{"id":"https://openalex.org/W2014851917","doi":"https://doi.org/10.1155/2012/352081","title":"Applications of Symmetric and Nonsymmetric MSSOR Preconditioners to Large\u2010Scale Biot\u2032s Consolidation Problems with Nonassociated Plasticity","display_name":"Applications of Symmetric and Nonsymmetric MSSOR Preconditioners to Large\u2010Scale Biot\u2032s Consolidation Problems with Nonassociated Plasticity","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2014851917","doi":"https://doi.org/10.1155/2012/352081","mag":"2014851917"},"language":"en","primary_location":{"id":"doi:10.1155/2012/352081","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/352081","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/352081.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2012/352081.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100329854","display_name":"Xi Chen","orcid":"https://orcid.org/0000-0001-7099-7318"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xi Chen","raw_affiliation_strings":["Department of Geotechnical Engineering, School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China"],"affiliations":[{"raw_affiliation_string":"Department of Geotechnical Engineering, School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071268993","display_name":"Kok\u2010Kwang Phoon","orcid":"https://orcid.org/0000-0003-2577-8639"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Kok Kwang Phoon","raw_affiliation_strings":["Department of Civil and Environmental Engineering, National University of Singapore, E1A-07-14, Blk E1A, 07-03, 1 Engineering Drive 2, Singapore 117576"],"affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, National University of Singapore, E1A-07-14, Blk E1A, 07-03, 1 Engineering Drive 2, Singapore 117576","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100329854"],"corresponding_institution_ids":["https://openalex.org/I21193070"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":2.8049,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.89452683,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10233","display_name":"Geotechnical Engineering and Soil Mechanics","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T10233","display_name":"Geotechnical Engineering and Soil Mechanics","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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":0.9970999956130981,"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/T11694","display_name":"Fluid Dynamics Simulations and Interactions","score":0.9951000213623047,"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/preconditioner","display_name":"Preconditioner","score":0.8102046847343445},{"id":"https://openalex.org/keywords/consolidation","display_name":"Consolidation (business)","score":0.611579954624176},{"id":"https://openalex.org/keywords/biot-number","display_name":"Biot number","score":0.6076815724372864},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6039283871650696},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5651918649673462},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5516725778579712},{"id":"https://openalex.org/keywords/stiffness","display_name":"Stiffness","score":0.521434485912323},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4686158299446106},{"id":"https://openalex.org/keywords/plasticity","display_name":"Plasticity","score":0.43367767333984375},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4312695562839508},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39194196462631226},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31585031747817993},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.10292470455169678},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.093558669090271},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.08746877312660217},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07723814249038696}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.8102046847343445},{"id":"https://openalex.org/C2776014549","wikidata":"https://www.wikidata.org/wiki/Q3050847","display_name":"Consolidation (business)","level":2,"score":0.611579954624176},{"id":"https://openalex.org/C115341296","wikidata":"https://www.wikidata.org/wiki/Q864844","display_name":"Biot number","level":2,"score":0.6076815724372864},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6039283871650696},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5651918649673462},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5516725778579712},{"id":"https://openalex.org/C2779372316","wikidata":"https://www.wikidata.org/wiki/Q569057","display_name":"Stiffness","level":2,"score":0.521434485912323},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4686158299446106},{"id":"https://openalex.org/C79186407","wikidata":"https://www.wikidata.org/wiki/Q472074","display_name":"Plasticity","level":2,"score":0.43367767333984375},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4312695562839508},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39194196462631226},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31585031747817993},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.10292470455169678},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.093558669090271},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.08746877312660217},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07723814249038696},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1155/2012/352081","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/352081","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/352081.