{"id":"https://openalex.org/W2082804737","doi":"https://doi.org/10.1090/s0025-5718-96-00757-0","title":"Balancing domain decomposition for problems with large jumps in coefficients","display_name":"Balancing domain decomposition for problems with large jumps in coefficients","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W2082804737","doi":"https://doi.org/10.1090/s0025-5718-96-00757-0","mag":"2082804737"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-96-00757-0","is_oa":false,"landing_page_url":"https://doi.org/10.1090/s0025-5718-96-00757-0","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","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/A5063790889","display_name":"Jan Mandel","orcid":"https://orcid.org/0000-0002-8489-5766"},"institutions":[{"id":"https://openalex.org/I921990950","display_name":"University of Colorado Denver","ror":"https://ror.org/02hh7en24","country_code":"US","type":"education","lineage":["https://openalex.org/I921990950"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jan Mandel","raw_affiliation_strings":["Center for Computational Mathematics, University of Colorado at Denver, Denver, Colorado 80217-3364","Center for Computational Mathematics, University of Colorado at Denver, Denver, Colorado 80217-3364#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Computational Mathematics, University of Colorado at Denver, Denver, Colorado 80217-3364","institution_ids":["https://openalex.org/I921990950"]},{"raw_affiliation_string":"Center for Computational Mathematics, University of Colorado at Denver, Denver, Colorado 80217-3364#TAB#","institution_ids":["https://openalex.org/I921990950"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038189861","display_name":"Marian Brezina","orcid":null},"institutions":[{"id":"https://openalex.org/I921990950","display_name":"University of Colorado Denver","ror":"https://ror.org/02hh7en24","country_code":"US","type":"education","lineage":["https://openalex.org/I921990950"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Marian Brezina","raw_affiliation_strings":["Center for Computational Mathematics, University of Colorado at Denver, Denver, Colorado 80217-3364","Center for Computational Mathematics, University of Colorado at Denver, Denver, Colorado 80217-3364#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Computational Mathematics, University of Colorado at Denver, Denver, Colorado 80217-3364","institution_ids":["https://openalex.org/I921990950"]},{"raw_affiliation_string":"Center for Computational Mathematics, University of Colorado at Denver, Denver, Colorado 80217-3364#TAB#","institution_ids":["https://openalex.org/I921990950"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5063790889"],"corresponding_institution_ids":["https://openalex.org/I921990950"],"apc_list":null,"apc_paid":null,"fwci":5.2354,"has_fulltext":false,"cited_by_count":179,"citation_normalized_percentile":{"value":0.95841672,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"65","issue":"216","first_page":"1387","last_page":"1401"},"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":1.0,"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":1.0,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9987000226974487,"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/mathematics","display_name":"Mathematics","score":0.8537746071815491},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.8007491827011108},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.7432482838630676},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5292500853538513},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.49904942512512207},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4604611396789551},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.328758180141449},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22284364700317383},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.1237821877002716}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8537746071815491},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.8007491827011108},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.7432482838630676},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5292500853538513},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.49904942512512207},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4604611396789551},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.328758180141449},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22284364700317383},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.1237821877002716},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1090/s0025-5718-96-00757-0","is_oa":false,"landing_page_url":"https://doi.org/10.1090/s0025-5718-96-00757-0","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.106.5445","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.106.5445","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/mcom/1996-65-216/S0025-5718-96-00757-0/S0025-5718-96-00757-0.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.192.1237","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.192.1237","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/journals/mcom/1996-65-216/S0025-5718-96-00757-0/S0025-5718-96-00757-0.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W45556801","https://openalex.org/W155934647","https://openalex.org/W160153949","https://openalex.org/W1596095530","https://openalex.org/W1646202054","https://openalex.org/W1974521166","https://openalex.org/W1988357492","https://openalex.org/W1988570599","https://openalex.org/W2010921412","https://openalex.org/W2014223575","https://openalex.org/W2020347382","https://openalex.org/W2021257096","https://openalex.org/W2041523977","https://openalex.org/W2049374408","https://openalex.org/W2066637873","https://openalex.org/W2107119443","https://openalex.org/W2116226692","https://openalex.org/W2488095190","https://openalex.org/W2509362106","https://openalex.org/W2750235028","https://openalex.org/W4210300254","https://openalex.org/W4232240772","https://openalex.org/W4239299544","https://openalex.org/W4243054974","https://openalex.org/W4251483682"],"related_works":["https://openalex.org/W2597266923","https://openalex.org/W2018702098","https://openalex.org/W30930551","https://openalex.org/W2161243591","https://openalex.org/W2952185452","https://openalex.org/W2798106756","https://openalex.org/W2156024331","https://openalex.org/W569408057","https://openalex.org/W2392036275","https://openalex.org/W2003238696"],"abstract_inverted_index":{"The":[0,40,65],"Balancing":[1],"Domain":[2],"Decomposition":[3],"algorithm":[4],"uses":[5],"in":[6,60],"each":[7],"iteration":[8],"solution":[9],"of":[10,69,76,79,88],"local":[11,36],"problems":[12,37,111],"on":[13],"the":[14,26,33,46,77,85,89,113],"subdomains":[15,74],"coupled":[16],"with":[17],"a":[18],"coarse":[19],"problem":[20],"that":[21,32],"is":[22,49],"used":[23,50],"to":[24,30,51],"propagate":[25],"error":[27],"globally":[28],"and":[29,62,75,81,109],"guarantee":[31],"possibly":[34],"singular":[35],"are":[38,67],"consistent.":[39],"abstract":[41],"theory":[42],"introduced":[43],"recently":[44],"by":[45],"first-named":[47],"author":[48],"develop":[52],"condition":[53],"number":[54,78],"bounds":[55,66],"for":[56,107],"conforming":[57],"linear":[58],"elements":[59],"two":[61],"three":[63],"dimensions.":[64],"independent":[68],"arbitrary":[70],"coefficient":[71],"jumps":[72],"between":[73],"subdomains,":[80],"grow":[82],"only":[83],"as":[84],"squared":[86],"logarithm":[87],"mesh":[90],"size":[91],"<inline-formula":[92],"content-type=\"math/mathml\">":[93],"<mml:math":[94],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[95],"alttext=\"h\">":[96],"<mml:semantics>":[97],"<mml:mi>h</mml:mi>":[98],"<mml:annotation":[99],"encoding=\"application/x-tex\">h</mml:annotation>":[100],"</mml:semantics>":[101],"</mml:math>":[102],"</inline-formula>":[103],".":[104],"Computational":[105],"experiments":[106],"two-":[108],"three-dimensional":[110],"confirm":[112],"theory.":[114]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":13},{"year":2012,"cited_by_count":13}],"updated_date":"2026-04-26T08:31:28.666265","created_date":"2025-10-10T00:00:00"}