{"id":"https://openalex.org/W1968151550","doi":"https://doi.org/10.1002/nla.1680020102","title":"A parallel version of the preconditioned conjugate gradient method for boundary element equations","display_name":"A parallel version of the preconditioned conjugate gradient method for boundary element equations","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W1968151550","doi":"https://doi.org/10.1002/nla.1680020102","mag":"1968151550"},"language":"en","primary_location":{"id":"doi:10.1002/nla.1680020102","is_oa":false,"landing_page_url":"https://doi.org/10.1002/nla.1680020102","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":true,"oa_status":"green","oa_url":"https://monarch.qucosa.de/id/qucosa%3A17418","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001113720","display_name":"Matthias Pester","orcid":null},"institutions":[{"id":"https://openalex.org/I2610724","display_name":"Chemnitz University of Technology","ror":"https://ror.org/00a208s56","country_code":"DE","type":"education","lineage":["https://openalex.org/I2610724"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Matthias Pester","raw_affiliation_strings":["Technical University of Chemnitz-Zwickau, Faculty of Mathematics, D-09107 Chemnitz, Germany","Technical University of Chemnitz\u2010Zwickau, Faculty of Mathematics, D\u201009107 Chemnitz, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Chemnitz-Zwickau, Faculty of Mathematics, D-09107 Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]},{"raw_affiliation_string":"Technical University of Chemnitz\u2010Zwickau, Faculty of Mathematics, D\u201009107 Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007902275","display_name":"Sergej Rjasanow","orcid":"https://orcid.org/0000-0002-6646-230X"},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sergej Rjasanow","raw_affiliation_strings":["University of Kaiserslautern, Department of Mathematics, P.O.B. 3049, D-67653 Kaiserslautern, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Kaiserslautern, Department of Mathematics, P.O.B. 3049, D-67653 Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5001113720"],"corresponding_institution_ids":["https://openalex.org/I2610724"],"apc_list":{"value":4430,"currency":"USD","value_usd":4430},"apc_paid":null,"fwci":1.0092,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.70451152,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2","issue":"1","first_page":"1","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9991999864578247,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.7844492197036743},{"id":"https://openalex.org/keywords/transputer","display_name":"Transputer","score":0.6154873967170715},{"id":"https://openalex.org/keywords/mimd","display_name":"MIMD","score":0.6101188659667969},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5960841774940491},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.5815938711166382},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5617621541023254},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.5372113585472107},{"id":"https://openalex.org/keywords/precondition","display_name":"Precondition","score":0.46637633442878723},{"id":"https://openalex.org/keywords/conjugate-residual-method","display_name":"Conjugate residual method","score":0.463058203458786},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.462126225233078},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.4609426259994507},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.42582347989082336},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4253396987915039},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4244038462638855},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.4133966565132141},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.3961934447288513},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37098440527915955},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34552913904190063},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.2796646058559418},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2379765808582306},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.10333508253097534},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.08887243270874023}],"concepts":[{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.7844492197036743},{"id":"https://openalex.org/C2778319340","wikidata":"https://www.wikidata.org/wiki/Q776861","display_name":"Transputer","level":2,"score":0.6154873967170715},{"id":"https://openalex.org/C21032095","wikidata":"https://www.wikidata.org/wiki/Q1149237","display_name":"MIMD","level":2,"score":0.6101188659667969},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5960841774940491},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.5815938711166382},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5617621541023254},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.5372113585472107},{"id":"https://openalex.org/C192465680","wikidata":"https://www.wikidata.org/wiki/Q1413450","display_name":"Precondition","level":2,"score":0.46637633442878723},{"id":"https://openalex.org/C91394653","wikidata":"https://www.wikidata.org/wiki/Q5161159","display_name":"Conjugate residual method","level":4,"score":0.463058203458786},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.462126225233078},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.4609426259994507},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.42582347989082336},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4253396987915039},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4244038462638855},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.4133966565132141},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3961934447288513},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37098440527915955},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34552913904190063},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.2796646058559418},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2379765808582306},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.10333508253097534},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.08887243270874023},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/nla.1680020102","is_oa":false,"landing_page_url":"https://doi.org/10.1002/nla.1680020102","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"},{"id":"pmh:oai:qucosa:de:qucosa:17418","is_oa":true,"landing_page_url":"https://monarch.qucosa.de/id/qucosa%3A17418","pdf_url":null,"source":{"id":"https://openalex.org/S4377196645","display_name":"Qucosa - Monarch (Chemnitz University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2610724","host_organization_name":"Chemnitz University of Technology","host_organization_lineage":["https://openalex.org/I2610724"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"doc-type:Text"}],"best_oa_location":{"id":"pmh:oai:qucosa:de:qucosa:17418","is_oa":true,"landing_page_url":"https://monarch.qucosa.de/id/qucosa%3A17418","pdf_url":null,"source":{"id":"https://openalex.org/S4377196645","display_name":"Qucosa - Monarch (Chemnitz University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2610724","host_organization_name":"Chemnitz University of Technology","host_organization_lineage":["https://openalex.org/I2610724"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"doc-type:Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W201580082","https://openalex.org/W1166725562","https://openalex.org/W1505148209","https://openalex.org/W1514581472","https://openalex.org/W1569711904","https://openalex.org/W1587475006","https://openalex.org/W1981502225","https://openalex.org/W1981805060","https://openalex.org/W1986390661","https://openalex.org/W1996087276","https://openalex.org/W2006045235","https://openalex.org/W2021858722","https://openalex.org/W2061171222","https://openalex.org/W2069519519","https://openalex.org/W2086878177","https://openalex.org/W2108167744","https://openalex.org/W2122056736","https://openalex.org/W2134572726","https://openalex.org/W2281802485","https://openalex.org/W2316564661","https://openalex.org/W2498157070","https://openalex.org/W4214815319","https://openalex.org/W4239433729"],"related_works":["https://openalex.org/W2274126825","https://openalex.org/W40159155","https://openalex.org/W2010262206","https://openalex.org/W2258036147","https://openalex.org/W4253717210","https://openalex.org/W4254509010","https://openalex.org/W2079149898","https://openalex.org/W4255090097","https://openalex.org/W4244994076","https://openalex.org/W2365178527"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"parallel":[2,40],"version":[3],"of":[4,57,72],"precondition":[5],"techniques":[6],"is":[7,66],"developed":[8],"for":[9,18,28,51,60,75],"matrices":[10],"arising":[11],"from":[12],"the":[13,70],"Galerkin":[14],"boundary":[15,23],"element":[16],"method":[17],"two\u2010dimensional":[19],"domains":[20],"with":[21],"Dirichlet":[22],"conditions.":[24],"Results":[25],"were":[26],"obtained":[27],"implementations":[29],"on":[30,37],"a":[31,52],"transputer":[32],"network":[33],"as":[34,36],"well":[35,49],"an":[38],"nCUBE\u20102":[39],"computer":[41],"showing":[42],"that":[43],"iterative":[44,61,73],"solution":[45,64],"methods":[46,65,74],"are":[47],"very":[48],"suited":[50],"MIMD":[53],"computer.":[54],"A":[55],"comparison":[56],"numerical":[58],"results":[59],"and":[62,68],"direct":[63],"presented":[67],"underlines":[69],"superiority":[71],"large":[76],"systems.":[77]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}