{"id":"https://openalex.org/W2002861104","doi":"https://doi.org/10.1137/120865033","title":"Optimized Schwarz Waveform Relaxation and Discontinuous Galerkin Time Stepping for Heterogeneous Problems","display_name":"Optimized Schwarz Waveform Relaxation and Discontinuous Galerkin Time Stepping for Heterogeneous Problems","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2002861104","doi":"https://doi.org/10.1137/120865033","mag":"2002861104"},"language":"en","primary_location":{"id":"doi:10.1137/120865033","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120865033","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1006.2601","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113857548","display_name":"Laurence Halpern","orcid":"https://orcid.org/0000-0002-7877-7130"},"institutions":[{"id":"https://openalex.org/I4210102686","display_name":"Laboratoire Analyse, G\u00e9om\u00e9trie et Applications","ror":"https://ror.org/018nzqy79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210102686","https://openalex.org/I4210141950","https://openalex.org/I48825208"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Laurence Halpern","raw_affiliation_strings":["Laboratoire Analyse, G\u00e9om\u00e9trie et Applications"],"affiliations":[{"raw_affiliation_string":"Laboratoire Analyse, G\u00e9om\u00e9trie et Applications","institution_ids":["https://openalex.org/I4210102686"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102896663","display_name":"Caroline Japhet","orcid":"https://orcid.org/0009-0000-1936-2106"},"institutions":[{"id":"https://openalex.org/I4210102686","display_name":"Laboratoire Analyse, G\u00e9om\u00e9trie et Applications","ror":"https://ror.org/018nzqy79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210102686","https://openalex.org/I4210141950","https://openalex.org/I48825208"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Caroline Japhet","raw_affiliation_strings":["Laboratoire Analyse, G\u00e9om\u00e9trie et Applications"],"affiliations":[{"raw_affiliation_string":"Laboratoire Analyse, G\u00e9om\u00e9trie et Applications","institution_ids":["https://openalex.org/I4210102686"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108725023","display_name":"J\u00e9r\u00e9mie Szeftel","orcid":null},"institutions":[{"id":"https://openalex.org/I2746051580","display_name":"Universit\u00e9 Paris Sciences et Lettres","ror":"https://ror.org/013cjyk83","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"other","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]},{"id":"https://openalex.org/I4210127506","display_name":"D\u00e9partement de math\u00e9matiques et applications","ror":"https://ror.org/03k9z2963","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I2746051580","https://openalex.org/I29607241","https://openalex.org/I4210127506"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J\u00e9r\u00e9mie Szeftel","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques et Applications - ENS Paris"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques et Applications - ENS Paris","institution_ids":["https://openalex.org/I2746051580","https://openalex.org/I4210127506","https://openalex.org/I29607241"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5113857548"],"corresponding_institution_ids":["https://openalex.org/I4210102686"],"apc_list":null,"apc_paid":null,"fwci":3.1621,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.90883297,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"50","issue":"5","first_page":"2588","last_page":"2611"},"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":0.9998999834060669,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9991000294685364,"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":0.7491952776908875},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.7295831441879272},{"id":"https://openalex.org/keywords/time-stepping","display_name":"Time stepping","score":0.7219927310943604},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7133292555809021},{"id":"https://openalex.org/keywords/waveform","display_name":"Waveform","score":0.6350829601287842},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6049758791923523},{"id":"https://openalex.org/keywords/schwarz-alternating-method","display_name":"Schwarz alternating method","score":0.4964304566383362},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4897937774658203},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.488901287317276},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4471019208431244},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4014407694339752},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39013656973838806},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13667362928390503},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.12519127130508423},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09780052304267883}],"concepts":[{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.7491952776908875},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.7295831441879272},{"id":"https://openalex.org/C3019693144","wikidata":"https://www.wikidata.org/wiki/Q541182","display_name":"Time stepping","level":3,"score":0.7219927310943604},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7133292555809021},{"id":"https://openalex.org/C197424946","wikidata":"https://www.wikidata.org/wiki/Q1165717","display_name":"Waveform","level":3,"score":0.6350829601287842},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6049758791923523},{"id":"https://openalex.org/C31278502","wikidata":"https://www.wikidata.org/wiki/Q7433186","display_name":"Schwarz alternating method","level":4,"score":0.4964304566383362},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4897937774658203},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.488901287317276},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4471019208431244},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4014407694339752},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39013656973838806},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13667362928390503},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.12519127130508423},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09780052304267883},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/120865033","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120865033","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1006.2601","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1006.2601","pdf_url":"https://arxiv.org/pdf/1006.2601","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":"","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1006.2601","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1006.2601","pdf_url":"https://arxiv.org/pdf/1006.2601","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":"","raw_type":"text"},"sustainable_development_goals":[{"score":0.6499999761581421,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W12061094","https://openalex.org/W114422506","https://openalex.org/W145241490","https://openalex.org/W257431071","https://openalex.org/W1480366635","https://openalex.org/W1488000020","https://openalex.org/W1589236075","https://openalex.org/W1984480729","https://openalex.org/W2007510482","https://openalex.org/W2020633626","https://openalex.org/W2025377524","https://openalex.org/W2033447735","https://openalex.org/W2037701755","https://openalex.org/W2064523606","https://openalex.org/W2082621526","https://openalex.org/W2119038858","https://openalex.org/W2281327298","https://openalex.org/W2429258439","https://openalex.org/W2508983562","https://openalex.org/W2798909945","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W596860038","https://openalex.org/W2153233687","https://openalex.org/W2504287632","https://openalex.org/W4211094555","https://openalex.org/W4288364146","https://openalex.org/W2061746173","https://openalex.org/W2286395548","https://openalex.org/W2940897047","https://openalex.org/W2005295558","https://openalex.org/W1515964003"],"abstract_inverted_index":{"We":[0,29,40],"design":[1],"and":[2,22],"analyze":[3,30],"a":[4],"Schwarz":[5],"waveform":[6],"relaxation":[7],"algorithm":[8],"for":[9],"domain":[10],"decomposition":[11],"of":[12],"advection-diffusion-reaction":[13],"problems":[14],"with":[15,35],"strong":[16],"heterogeneities.":[17],"The":[18],"interfaces":[19],"are":[20],"curved,":[21],"we":[23],"use":[24],"optimized":[25],"Ventcell":[26],"transmission":[27],"conditions.":[28],"the":[31],"semidiscretization":[32],"in":[33,51],"time":[34],"discontinuous":[36],"Galerkin":[37],"as":[38],"well.":[39],"also":[41],"show":[42],"two-dimensional":[43],"numerical":[44],"results":[45],"using":[46],"generalized":[47],"mortar":[48],"finite":[49],"elements":[50],"space.":[52]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":2}],"updated_date":"2026-03-05T09:29:38.588285","created_date":"2025-10-10T00:00:00"}