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:scholarbank.nus.edu.sg:10635/58959","is_oa":false,"landing_page_url":"http://scholarbank.nus.edu.sg/handle/10635/58959","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"Article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1357179948","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1357179948","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:352081","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/352081.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:ce7b9afa7d594472bce1ab94e72a1597","is_oa":true,"landing_page_url":"https://doaj.org/article/ce7b9afa7d594472bce1ab94e72a1597","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/352081","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/352081","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/352081.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6899999976158142,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G1671221571","display_name":null,"funder_award_id":"2011JBM070","funder_id":"https://openalex.org/F4320327033","funder_display_name":"State Key Laboratory of Hydroscience and Engineering"},{"id":"https://openalex.org/G7566879080","display_name":null,"funder_award_id":"(2010) 1561","funder_id":"https://openalex.org/F4320327033","funder_display_name":"State Key Laboratory of Hydroscience and Engineering"},{"id":"https://openalex.org/G8438637899","display_name":null,"funder_award_id":"SKL-2010-TC-2","funder_id":"https://openalex.org/F4320327033","funder_display_name":"State Key Laboratory of Hydroscience and Engineering"}],"funders":[{"id":"https://openalex.org/F4320327033","display_name":"State Key Laboratory of Hydroscience and Engineering","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2014851917.pdf","grobid_xml":"https://content.openalex.org/works/W2014851917.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1678750361","https://openalex.org/W1967468998","https://openalex.org/W1969964862","https://openalex.org/W1975071113","https://openalex.org/W1977631509","https://openalex.org/W1978562552","https://openalex.org/W2003550247","https://openalex.org/W2006751447","https://openalex.org/W2040639345","https://openalex.org/W2042694208","https://openalex.org/W2045368206","https://openalex.org/W2053039451","https://openalex.org/W2055072688","https://openalex.org/W2059698062","https://openalex.org/W2068062961","https://openalex.org/W2070419067","https://openalex.org/W2077441566","https://openalex.org/W2084894745","https://openalex.org/W2085259167","https://openalex.org/W2107501462","https://openalex.org/W2139009841","https://openalex.org/W2149844844","https://openalex.org/W2151118700","https://openalex.org/W2165197944","https://openalex.org/W2494779131","https://openalex.org/W3034651469"],"related_works":["https://openalex.org/W2325733899","https://openalex.org/W1970414682","https://openalex.org/W2283235658","https://openalex.org/W3120468868","https://openalex.org/W3022662421","https://openalex.org/W2066041241","https://openalex.org/W1513752583","https://openalex.org/W1567048268","https://openalex.org/W1970273404","https://openalex.org/W2104711345"],"abstract_inverted_index":{"Two":[0],"solution":[1,17,84],"schemes":[2,99],"are":[3,56,75],"proposed":[4],"and":[5,53,62,71],"compared":[6,90],"for":[7],"large":[8,137],"3D":[9],"soil":[10],"consolidation":[11],"problems":[12],"with":[13,60,101],"nonassociated":[14],"plasticity.":[15],"One":[16],"scheme":[18],"results":[19,87],"in":[20,58,111,118],"the":[21,27,31,35,41,47,51,79,82,92,96,123],"nonsymmetric":[22,61],"linear":[23,37,49],"equations":[24],"due":[25,39],"to":[26,34,40,77,91,107,131,134],"Newton":[28,93],"iteration,":[29],"while":[30],"other":[32],"leads":[33],"symmetric":[36,63,97,125],"systems":[38],"symmetrized":[42],"stiffness":[43,98,126],"strategies.":[44],"To":[45],"solve":[46,135],"resulting":[48],"systems,":[50],"QMR":[52],"SQMR":[54],"solver":[55],"employed":[57],"conjunction":[59],"MSSOR":[64],"preconditioner,":[65],"respectively.":[66],"A":[67],"simple":[68],"footing":[69],"example":[70,74],"a":[72,108],"pile\u2010group":[73],"used":[76],"assess":[78],"performance":[80],"of":[81],"two":[83],"schemes.":[85],"Numerical":[86],"disclose":[88],"that":[89,122],"iterative":[94],"scheme,":[95],"combined":[100],"adequate":[102],"acceleration":[103],"strategy":[104],"may":[105],"lead":[106],"significant":[109],"reduction":[110],"total":[112],"computer":[113],"runtime":[114],"as":[115,117],"well":[116],"memory":[119],"requirement,":[120],"indicating":[121],"accelerated":[124],"method":[127],"has":[128],"considerable":[129],"potential":[130],"be":[132],"exploited":[133],"very":[136],"problems.":[138]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2016-06-24T00:00:00"}
