{"id":"https://openalex.org/W2990129859","doi":"https://doi.org/10.1007/s00211-021-01221-8","title":"A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems","display_name":"A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems","publication_year":2021,"publication_date":"2021-08-01","ids":{"openalex":"https://openalex.org/W2990129859","doi":"https://doi.org/10.1007/s00211-021-01221-8","mag":"2990129859"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-021-01221-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-021-01221-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","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/1911.12298","any_repository_has_fulltext":true},"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"]}],"countries":["CL"],"is_corresponding":true,"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, Facultad de Ciencias F\u00edsicas y Matem\u00e1ticas, Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile","Departamento de Ingenier\u00eda Matem\u00e1tica, Facultad de Ciencias F\u00edsicas y Matem\u00e1ticas Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile"],"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, Facultad de Ciencias F\u00edsicas y Matem\u00e1ticas, Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I172787465"]},{"raw_affiliation_string":"Departamento de Ingenier\u00eda Matem\u00e1tica, Facultad de Ciencias F\u00edsicas y Matem\u00e1ticas Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I172787465"]}]},{"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/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]},{"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":false,"raw_author_name":"Tonatiuh S\u00e1nchez-Vizuet","raw_affiliation_strings":["Courant Institute of Mathematical Sciences, New York University, New York, USA","Department of Mathematics, The University of Arizona, Tucson, AZ, USA","Department of Mathematics, The University of Arizona, Tucson, USA"],"affiliations":[{"raw_affiliation_string":"Courant Institute of Mathematical Sciences, New York University, New York, USA","institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"raw_affiliation_string":"Department of Mathematics, The University of Arizona, Tucson, AZ, USA","institution_ids":["https://openalex.org/I138006243"]},{"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 E. 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, Facultad de Ciencias F\u00edsicas y Matem\u00e1ticas, Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile","Departamento de Ingenier\u00eda Matem\u00e1tica, Facultad de Ciencias F\u00edsicas y Matem\u00e1ticas Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile"],"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, Facultad de Ciencias F\u00edsicas y Matem\u00e1ticas, Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I172787465"]},{"raw_affiliation_string":"Departamento de Ingenier\u00eda Matem\u00e1tica, Facultad de Ciencias F\u00edsicas y Matem\u00e1ticas Universidad de Concepci\u00f3n, Concepci\u00f3n, Chile","institution_ids":["https://openalex.org/I172787465"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5001242994"],"corresponding_institution_ids":["https://openalex.org/I172787465"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.00460136,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"148","issue":"4","first_page":"919","last_page":"958"},"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":0.9975000023841858,"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":0.9969000220298767,"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/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.7805829644203186},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6984790563583374},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.6672202944755554},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6609620451927185},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6456011533737183},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.57122802734375},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5579074025154114},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5309602618217468},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5290386080741882},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.48243436217308044},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.41851866245269775},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3579067587852478},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.2557811141014099},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15758004784584045},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0822136402130127}],"concepts":[{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.7805829644203186},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6984790563583374},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.6672202944755554},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6609620451927185},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6456011533737183},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.57122802734375},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5579074025154114},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5309602618217468},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5290386080741882},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.48243436217308044},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.41851866245269775},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3579067587852478},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2557811141014099},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15758004784584045},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0822136402130127},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00211-021-01221-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-021-01221-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:repository.arizona.edu:10150/661299","is_oa":false,"landing_page_url":"http://hdl.handle.net/10150/661299","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":"Numerische Mathematik","raw_type":"Article"},{"id":"pmh:oai:arXiv.org:1911.12298","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1911.12298","pdf_url":"https://arxiv.org/pdf/1911.12298","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":null,"raw_type":"text"},{"id":"mag:2990129859","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1911.12298","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":"doi:10.48550/arxiv.1911.12298","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1911.12298","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:1911.12298","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1911.12298","pdf_url":"https://arxiv.org/pdf/1911.12298","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":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.41999998688697815,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W582995095","https://openalex.org/W609902030","https://openalex.org/W1978567204","https://openalex.org/W1980455776","https://openalex.org/W1981121062","https://openalex.org/W1981198949","https://openalex.org/W1984904841","https://openalex.org/W1991960225","https://openalex.org/W1993443533","https://openalex.org/W1997972083","https://openalex.org/W2017786109","https://openalex.org/W2037922945","https://openalex.org/W2040355410","https://openalex.org/W2059381439","https://openalex.org/W2071815484","https://openalex.org/W2092071033","https://openalex.org/W2496521767","https://openalex.org/W2510227433","https://openalex.org/W2773957242","https://openalex.org/W2901687459","https://openalex.org/W2948484109","https://openalex.org/W2963552123","https://openalex.org/W2964523224","https://openalex.org/W2970692887","https://openalex.org/W3009222066","https://openalex.org/W3012458722","https://openalex.org/W3103747778","https://openalex.org/W3204708751"],"related_works":["https://openalex.org/W3123442177","https://openalex.org/W2892600278","https://openalex.org/W3120379877","https://openalex.org/W2088822153","https://openalex.org/W2019236965","https://openalex.org/W2550571781","https://openalex.org/W2090753180","https://openalex.org/W2266413152","https://openalex.org/W271288903","https://openalex.org/W2209958681","https://openalex.org/W2079626492","https://openalex.org/W2417586711","https://openalex.org/W2015788535","https://openalex.org/W1980459989","https://openalex.org/W2953032701","https://openalex.org/W1914905521","https://openalex.org/W3033922351","https://openalex.org/W3101259191","https://openalex.org/W2951535072","https://openalex.org/W2787931359"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
