{"id":"https://openalex.org/W7135048173","doi":"https://doi.org/10.1016/j.camwa.2026.03.008","title":"Linearized absorbing boundary conditions for Helmholtz eigenvalue problems","display_name":"Linearized absorbing boundary conditions for Helmholtz eigenvalue problems","publication_year":2026,"publication_date":"2026-03-12","ids":{"openalex":"https://openalex.org/W7135048173","doi":"https://doi.org/10.1016/j.camwa.2026.03.008"},"language":"en","primary_location":{"id":"doi:10.1016/j.camwa.2026.03.008","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.camwa.2026.03.008","pdf_url":null,"source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Mathematics with Applications","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":null,"display_name":"Augustin Leclerc","orcid":"https://orcid.org/0009-0004-7067-5916"},"institutions":[{"id":"https://openalex.org/I112991645","display_name":"Airbus (France)","ror":"https://ror.org/023qdcg29","country_code":"FR","type":"company","lineage":["https://openalex.org/I112991645","https://openalex.org/I4210121748"]},{"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/I144889574","display_name":"Universit\u00e9 de Pau et des Pays de l'Adour","ror":"https://ror.org/01frn9647","country_code":"FR","type":"education","lineage":["https://openalex.org/I144889574"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I62396329","display_name":"Universit\u00e9 de Rouen Normandie","ror":"https://ror.org/03nhjew95","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]},{"id":"https://openalex.org/I88814501","display_name":"Institut National des Sciences Appliqu\u00e9es Rouen Normandie","ror":"https://ror.org/020ws7586","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I88814501"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Augustin Leclerc","raw_affiliation_strings":["CONCACE, joint Inria Bordeaux, Airbus & Cerfacs, France","INSA Rouen Normandie, Normandie Univ., LMI UR3226, Rouen, 76000, France","MAKUTU, Inria, TotalEnergies, Universite de Pau et des Pays de l\u2019Adour, CNRS UMR 5142, Pau, 64000, France"],"raw_orcid":"https://orcid.org/0009-0004-7067-5916","affiliations":[{"raw_affiliation_string":"CONCACE, joint Inria Bordeaux, Airbus & Cerfacs, France","institution_ids":["https://openalex.org/I112991645"]},{"raw_affiliation_string":"INSA Rouen Normandie, Normandie Univ., LMI UR3226, Rouen, 76000, France","institution_ids":["https://openalex.org/I62396329","https://openalex.org/I88814501","https://openalex.org/I4210105918"]},{"raw_affiliation_string":"MAKUTU, Inria, TotalEnergies, Universite de Pau et des Pays de l\u2019Adour, CNRS UMR 5142, Pau, 64000, France","institution_ids":["https://openalex.org/I144889574","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090280120","display_name":"H\u00e9l\u00e8ne Barucq","orcid":"https://orcid.org/0000-0003-2788-1517"},"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/I144889574","display_name":"Universit\u00e9 de Pau et des Pays de l'Adour","ror":"https://ror.org/01frn9647","country_code":"FR","type":"education","lineage":["https://openalex.org/I144889574"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"H\u00e9l\u00e8ne Barucq","raw_affiliation_strings":["MAKUTU, Inria, TotalEnergies, Universite de Pau et des Pays de l\u2019Adour, CNRS UMR 5142, Pau, 64000, France"],"raw_orcid":"https://orcid.org/0000-0003-2788-1517","affiliations":[{"raw_affiliation_string":"MAKUTU, Inria, TotalEnergies, Universite de Pau et des Pays de l\u2019Adour, CNRS UMR 5142, Pau, 64000, France","institution_ids":["https://openalex.org/I144889574","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043357913","display_name":"Marc Durufl\u00e9","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/I144889574","display_name":"Universit\u00e9 de Pau et des Pays de l'Adour","ror":"https://ror.org/01frn9647","country_code":"FR","type":"education","lineage":["https://openalex.org/I144889574"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marc Durufl\u00e9","raw_affiliation_strings":["Bordeaux INP - Institut Polytechnique de Bordeaux, Bordeaux, 33000, France","MAKUTU, Inria, TotalEnergies, Universite de Pau et des Pays de l\u2019Adour, CNRS UMR 5142, Pau, 64000, France"],"raw_orcid":"https://orcid.org/0000-0003-0550-2627","affiliations":[{"raw_affiliation_string":"Bordeaux INP - Institut Polytechnique de Bordeaux, Bordeaux, 33000, France","institution_ids":["https://openalex.org/I4210160189"]},{"raw_affiliation_string":"MAKUTU, Inria, TotalEnergies, Universite de Pau et des Pays de l\u2019Adour, CNRS UMR 5142, Pau, 64000, France","institution_ids":["https://openalex.org/I144889574","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086309653","display_name":"Christian Gout","orcid":"https://orcid.org/0000-0002-3628-4397"},"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/I4210105181","display_name":"Laboratoire de Math\u00e9matiques Rapha\u00ebl Salem","ror":"https://ror.org/01k1v7590","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210105181","https://openalex.org/I4210105918","https://openalex.org/I4210141950","https://openalex.org/I62396329"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]},{"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"]},{"id":"https://openalex.org/I62396329","display_name":"Universit\u00e9 de Rouen Normandie","ror":"https://ror.org/03nhjew95","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]},{"id":"https://openalex.org/I88814501","display_name":"Institut