{"id":"https://openalex.org/W2606738663","doi":"https://doi.org/10.1007/978-3-319-57099-0_67","title":"An Overlapping Domain Decomposition Method for the Helmholtz Exterior Problem","display_name":"An Overlapping Domain Decomposition Method for the Helmholtz Exterior Problem","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2606738663","doi":"https://doi.org/10.1007/978-3-319-57099-0_67","mag":"2606738663"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-57099-0_67","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-57099-0_67","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5069590122","display_name":"A. O. Savchenko","orcid":"https://orcid.org/0000-0002-6294-0466"},"institutions":[{"id":"https://openalex.org/I4210110796","display_name":"Institute of Computational Mathematics and Mathematical Geophysics","ror":"https://ror.org/01z686714","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210110796","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Alexander Savchenko","raw_affiliation_strings":["Institute of Computational Mathematics and Mathematical Geophysics, pr.Lavrentieva 6, Novosibirsk, 630090, Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Computational Mathematics and Mathematical Geophysics, pr.Lavrentieva 6, Novosibirsk, 630090, Russia","institution_ids":["https://openalex.org/I4210110796"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113805959","display_name":"Artem Petukhov","orcid":null},"institutions":[{"id":"https://openalex.org/I4210110796","display_name":"Institute of Computational Mathematics and Mathematical Geophysics","ror":"https://ror.org/01z686714","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210110796","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Artem Petukhov","raw_affiliation_strings":["Institute of Computational Mathematics and Mathematical Geophysics, pr.Lavrentieva 6, Novosibirsk, 630090, Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Computational Mathematics and Mathematical Geophysics, pr.Lavrentieva 6, Novosibirsk, 630090, Russia","institution_ids":["https://openalex.org/I4210110796"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5069590122"],"corresponding_institution_ids":["https://openalex.org/I4210110796"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.9985,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.68470759,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"591","last_page":"598"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13619","display_name":"Geotechnical and Geomechanical Engineering","score":0.9865999817848206,"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"}},"topics":[{"id":"https://openalex.org/T13619","display_name":"Geotechnical and Geomechanical Engineering","score":0.9865999817848206,"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/T13045","display_name":"Industrial Engineering and Technologies","score":0.9692999720573425,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T13129","display_name":"Material Properties and Applications","score":0.9692999720573425,"subfield":{"id":"https://openalex.org/subfields/2500","display_name":"General Materials Science"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.7813351154327393},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.6693968772888184},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.65570467710495},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5353688597679138},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.5284521579742432},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5052147507667542},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.5047999620437622},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4918248653411865},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4463811218738556},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.44565722346305847},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4302207827568054},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42551010847091675},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38003024458885193},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35126757621765137},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.13128075003623962},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.08049863576889038}],"concepts":[{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.7813351154327393},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.6693968772888184},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.65570467710495},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5353688597679138},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.5284521579742432},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5052147507667542},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.5047999620437622},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4918248653411865},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4463811218738556},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.44565722346305847},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4302207827568054},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42551010847091675},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38003024458885193},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35126757621765137},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.13128075003623962},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.08049863576889038},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-57099-0_67","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-57099-0_67","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.5899999737739563,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1680579736","https://openalex.org/W2048714662","https://openalex.org/W6811789344"],"related_works":["https://openalex.org/W3103325625","https://openalex.org/W4365420316","https://openalex.org/W1541736886","https://openalex.org/W3193896743","https://openalex.org/W3176862315","https://openalex.org/W3013301814","https://openalex.org/W2473609169","https://openalex.org/W3216866263","https://openalex.org/W3120022531","https://openalex.org/W2329573185"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}