{"id":"https://openalex.org/W3087680391","doi":"https://doi.org/10.1137/19m1272512","title":"Domain Decomposition with Local Impedance Conditions for the Helmholtz Equation with Absorption","display_name":"Domain Decomposition with Local Impedance Conditions for the Helmholtz Equation with Absorption","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3087680391","doi":"https://doi.org/10.1137/19m1272512","mag":"3087680391"},"language":"en","primary_location":{"id":"doi:10.1137/19m1272512","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1272512","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":["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/A5064637859","display_name":"Ivan G. Graham","orcid":"https://orcid.org/0000-0002-5730-676X"},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ivan G. Graham","raw_affiliation_strings":["Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083248653","display_name":"Euan A. Spence","orcid":"https://orcid.org/0000-0003-1236-4592"},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Euan A. Spence","raw_affiliation_strings":["Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK"],"raw_orcid":"https://orcid.org/0000-0003-1236-4592","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054388151","display_name":"Jun Zou","orcid":"https://orcid.org/0000-0002-2976-8713"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Jun Zou","raw_affiliation_strings":["Department of Mathematics, Chinese University of Hong Kong, Shatin, N.T., Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Chinese University of Hong Kong, Shatin, N.T., Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.6817,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.96331133,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"58","issue":"5","first_page":"2515","last_page":"2543"},"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":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"}},"topics":[{"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/T10514","display_name":"Numerical methods in engineering","score":0.9998000264167786,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998000264167786,"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/helmholtz-equation","display_name":"Helmholtz equation","score":0.7516008019447327},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.7151336073875427},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6708968281745911},{"id":"https://openalex.org/keywords/generalized-minimal-residual-method","display_name":"Generalized minimal residual method","score":0.6089147925376892},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5641981363296509},{"id":"https://openalex.org/keywords/electrical-impedance","display_name":"Electrical impedance","score":0.5078449845314026},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.5039028525352478},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4740295708179474},{"id":"https://openalex.org/keywords/absorption","display_name":"Absorption (acoustics)","score":0.44468700885772705},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4396836757659912},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4176441729068756},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.17253509163856506},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.1568584144115448},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.14271456003189087},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.133963942527771},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.09786820411682129},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.09312012791633606},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08532479405403137},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.07133585214614868},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.062225013971328735}],"concepts":[{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.7516008019447327},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.7151336073875427},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6708968281745911},{"id":"https://openalex.org/C155332342","wikidata":"https://www.wikidata.org/wiki/Q1432976","display_name":"Generalized minimal residual method","level":3,"score":0.6089147925376892},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5641981363296509},{"id":"https://openalex.org/C17829176","wikidata":"https://www.wikidata.org/wiki/Q179043","display_name":"Electrical impedance","level":2,"score":0.5078449845314026},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.5039028525352478},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4740295708179474},{"id":"https://openalex.org/C125287762","wikidata":"https://www.wikidata.org/wiki/Q1758948","display_name":"Absorption (acoustics)","level":2,"score":0.44468700885772705},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4396836757659912},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4176441729068756},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.17253509163856506},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.1568584144115448},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.14271456003189087},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.133963942527771},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.09786820411682129},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.09312012791633606},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08532479405403137},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.07133585214614868},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.062225013971328735},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/19m1272512","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1272512","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1847181937","display_name":"At the interface between semiclassical analysis and numerical analysis of wave propagation problems","funder_award_id":"EP/R005591/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G2547005790","display_name":null,"funder_award_id":"EP/S003975/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8333796729","display_name":"Fast solvers for frequency-domain wave-scattering problems and applications","funder_award_id":"EP/S003975/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8386841362","display_name":null,"funder_award_id":"EP/R005591/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320320322","display_name":"University of Bath","ror":"https://ror.org/002h8g185"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322942","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48"},{"id":"https://openalex.org/F4320324717","display_name":"Tartu \u00dclikool","ror":"https://ror.org/03z77qz90"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1798342062","https://openalex.org/W1987152170","https://openalex.org/W2005733061","https://openalex.org/W2011936333","https://openalex.org/W2024381649","https://openalex.org/W2024949119","https://openalex.org/W2026283299","https://openalex.org/W2029966922","https://openalex.org/W2035238652","https://openalex.org/W2041226551","https://openalex.org/W2042015995","https://openalex.org/W2042199958","https://openalex.org/W2065983078","https://openalex.org/W2068395392","https://openalex.org/W2069595221","https://openalex.org/W2084463157","https://openalex.org/W2087828859","https://openalex.org/W2098102734","https://openalex.org/W2107692173","https://openalex.org/W2108572708","https://openalex.org/W2115272362","https://openalex.org/W2117762537","https://openalex.org/W2142094322","https://openalex.org/W2161243591","https://openalex.org/W2169549054","https://openalex.org/W2234513784","https://openalex.org/W2300963337","https://openalex.org/W2469069581","https://openalex.org/W2592456637","https://openalex.org/W2597181770","https://openalex.org/W2767278683","https://openalex.org/W2804813293","https://openalex.org/W2843106559","https://openalex.org/W2943167654","https://openalex.org/W2963292939","https://openalex.org/W2963726548","https://openalex.org/W2964987866","https://openalex.org/W3101113552","https://openalex.org/W3104165448","https://openalex.org/W3104368183","https://openalex.org/W4235228724"],"related_works":["https://openalex.org/W2358905935","https://openalex.org/W3046241855","https://openalex.org/W2139875628","https://openalex.org/W4365420316","https://openalex.org/W1541736886","https://openalex.org/W3193896743","https://openalex.org/W3126389985","https://openalex.org/W3176862315","https://openalex.org/W3216866263","https://openalex.org/W3120022531"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9,35],"an":[10],"active":[11],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"5":[17],"July":[18],"2019Accepted:":[19],"18":[20],"May":[21],"2020Published":[22],"online:":[23],"16":[24],"September":[25],"2020KeywordsHelmholtz":[26],"equation,":[27],"high":[28],"frequency,":[29],"preconditioning,":[30],"GMRES,":[31],"domain":[32],"decomposition,":[33],"subproblems":[34],"impedance":[36],"conditions,":[37],"robustnessAMS":[38],"Subject":[39],"Headings65F08,":[40],"65F10,":[41],"65N55Publication":[42],"DataISSN":[43],"(print):":[44],"0036-1429ISSN":[45],"(online):":[46],"1095-7170Publisher:":[47],"Society":[48],"for":[49],"Industrial":[50],"and":[51],"Applied":[52],"MathematicsCODEN:":[53],"sjnaam":[54]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
