{"id":"https://openalex.org/W2940897047","doi":"https://doi.org/10.1137/19m125858x","title":"Natural Domain Decomposition Algorithms for the Solution of Time-Harmonic Elastic Waves","display_name":"Natural Domain Decomposition Algorithms for the Solution of Time-Harmonic Elastic Waves","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2940897047","doi":"https://doi.org/10.1137/19m125858x","mag":"2940897047"},"language":"en","primary_location":{"id":"doi:10.1137/19m125858x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m125858x","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1904.12158","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005842697","display_name":"Romain Brunet","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"R. Brunet","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024462955","display_name":"Victorita Dolean","orcid":"https://orcid.org/0000-0002-5885-1903"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"V. Dolean","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5089456729","display_name":"Martin J. Gander","orcid":"https://orcid.org/0000-0001-8450-9223"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. J. Gander","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-8450-9223","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005842697"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00231815,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"42","issue":"5","first_page":"A3313","last_page":"A3339"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998999834060669,"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":0.9998999834060669,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998000264167786,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9993000030517578,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/schwarz-alternating-method","display_name":"Schwarz alternating method","score":0.9532690048217773},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.8885785937309265},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.8562279939651489},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7681798934936523},{"id":"https://openalex.org/keywords/additive-schwarz-method","display_name":"Additive Schwarz method","score":0.677203893661499},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.5726165771484375},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.543269157409668},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46803855895996094},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45864254236221313},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4197905659675598},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39579081535339355},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3781895041465759},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34827685356140137},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.18032154440879822},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.12520825862884521},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1057099997997284}],"concepts":[{"id":"https://openalex.org/C31278502","wikidata":"https://www.wikidata.org/wiki/Q7433186","display_name":"Schwarz alternating method","level":4,"score":0.9532690048217773},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.8885785937309265},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.8562279939651489},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7681798934936523},{"id":"https://openalex.org/C174819683","wikidata":"https://www.wikidata.org/wiki/Q4681340","display_name":"Additive Schwarz method","level":4,"score":0.677203893661499},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.5726165771484375},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.543269157409668},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46803855895996094},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45864254236221313},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4197905659675598},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39579081535339355},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3781895041465759},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34827685356140137},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.18032154440879822},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.12520825862884521},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1057099997997284},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1137/19m125858x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m125858x","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:strathprints.strath.ac.uk:73302","is_oa":false,"landing_page_url":"https://strathprints.strath.ac.uk/view/author/1004130.html>","pdf_url":null,"source":{"id":"https://openalex.org/S4306402226","display_name":"Strathprints: The University of Strathclyde institutional repository (University of Strathclyde)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I181647926","host_organization_name":"University of