National des Sciences Appliqu\u00e9es Rouen Normandie","ror":"https://ror.org/020ws7586","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I88814501"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christian Gout","raw_affiliation_strings":["CNRS - Normandie Mathematiques FR 3335, Rouen, 76000, France","INSA Rouen Normandie, Normandie Univ., LMI UR3226, Rouen, 76000, France"],"raw_orcid":"https://orcid.org/0000-0002-3628-4397","affiliations":[{"raw_affiliation_string":"CNRS - Normandie Mathematiques FR 3335, Rouen, 76000, France","institution_ids":["https://openalex.org/I4210105918","https://openalex.org/I4210105181","https://openalex.org/I4210155549","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"INSA Rouen Normandie, Normandie Univ., LMI UR3226, Rouen, 76000, France","institution_ids":["https://openalex.org/I62396329","https://openalex.org/I88814501","https://openalex.org/I4210105918"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059276643","display_name":"Antoine Tonnoir","orcid":"https://orcid.org/0000-0002-3383-0858"},"institutions":[{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I62396329","display_name":"Universit\u00e9 de Rouen Normandie","ror":"https://ror.org/03nhjew95","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]},{"id":"https://openalex.org/I88814501","display_name":"Institut National des Sciences Appliqu\u00e9es Rouen Normandie","ror":"https://ror.org/020ws7586","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I88814501"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Antoine Tonnoir","raw_affiliation_strings":["INSA Rouen Normandie, Normandie Univ., LMI UR3226, Rouen, 76000, France"],"raw_orcid":"https://orcid.org/0000-0002-3383-0858","affiliations":[{"raw_affiliation_string":"INSA Rouen Normandie, Normandie Univ., LMI UR3226, Rouen, 76000, France","institution_ids":["https://openalex.org/I62396329","https://openalex.org/I88814501","https://openalex.org/I4210105918"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I112991645","https://openalex.org/I1294671590","https://openalex.org/I144889574","https://openalex.org/I4210105918","https://openalex.org/I62396329","https://openalex.org/I88814501"],"apc_list":{"value":3480,"currency":"USD","value_usd":3480},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.50572469,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"211","issue":null,"first_page":"59","last_page":"75"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.29750001430511475,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.29750001430511475,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.12139999866485596,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.11980000138282776,"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/boundary-value-problem","display_name":"Boundary value problem","score":0.7002999782562256},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6305999755859375},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.454800009727478},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.36239999532699585},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.3434000015258789}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7735000252723694},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.7002999782562256},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6305999755859375},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6121000051498413},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.454800009727478},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.36239999532699585},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.3434000015258789},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3375000059604645},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.28619998693466187},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.27410000562667847}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.camwa.2026.03.008","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.camwa.2026.03.008","pdf_url":null,"source":{"id":"https://openalex.org/S4210205691","display_name":"Computers & Mathematics with Applications","issn_l":"0898-1221","issn":["0898-1221","1873-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Mathematics with Applications","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-05550756v1","is_oa":false,"landing_page_url":"https://hal.science/hal-05550756","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computers & Mathematics with Applications, 2026, 211, pp.59-75. ⟨10.1016/j.camwa.2026.03.008⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","score":0.5036945939064026,"display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1983987600","https://openalex.org/W1994792097","https://openalex.org/W2000794897","https://openalex.org/W2001811200","https://openalex.org/W2003656854","https://openalex.org/W2025162675","https://openalex.org/W2031027147","https://openalex.org/W2046033877","https://openalex.org/W2048269627","https://openalex.org/W2053857640","https://openalex.org/W2058988725","https://openalex.org/W2075241282","https://openalex.org/W2135021260","https://openalex.org/W2767596975","https://openalex.org/W2805995299","https://openalex.org/W2885662780","https://openalex.org/W2907221105","https://openalex.org/W3014910939","https://openalex.org/W3184232546","https://openalex.org/W4224309407"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2026-03-13T00:00:00"}