{"id":"https://openalex.org/W2033331586","doi":"https://doi.org/10.1137/0913041","title":"Iterative Solution of Linear Systems Arising from the Boundary Integral Method","display_name":"Iterative Solution of Linear Systems Arising from the Boundary Integral Method","publication_year":1992,"publication_date":"1992-05-01","ids":{"openalex":"https://openalex.org/W2033331586","doi":"https://doi.org/10.1137/0913041","mag":"2033331586"},"language":"en","primary_location":{"id":"doi:10.1137/0913041","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0913041","pdf_url":null,"source":{"id":"https://openalex.org/S4210181992","display_name":"SIAM Journal on Scientific and Statistical Computing","issn_l":"0196-5204","issn":["0196-5204","2168-3417"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 and Statistical Computing","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/A5066323735","display_name":"Kendall Atkinson","orcid":"https://orcid.org/0000-0002-5727-7030"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kendall E. Atkinson","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5064637859","display_name":"Ivan G. Graham","orcid":"https://orcid.org/0000-0002-5730-676X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ivan G. Graham","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5066323735"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.0362,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.97500462,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"3","first_page":"694","last_page":"722"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9994000196456909,"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/T10514","display_name":"Numerical methods in engineering","score":0.9994000196456909,"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":0.9991999864578247,"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":0.9991000294685364,"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/mathematics","display_name":"Mathematics","score":0.7145249843597412},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.6977682113647461},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.6259593963623047},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5872888565063477},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5584022402763367},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5203380584716797},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.46626219153404236},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4550340175628662},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4457903504371643},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.43957585096359253},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3044058680534363}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7145249843597412},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6977682113647461},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.6259593963623047},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5872888565063477},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5584022402763367},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5203380584716797},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.46626219153404236},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4550340175628662},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4457903504371643},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.43957585096359253},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3044058680534363},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0913041","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0913041","pdf_url":null,"source":{"id":"https://openalex.org/S4210181992","display_name":"SIAM Journal on Scientific and Statistical Computing","issn_l":"0196-5204","issn":["0196-5204","2168-3417"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 and Statistical Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W169461701","https://openalex.org/W347869985","https://openalex.org/W1985307809","https://openalex.org/W2000855689","https://openalex.org/W2025582311","https://openalex.org/W2034937882","https://openalex.org/W2037987121","https://openalex.org/W2055698048","https://openalex.org/W2060810131","https://openalex.org/W2061011667","https://openalex.org/W2093595117","https://openalex.org/W2107082378","https://openalex.org/W2138751008","https://openalex.org/W2147180495","https://openalex.org/W4230055019"],"related_works":["https://openalex.org/W2243040821","https://openalex.org/W4250916133","https://openalex.org/W2619027208","https://openalex.org/W2226903625","https://openalex.org/W4287755247","https://openalex.org/W2043273258","https://openalex.org/W1973822606","https://openalex.org/W1568591221","https://openalex.org/W2004351213","https://openalex.org/W1977914018"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"the":[3,12,31,34,59,62],"behavior":[4],"of":[5,14,20,25,33,61],"some":[6,44],"standard":[7],"two-grid":[8],"iterative":[9,49],"schemes":[10,39,50],"for":[11,58],"solution":[13,63],"linear":[15],"systems":[16],"arising":[17],"from":[18],"discretizations":[19],"second-kind":[21],"boundary":[22,32],"integral":[23],"equations":[24],"potential":[26],"theory":[27],"is":[28],"studied.":[29],"When":[30],"domain":[35],"has":[36],"corners,":[37],"these":[38],"converge":[40,67],"slowly,":[41],"and":[42,56,75],"in":[43],"cases":[45],"even":[46],"diverge.":[47],"New":[48],"are":[51,68,73],"derived":[52],"which":[53,65],"always":[54],"converge,":[55],"estimates":[57],"accuracy":[60],"to":[64],"they":[66],"given.":[69],"Extensive":[70],"numerical":[71],"experiments":[72],"reported":[74],"discussed.":[76]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
