{"id":"https://openalex.org/W2963137730","doi":"https://doi.org/10.1515/cmam-2018-0202","title":"A Non-conforming Saddle Point Least Squares Approach for an Elliptic Interface Problem","display_name":"A Non-conforming Saddle Point Least Squares Approach for an Elliptic Interface Problem","publication_year":2019,"publication_date":"2019-04-13","ids":{"openalex":"https://openalex.org/W2963137730","doi":"https://doi.org/10.1515/cmam-2018-0202","mag":"2963137730"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2018-0202","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2018-0202","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":"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/A5106792936","display_name":"Constantin B\u01cecu\u0163\u01ce","orcid":null},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Constantin Bacuta","raw_affiliation_strings":["Department of Mathematics , University of Delaware , 501 Ewing Hall , Newark , Delaware 19716 , USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , University of Delaware , 501 Ewing Hall , Newark , Delaware 19716 , USA","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019999271","display_name":"Jacob Jacavage","orcid":null},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jacob Jacavage","raw_affiliation_strings":["Department of Mathematics , University of Delaware , 501 Ewing Hall , Newark , Delaware 19716 , USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , University of Delaware , 501 Ewing Hall , Newark , Delaware 19716 , USA","institution_ids":["https://openalex.org/I86501945"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5106792936"],"corresponding_institution_ids":["https://openalex.org/I86501945"],"apc_list":null,"apc_paid":null,"fwci":1.1639,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.76573548,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"19","issue":"3","first_page":"399","last_page":"414"},"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":1.0,"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":1.0,"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":1.0,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.998199999332428,"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/saddle-point","display_name":"Saddle point","score":0.7559360265731812},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6554126739501953},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6038161516189575},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.570847749710083},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5400550961494446},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.44858503341674805},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4389798939228058},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3923090994358063},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28605589270591736},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.171028733253479}],"concepts":[{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.7559360265731812},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6554126739501953},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6038161516189575},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.570847749710083},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5400550961494446},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.44858503341674805},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4389798939228058},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3923090994358063},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28605589270591736},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.171028733253479},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/cmam-2018-0202","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2018-0202","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1642748088","display_name":null,"funder_award_id":"DMS-1522454","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":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W213624366","https://openalex.org/W1524015806","https://openalex.org/W1994244302","https://openalex.org/W1995404822","https://openalex.org/W1998897348","https://openalex.org/W2003583081","https://openalex.org/W2020854958","https://openalex.org/W2026692104","https://openalex.org/W2040896717","https://openalex.org/W2048248082","https://openalex.org/W2068370589","https://openalex.org/W2086298877","https://openalex.org/W2119121660","https://openalex.org/W2122948266","https://openalex.org/W2124413011","https://openalex.org/W2129114523","https://openalex.org/W2134350470","https://openalex.org/W2135502192","https://openalex.org/W2137365186","https://openalex.org/W2157721313","https://openalex.org/W2208898408","https://openalex.org/W2318096968","https://openalex.org/W2505585705","https://openalex.org/W2557707180","https://openalex.org/W2964243978","https://openalex.org/W4256087260"],"related_works":["https://openalex.org/W4236459141","https://openalex.org/W4205304778","https://openalex.org/W2020252434","https://openalex.org/W73248859","https://openalex.org/W2584253892","https://openalex.org/W2350324449","https://openalex.org/W1572705989","https://openalex.org/W119381072","https://openalex.org/W2034033896","https://openalex.org/W4240399920"],"abstract_inverted_index":{"Abstract":[0],"We":[1,62,96],"present":[2],"a":[3,23,47],"non-conforming":[4,68],"least":[5],"squares":[6],"method":[7,19,30,42,66],"for":[8,54,67,92,117,140],"approximating":[9],"solutions":[10],"of":[11,57,77,113,134],"second-order":[12],"elliptic":[13],"problems":[14],"with":[15,103,124],"discontinuous":[16],"coefficients.":[17],"The":[18,40,111],"is":[20,51],"based":[21,35],"on":[22,36,98],"general":[24],"Saddle":[25],"Point":[26],"Least":[27],"Squares":[28],"(SPLS)":[29],"introduced":[31],"in":[32],"previous":[33],"work":[34],"conforming":[37],"discrete":[38,48],"spaces.":[39,61,95],"SPLS":[41,65],"has":[43],"the":[44,64,78,81,93,114,118,135,149],"advantage":[45],"that":[46,106],"inf-sup":[49],"condition":[50],"automatically":[52],"satisfied":[53],"standard":[55],"choices":[56],"test":[58,94],"and":[59,142],"trial":[60,71,101,119],"explore":[63],"finite":[69],"element":[70],"spaces":[72,102],"which":[73],"allow":[74],"higher-order":[75],"approximation":[76],"fluxes.":[79],"For":[80],"proposed":[82,150],"iterative":[83],"solvers,":[84],"inversion":[85],"at":[86],"each":[87],"step":[88],"requires":[89],"bases":[90],"only":[91],"focus":[97],"using":[99],"projection":[100],"local":[104,115],"projections":[105,116],"are":[107,145],"easy":[108],"to":[109,129,131,147],"compute.":[110],"choice":[112],"space":[120],"can":[121],"be":[122],"combined":[123],"classical":[125],"gradient":[126],"recovery":[127],"techniques":[128],"lead":[130],"quasi-optimal":[132],"approximations":[133],"global":[136],"flux.":[137],"Numerical":[138],"results":[139],"2D":[141],"3D":[143],"domains":[144],"included":[146],"support":[148],"method.":[151]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
