{"id":"https://openalex.org/W1991647816","doi":"https://doi.org/10.1007/s002110050468","title":"The Mortar finite element method with Lagrange multipliers","display_name":"The Mortar finite element method with Lagrange multipliers","publication_year":1999,"publication_date":"1999-12-01","ids":{"openalex":"https://openalex.org/W1991647816","doi":"https://doi.org/10.1007/s002110050468","mag":"1991647816"},"language":"en","primary_location":{"id":"doi:10.1007/s002110050468","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002110050468","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":"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/A5111586176","display_name":"Faker Ben Belgacem","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I196454796","display_name":"Institut National des Sciences Appliqu\u00e9es de Toulouse","ror":"https://ror.org/01h8pf755","country_code":"FR","type":"education","lineage":["https://openalex.org/I196454796"]},{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Faker Ben Belgacem","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques pour l'Industrie et la Physique, Unit\u00e9 Mixte de Recherche CNRS\u2013UPS\u2013INSAT\u2013UT1 (UMR 5640), Universit\u00e9 Paul Sabatier, 118 route de Narbonne, F-31062 Toulouse Cedex 04, France\n, , , , , , FR","Laboratoire de Math\u00e9matiques pour l'Industrie et la Physique, Unit\u00e9 Mixte de Recherche CNRS\u2013UPS\u2013INSAT\u2013UT1 (UMR 5640), Universit\u00e9 Paul Sabatier, 118 route de Narbonne, F-31062 Toulouse Cedex 04, France#N#, , FR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques pour l'Industrie et la Physique, Unit\u00e9 Mixte de Recherche CNRS\u2013UPS\u2013INSAT\u2013UT1 (UMR 5640), Universit\u00e9 Paul Sabatier, 118 route de Narbonne, F-31062 Toulouse Cedex 04, France\n, , , , , , FR","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I196454796","https://openalex.org/I4210155549"]},{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques pour l'Industrie et la Physique, Unit\u00e9 Mixte de Recherche CNRS\u2013UPS\u2013INSAT\u2013UT1 (UMR 5640), Universit\u00e9 Paul Sabatier, 118 route de Narbonne, F-31062 Toulouse Cedex 04, France#N#, , FR","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I196454796"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5111586176"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I196454796","https://openalex.org/I4210155549"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":45.2161,"has_fulltext":false,"cited_by_count":665,"citation_normalized_percentile":{"value":0.99987051,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"84","issue":"2","first_page":"173","last_page":"197"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9997000098228455,"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":0.9987999796867371,"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/mortar-methods","display_name":"Mortar methods","score":0.9161050319671631},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8455690741539001},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.8407394886016846},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.8299298286437988},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7408366203308105},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6893205642700195},{"id":"https://openalex.org/keywords/mortar","display_name":"Mortar","score":0.5407125949859619},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.48178693652153015},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47303029894828796},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.44483959674835205},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38719579577445984},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.30115270614624023},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.06140691041946411}],"concepts":[{"id":"https://openalex.org/C97110765","wikidata":"https://www.wikidata.org/wiki/Q17099078","display_name":"Mortar methods","level":4,"score":0.9161050319671631},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8455690741539001},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.8407394886016846},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.8299298286437988},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7408366203308105},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6893205642700195},{"id":"https://openalex.org/C130767629","wikidata":"https://www.wikidata.org/wiki/Q7905205","display_name":"Mortar","level":2,"score":0.5407125949859619},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.48178693652153015},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47303029894828796},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.44483959674835205},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38719579577445984},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.30115270614624023},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.06140691041946411},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s002110050468","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002110050468","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1533889494","https://openalex.org/W1570966844","https://openalex.org/W1586623601","https://openalex.org/W1596095530","https://openalex.org/W1674659126","https://openalex.org/W1708679080","https://openalex.org/W1988570599","https://openalex.org/W1989331860","https://openalex.org/W1994484297","https://openalex.org/W2014669217","https://openalex.org/W2039892436","https://openalex.org/W2041523977","https://openalex.org/W2094281210","https://openalex.org/W2199169705","https://openalex.org/W2527365358"],"related_works":["https://openalex.org/W286248473","https://openalex.org/W2412889084","https://openalex.org/W2092836554","https://openalex.org/W2059321831","https://openalex.org/W1253925978","https://openalex.org/W2097860994","https://openalex.org/W2074745806","https://openalex.org/W3145205507","https://openalex.org/W2255375681","https://openalex.org/W2030348094"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":19},{"year":2020,"cited_by_count":22},{"year":2019,"cited_by_count":22},{"year":2018,"cited_by_count":34},{"year":2017,"cited_by_count":31},{"year":2016,"cited_by_count":27},{"year":2015,"cited_by_count":22},{"year":2014,"cited_by_count":26},{"year":2013,"cited_by_count":21},{"year":2012,"cited_by_count":22}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}