiliation_strings":["Centro de Investigaci\u00f3n en Ingenier\u00eda Matem\u00e1tica (CI2MA), Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile","Departamento de Ingenier\u00eda Matem\u00e1tica, Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro de Investigaci\u00f3n en Ingenier\u00eda Matem\u00e1tica (CI2MA), Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I172787465"]},{"raw_affiliation_string":"Departamento de Ingenier\u00eda Matem\u00e1tica, Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I172787465"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5085942872"],"corresponding_institution_ids":["https://openalex.org/I138006243"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4984,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.53839153,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"90","issue":"3","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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9991000294685364,"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/T10514","display_name":"Numerical methods in engineering","score":0.9976999759674072,"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/mathematics","display_name":"Mathematics","score":0.8031868934631348},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6309658288955688},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5358591675758362},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.5265612602233887},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5058843493461609},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.49498170614242554},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47430089116096497},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.46724629402160645},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4657509922981262},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4199777841567993},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.2560015320777893}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8031868934631348},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6309658288955688},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5358591675758362},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.5265612602233887},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5058843493461609},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.49498170614242554},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47430089116096497},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.46724629402160645},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4657509922981262},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4199777841567993},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2560015320777893},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-022-01767-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-022-01767-1","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:repository.arizona.edu:10150/663528","is_oa":false,"landing_page_url":"http://hdl.handle.net/10150/663528","pdf_url":null,"source":{"id":"https://openalex.org/S4306400271","display_name":"UA Campus Repository (The University of Arizona)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138006243","host_organization_name":"University of Arizona","host_organization_lineage":["https://openalex.org/I138006243"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Journal of Scientific Computing","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3013393450","display_name":null,"funder_award_id":"NSF-DMS-2137305","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1673348683","https://openalex.org/W1981121062","https://openalex.org/W1981198949","https://openalex.org/W1984904841","https://openalex.org/W1993443533","https://openalex.org/W1997210074","https://openalex.org/W1997972083","https://openalex.org/W1998894128","https://openalex.org/W2000224403","https://openalex.org/W2058256448","https://openalex.org/W2435518040","https://openalex.org/W2773957242","https://openalex.org/W2901687459","https://openalex.org/W2984453791","https://openalex.org/W3009222066","https://openalex.org/W3021538997","https://openalex.org/W3033029753","https://openalex.org/W3103747778","https://openalex.org/W3136146127","https://openalex.org/W3194658624"],"related_works":["https://openalex.org/W623557396","https://openalex.org/W2120874885","https://openalex.org/W4388311650","https://openalex.org/W1974056099","https://openalex.org/W4245343541","https://openalex.org/W2386077341","https://openalex.org/W563589758","https://openalex.org/W5922282","https://openalex.org/W2133690079","https://openalex.org/W2111215486"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
