{"id":"https://openalex.org/W2048052781","doi":"https://doi.org/10.1002/(sici)1099-1506(199603/04)3:2<91::aid-nla64>3.0.co;2-x","title":"On Fast Computations with the Inverse to Harmonic Potential Operators via Domain Decomposition","display_name":"On Fast Computations with the Inverse to Harmonic Potential Operators via Domain Decomposition","publication_year":1996,"publication_date":"1996-03-01","ids":{"openalex":"https://openalex.org/W2048052781","doi":"https://doi.org/10.1002/(sici)1099-1506(199603/04)3:2<91::aid-nla64>3.0.co;2-x","mag":"2048052781"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1099-1506(199603/04)3:2<91::aid-nla64>3.0.co;2-x","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1099-1506(199603/04)3:2<91::aid-nla64>3.0.co;2-x","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with Applications","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/A5043445843","display_name":"Boris N. Khoromskij","orcid":"https://orcid.org/0000-0002-5853-5521"},"institutions":[{"id":"https://openalex.org/I32699454","display_name":"Joint Institute for Nuclear Research","ror":"https://ror.org/044yd9t77","country_code":"RU","type":"facility","lineage":["https://openalex.org/I32699454"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Boris N. Khoromskij","raw_affiliation_strings":["Joint Institute for Nuclear Research, 141980 Dubna, Moscow reg., Russia","Joint Institute for Nuclear Research, 141980 Dubna, Moscow Reg., Russia"],"affiliations":[{"raw_affiliation_string":"Joint Institute for Nuclear Research, 141980 Dubna, Moscow reg., Russia","institution_ids":["https://openalex.org/I32699454"]},{"raw_affiliation_string":"Joint Institute for Nuclear Research, 141980 Dubna, Moscow Reg., Russia","institution_ids":["https://openalex.org/I32699454"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043445843"],"corresponding_institution_ids":["https://openalex.org/I32699454"],"apc_list":{"value":4430,"currency":"USD","value_usd":4430},"apc_paid":null,"fwci":1.283,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.78330329,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"3","issue":"2","first_page":"91","last_page":"111"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9993000030517578,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9991000294685364,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7703571319580078},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.717948317527771},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7162546515464783},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.6025659441947937},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.5836131572723389},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5677720904350281},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5086866021156311},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.44201263785362244},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.420343279838562},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3776099383831024},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31328967213630676},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2856622338294983},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1582411527633667},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15273383259773254}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7703571319580078},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.717948317527771},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7162546515464783},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.6025659441947937},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.5836131572723389},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5677720904350281},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5086866021156311},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.44201263785362244},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.420343279838562},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3776099383831024},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31328967213630676},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2856622338294983},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1582411527633667},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15273383259773254},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/(sici)1099-1506(199603/04)3:2<91::aid-nla64>3.0.co;2-x","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1099-1506(199603/04)3:2<91::aid-nla64>3.0.co;2-x","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.75,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W137884529","https://openalex.org/W154172017","https://openalex.org/W155934647","https://openalex.org/W768091592","https://openalex.org/W1568938378","https://openalex.org/W1980336077","https://openalex.org/W1981379700","https://openalex.org/W1985344411","https://openalex.org/W1988570599","https://openalex.org/W1989056711","https://openalex.org/W2019517543","https://openalex.org/W2025957493","https://openalex.org/W2064244089","https://openalex.org/W2068206945","https://openalex.org/W2092547044","https://openalex.org/W2325499309","https://openalex.org/W2490615762","https://openalex.org/W2726523637","https://openalex.org/W4214815319","https://openalex.org/W4232240772"],"related_works":["https://openalex.org/W2916043681","https://openalex.org/W2896131632","https://openalex.org/W2391438543","https://openalex.org/W2997473813","https://openalex.org/W2008231869","https://openalex.org/W323119424","https://openalex.org/W2551069560","https://openalex.org/W1594091061","https://openalex.org/W2522231841","https://openalex.org/W2053598678"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"a":[3],"method":[4],"for":[5,41,84,148],"fast":[6],"computations":[7],"with":[8,23,64,116],"the":[9,24,37,48,54,58,65,98,106,125,132],"inverse":[10],"to":[11],"weakly":[12],"singular,":[13],"hypersingular":[14],"and":[15,31,60,95,101,111,140,150],"double":[16],"layer":[17],"potential":[18],"boundary":[19,43,133],"integral":[20],"operators":[21,88],"associated":[22],"Laplacian":[25],"on":[26,36,89,131],"Lipschitz":[27],"domains":[28],"is":[29,34,124],"proposed":[30,143],"analyzed.":[32],"It":[33],"based":[35],"representation":[38],"formulae":[39,70],"suggested":[40],"above-mentioned":[42],"operations":[44],"in":[45],"terms":[46],"of":[47,57,68,86,105,127,129,138],"Poincare-Steklov":[49],"interface":[50,87],"mappings":[51],"generated":[52],"by":[53,75],"special":[55],"decompositions":[56],"interior":[59],"exterior":[61],"domains.":[62],"Computations":[63],"discrete":[66],"counterparts":[67],"these":[69],"can":[71],"be":[72],"efficiently":[73],"performed":[74],"iterative":[76],"substructuring":[77],"algorithms":[78,144],"provided":[79],"some":[80],"asymptotically":[81],"optimal":[82],"techniques":[83],"treatment":[85],"subdomain":[90],"boundaries.":[91],"For":[92],"both":[93],"two-":[94],"three-dimensional":[96],"cases":[97],"computation":[99],"cost":[100],"memory":[102],"needs":[103],"are":[104,145],"order":[107],"O(N":[108,112],"logp":[109],"N)":[110],"log2":[113],"N),":[114],"respectively,":[115],"1":[117],"\u2264":[118,120],"p":[119],"3,":[121],"where":[122],"N":[123],"number":[126],"degrees":[128],"freedom":[130],"under":[134],"consideration":[135],"(some":[136],"kinds":[137],"polygons":[139],"polyhedra).":[141],"The":[142],"well":[146],"suited":[147],"serial":[149],"parallel":[151],"computations.":[152]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
