{"id":"https://openalex.org/W7159940528","doi":"https://doi.org/10.1007/s10444-026-10305-8","title":"Which transmission condition is the best in optimized Schwarz waveform relaxation for viscoelastic equation: Robin or characteristic?","display_name":"Which transmission condition is the best in optimized Schwarz waveform relaxation for viscoelastic equation: Robin or characteristic?","publication_year":2026,"publication_date":"2026-04-29","ids":{"openalex":"https://openalex.org/W7159940528","doi":"https://doi.org/10.1007/s10444-026-10305-8"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-026-10305-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-026-10305-8","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational 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/A5135094835","display_name":"Fu Li","orcid":null},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fu Li","raw_affiliation_strings":["School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, People\u2019s Republic of China","institution_ids":["https://openalex.org/I184983240"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5135094591","display_name":"Yingxiang Xu","orcid":"https://orcid.org/0000-0001-7994-5274"},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]},{"id":"https://openalex.org/I4385474403","display_name":"Changchun University of Technology","ror":"https://ror.org/052pakb34","country_code":"CN","type":"education","lineage":["https://openalex.org/I4385474403"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yingxiang Xu","raw_affiliation_strings":["School of Mathematics and Statistics, Changchun University of Technology, Changchun, 130102, People\u2019s Republic of China","School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0001-7994-5274","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Changchun University of Technology, Changchun, 130102, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4385474403"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, People\u2019s Republic of China","institution_ids":["https://openalex.org/I184983240"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5135094591"],"corresponding_institution_ids":["https://openalex.org/I184983240","https://openalex.org/I4385474403"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.37831904,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"52","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.3321000039577484,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.3321000039577484,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.14010000228881836,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.06729999929666519,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/viscoelasticity","display_name":"Viscoelasticity","score":0.732699990272522},{"id":"https://openalex.org/keywords/waveform","display_name":"Waveform","score":0.6898000240325928},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5583999752998352},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.5069000124931335},{"id":"https://openalex.org/keywords/computational-science-and-engineering","display_name":"Computational Science and Engineering","score":0.4675999879837036},{"id":"https://openalex.org/keywords/schwarz-alternating-method","display_name":"Schwarz alternating method","score":0.44369998574256897}],"concepts":[{"id":"https://openalex.org/C186541917","wikidata":"https://www.wikidata.org/wiki/Q910483","display_name":"Viscoelasticity","level":2,"score":0.732699990272522},{"id":"https://openalex.org/C197424946","wikidata":"https://www.wikidata.org/wiki/Q1165717","display_name":"Waveform","level":3,"score":0.6898000240325928},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5583999752998352},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5483999848365784},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5382999777793884},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5069000124931335},{"id":"https://openalex.org/C68597687","wikidata":"https://www.wikidata.org/wiki/Q362601","display_name":"Computational Science and Engineering","level":2,"score":0.4675999879837036},{"id":"https://openalex.org/C31278502","wikidata":"https://www.wikidata.org/wiki/Q7433186","display_name":"Schwarz alternating method","level":4,"score":0.44369998574256897},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.36649999022483826},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.36309999227523804},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3359000086784363},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.2953999936580658},{"id":"https://openalex.org/C2779753020","wikidata":"https://www.wikidata.org/wiki/Q19929660","display_name":"Transmission loss","level":2,"score":0.29330000281333923},{"id":"https://openalex.org/C2779372316","wikidata":"https://www.wikidata.org/wiki/Q569057","display_name":"Stiffness","level":2,"score":0.2863999903202057},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.27090001106262207},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2581999897956848},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2508000135421753}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-026-10305-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-026-10305-8","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4018603808","display_name":null,"funder_award_id":"JJKH20250297BS","funder_id":"https://openalex.org/F4320326270","funder_display_name":"Education Department of Jilin Province"}],"funders":[{"id":"https://openalex.org/F4320326270","display_name":"Education Department of Jilin Province","ror":"https://ror.org/05782e512"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W21207070","https://openalex.org/W114422506","https://openalex.org/W1532580938","https://openalex.org/W1701499610","https://openalex.org/W1965273420","https://openalex.org/W1984480729","https://openalex.org/W1987152170","https://openalex.org/W1989991795","https://openalex.org/W2002861104","https://openalex.org/W2005714538","https://openalex.org/W2007510482","https://openalex.org/W2020633626","https://openalex.org/W2023871291","https://openalex.org/W2025377524","https://openalex.org/W2026735017","https://openalex.org/W2036597275","https://openalex.org/W2054662469","https://openalex.org/W2059459371","https://openalex.org/W2090241646","https://openalex.org/W2092129801","https://openalex.org/W2095237903","https://openalex.org/W2096847169","https://openalex.org/W2149649731","https://openalex.org/W2150222152","https://openalex.org/W2171622994","https://openalex.org/W2213830631","https://openalex.org/W2260639351","https://openalex.org/W2281327298","https://openalex.org/W2398729377","https://openalex.org/W2591682727","https://openalex.org/W2736028365","https://openalex.org/W2749179601","https://openalex.org/W2782798886","https://openalex.org/W2807208384","https://openalex.org/W2883454831","https://openalex.org/W2897274431","https://openalex.org/W2952157190","https://openalex.org/W2984558616","https://openalex.org/W3007416615","https://openalex.org/W3007816209","https://openalex.org/W3166928794","https://openalex.org/W3196174831","https://openalex.org/W4200634366","https://openalex.org/W4366990773","https://openalex.org/W4389200439"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2026-05-04T00:00:00"}