Strathclyde","host_organization_lineage":["https://openalex.org/I181647926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:arXiv.org:1904.12158","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1904.12158","pdf_url":"https://arxiv.org/pdf/1904.12158","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":null,"raw_type":"text"},{"id":"mag:2940897047","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1904.12158v1","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-03438160v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03438160","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":"ISSN: 1064-8275","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:unige.ch:aou:unige:168595","is_oa":true,"landing_page_url":"https://archive-ouverte.unige.ch/unige:168595","pdf_url":null,"source":{"id":"https://openalex.org/S4306402259","display_name":"Archive ouverte UNIGE (University of Geneva)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114457229","host_organization_name":"University of Geneva","host_organization_lineage":["https://openalex.org/I114457229"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1064-8275","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1904.12158","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1904.12158","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1904.12158","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1904.12158","pdf_url":"https://arxiv.org/pdf/1904.12158","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1608268493","display_name":null,"funder_award_id":"EP/S004017/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W4509327","https://openalex.org/W355797926","https://openalex.org/W1482145699","https://openalex.org/W1798342062","https://openalex.org/W1975290568","https://openalex.org/W1975919514","https://openalex.org/W1987152170","https://openalex.org/W2000808745","https://openalex.org/W2008215882","https://openalex.org/W2024381649","https://openalex.org/W2025124289","https://openalex.org/W2029032690","https://openalex.org/W2035238652","https://openalex.org/W2057709785","https://openalex.org/W2059738320","https://openalex.org/W2063547741","https://openalex.org/W2069266878","https://openalex.org/W2082187902","https://openalex.org/W2084073638","https://openalex.org/W2089423775","https://openalex.org/W2095956181","https://openalex.org/W2098102734","https://openalex.org/W2108572708","https://openalex.org/W2117598742","https://openalex.org/W2140153041","https://openalex.org/W2145186178","https://openalex.org/W2171622994","https://openalex.org/W2496234105","https://openalex.org/W2806133171","https://openalex.org/W2963292939","https://openalex.org/W2989875704","https://openalex.org/W3094550915","https://openalex.org/W3104001151","https://openalex.org/W3167654475","https://openalex.org/W4235228724","https://openalex.org/W4254520838"],"related_works":["https://openalex.org/W2233890230","https://openalex.org/W2616478045","https://openalex.org/W2255778103","https://openalex.org/W2246825615","https://openalex.org/W1164247298","https://openalex.org/W151155023","https://openalex.org/W2952394607","https://openalex.org/W2089021822","https://openalex.org/W2341247775","https://openalex.org/W2020298609","https://openalex.org/W1900317400","https://openalex.org/W3143825444","https://openalex.org/W2260123795","https://openalex.org/W1920709583","https://openalex.org/W2076235615","https://openalex.org/W983079248","https://openalex.org/W3129159955","https://openalex.org/W2183963038","https://openalex.org/W2914427085","https://openalex.org/W2745614533"],"abstract_inverted_index":{"We":[0,43,78,104],"study":[1],"for":[2,10,74,112,159],"the":[3,11,14,18,26,40,47,57,86,92,146,160,164],"first":[4,44],"time":[5],"Schwarz":[6,49,100,147,166],"domain":[7],"decomposition":[8],"methods":[9],"solution":[12],"of":[13,20],"Navier":[15,58,161],"equations":[16,24,59,162],"modeling":[17],"propagation":[19],"elastic":[21],"waves.":[22],"These":[23],"in":[25,134],"time-harmonic":[27],"regime":[28],"are":[29],"difficult":[30],"to":[31,56,155],"solve":[32],"by":[33,115],"iterative":[34,68],"methods,":[35],"even":[36],"more":[37,81],"so":[38],"than":[39,163],"Helmholtz":[41],"equation.":[42],"prove":[45],"that":[46,90,123,145],"classical":[48,165],"method":[50,101,148],"is":[51,94,102],"not":[52,63,95],"convergent":[53],"when":[54],"applied":[55],"and":[60,88,121,138],"can":[61],"thus":[62],"be":[64],"used":[65],"as":[66,71],"an":[67],"solver,":[69],"only":[70],"a":[72,75,135,156],"preconditioner":[73],"Krylov":[76,139],"method.":[77,167],"then":[79],"introduce":[80],"natural":[82],"transmission":[83,136,151],"conditions":[84,152],"between":[85],"subdomains":[87],"show":[89,144],"if":[91],"overlap":[93],"too":[96],"small,":[97],"this":[98],"new":[99],"convergent.":[103],"illustrate":[105],"our":[106,116],"results":[107,143],"with":[108,149],"numerical":[109,142],"experiments,":[110],"both":[111],"situations":[113,122],"covered":[114],"technical":[117],"two":[118],"subdomain":[119],"analysis":[120],"go":[124],"far":[125],"beyond,":[126],"including":[127],"many":[128],"subdomains,":[129],"cross":[130],"points,":[131],"heterogeneous":[132],"materials":[133],"problem,":[137],"acceleration.":[140],"Our":[141],"adapted":[150],"leads":[153],"systematically":[154],"better":[157],"solver":[158]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}