{"id":"https://openalex.org/W1990408543","doi":"https://doi.org/10.1007/s002110100263","title":"Well-posed absorbing layer for hyperbolic problems","display_name":"Well-posed absorbing layer for hyperbolic problems","publication_year":2002,"publication_date":"2002-09-01","ids":{"openalex":"https://openalex.org/W1990408543","doi":"https://doi.org/10.1007/s002110100263","mag":"1990408543"},"language":"en","primary_location":{"id":"doi:10.1007/s002110100263","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002110100263","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/A5108251084","display_name":"J. L. Lions","orcid":null},"institutions":[{"id":"https://openalex.org/I187986737","display_name":"Coll\u00e8ge de France","ror":"https://ror.org/04ex24z53","country_code":"FR","type":"education","lineage":["https://openalex.org/I187986737"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jacques-Louis Lions","raw_affiliation_strings":["Coll\u00e8ge de France, 3 rue d'Ulm, 75 231 Paris Cedex 05, France\n, , , , , , FR","Coll\u00e8ge de France, 3 rue d'Ulm, 75 231 Paris Cedex 05, France , FR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coll\u00e8ge de France, 3 rue d'Ulm, 75 231 Paris Cedex 05, France\n, , , , , , FR","institution_ids":["https://openalex.org/I187986737"]},{"raw_affiliation_string":"Coll\u00e8ge de France, 3 rue d'Ulm, 75 231 Paris Cedex 05, France , FR","institution_ids":["https://openalex.org/I187986737"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089840489","display_name":"J\u00e9r\u00f4me M\u00e9tral","orcid":null},"institutions":[{"id":"https://openalex.org/I216852786","display_name":"\u00c9cole Centrale Paris","ror":"https://ror.org/00v0y5771","country_code":"FR","type":"education","lineage":["https://openalex.org/I216852786"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J\u00e9r\u00f4me M\u00e9tral","raw_affiliation_strings":["Laboratoire MAS, Ecole Centrale de Paris, 92 295, Ch\u00e2tenay-Malabry Cedex, France; e-mail: Jerome.Metral@frgateway.net\n, , , , , , FR","Laboratoire MAS, Ecole Centrale de Paris, 92 295, Ch\u00e2tenay-Malabry Cedex, France; e-mail: Jerome.Metral@frgateway.net , FR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire MAS, Ecole Centrale de Paris, 92 295, Ch\u00e2tenay-Malabry Cedex, France; e-mail: Jerome.Metral@frgateway.net\n, , , , , , FR","institution_ids":["https://openalex.org/I216852786"]},{"raw_affiliation_string":"Laboratoire MAS, Ecole Centrale de Paris, 92 295, Ch\u00e2tenay-Malabry Cedex, France; e-mail: Jerome.Metral@frgateway.net , FR","institution_ids":["https://openalex.org/I216852786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084698010","display_name":"Olivier Vacus","orcid":null},"institutions":[{"id":"https://openalex.org/I1307600426","display_name":"Dassault Aviation (France)","ror":"https://ror.org/02as1sh25","country_code":"FR","type":"company","lineage":["https://openalex.org/I1307600426"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Olivier Vacus","raw_affiliation_strings":["Dassault Aviation, 78 quai Marcel Dassault, 92 214, St-Cloud Cedex, France\n, , , , , , FR","Dassault Aviation, 78 quai Marcel Dassault, 92 214, St-Cloud Cedex, France , FR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dassault Aviation, 78 quai Marcel Dassault, 92 214, St-Cloud Cedex, France\n, , , , , , FR","institution_ids":["https://openalex.org/I1307600426"]},{"raw_affiliation_string":"Dassault Aviation, 78 quai Marcel Dassault, 92 214, St-Cloud Cedex, France , FR","institution_ids":["https://openalex.org/I1307600426"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.4084,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.88534353,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"92","issue":"3","first_page":"535","last_page":"562"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":1.0,"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"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9987000226974487,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9970999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8793078660964966},{"id":"https://openalex.org/keywords/perfectly-matched-layer","display_name":"Perfectly matched layer","score":0.8339580297470093},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8239373564720154},{"id":"https://openalex.org/keywords/well-posed-problem","display_name":"Well-posed problem","score":0.6327505111694336},{"id":"https://openalex.org/keywords/layer","display_name":"Layer (electronics)","score":0.5792953372001648},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5378666520118713},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5196417570114136},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.5103234648704529},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.48497748374938965},{"id":"https://openalex.org/keywords/cauchy-problem","display_name":"Cauchy problem","score":0.4661869704723358},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4454350769519806},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4271710515022278},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.42605340480804443},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.42449867725372314},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.39466404914855957},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.12760844826698303},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10775372385978699}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8793078660964966},{"id":"https://openalex.org/C16895185","wikidata":"https://www.wikidata.org/wiki/Q15101726","display_name":"Perfectly matched layer","level":3,"score":0.8339580297470093},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8239373564720154},{"id":"https://openalex.org/C106214006","wikidata":"https://www.wikidata.org/wiki/Q1455898","display_name":"Well-posed problem","level":2,"score":0.6327505111694336},{"id":"https://openalex.org/C2779227376","wikidata":"https://www.wikidata.org/wiki/Q6505497","display_name":"Layer (electronics)","level":2,"score":0.5792953372001648},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5378666520118713},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5196417570114136},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.5103234648704529},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.48497748374938965},{"id":"https://openalex.org/C153635880","wikidata":"https://www.wikidata.org/wiki/Q1412436","display_name":"Cauchy problem","level":3,"score":0.4661869704723358},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4454350769519806},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4271710515022278},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.42605340480804443},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.42449867725372314},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.39466404914855957},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.12760844826698303},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10775372385978699},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s002110100263","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002110100263","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":[{"id":"https://metadata.un.org/sdg/13","display_name":"Climate action","score":0.6000000238418579}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1965605578","https://openalex.org/W1994751539","https://openalex.org/W2003017040","https://openalex.org/W2008720207","https://openalex.org/W2035640507","https://openalex.org/W2064660626","https://openalex.org/W2080443871","https://openalex.org/W2086862654","https://openalex.org/W2142063750","https://openalex.org/W2158323350"],"related_works":["https://openalex.org/W2018450858","https://openalex.org/W1979080513","https://openalex.org/W152009479","https://openalex.org/W1952112359","https://openalex.org/W3127582379","https://openalex.org/W2013420391","https://openalex.org/W2761923669","https://openalex.org/W2275918850","https://openalex.org/W1970706045","https://openalex.org/W3099358373"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}