{"id":"https://openalex.org/W7223228680","doi":"https://doi.org/10.48550/arxiv.2610.29668","title":"Parameters Robust Parallelizable Iterative Decoupled Algorithms for Thermo-Poroelasticity with Nonlinear Convective Transport","display_name":"Parameters Robust Parallelizable Iterative Decoupled Algorithms for Thermo-Poroelasticity with Nonlinear Convective Transport","publication_year":2026,"publication_date":"2026-10-21","ids":{"openalex":"https://openalex.org/W7223228680","doi":"https://doi.org/10.48550/arxiv.2610.29668"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.29668","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.29668","pdf_url":"https://arxiv.org/pdf/2610.29668","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.29668","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5121790172","display_name":"Ziliang Li","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li, Ziliang","raw_affiliation_strings":["The College of Mathematical Sciences , Harbin Engineering University , 150000 , Harbin , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The College of Mathematical Sciences , Harbin Engineering University , 150000 , Harbin , China","institution_ids":["https://openalex.org/I151727225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5159258010","display_name":"Jingzhi Li","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li, Jingzhi","raw_affiliation_strings":["Department of Mathematics , Southern University of Science and Technology , 518000 , Shenzhen , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Southern University of Science and Technology , 518000 , Shenzhen , China","institution_ids":["https://openalex.org/I3045169105"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"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":0.8925999999046326,"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":0.8925999999046326,"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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.02669999934732914,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.020400000736117363,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/thermo-poroelasticity","display_name":"thermo-poroelasticity","score":0.9589999914169312},{"id":"https://openalex.org/keywords/parallel-iterative-algorithms","display_name":"parallel iterative algorithms","score":0.7979999780654907},{"id":"https://openalex.org/keywords/decoupled-algorithm","display_name":"decoupled algorithm","score":0.8629999756813049},{"id":"https://openalex.org/keywords/poisson-locking","display_name":"Poisson locking","score":0.8539999723434448},{"id":"https://openalex.org/keywords/auxiliary-variables","display_name":"auxiliary variables","score":0.6349999904632568},{"id":"https://openalex.org/keywords/parameter-robustness","display_name":"parameter robustness","score":0.7689999938011169},{"id":"https://openalex.org/keywords/stabilization-terms","display_name":"stabilization terms","score":0.8529999852180481},{"id":"https://openalex.org/keywords/error-estimates","display_name":"error estimates","score":0.8130000233650208},{"id":"https://openalex.org/keywords/convergence-analysis","display_name":"convergence analysis","score":0.8790000081062317},{"id":"https://openalex.org/keywords/coupling-method","display_name":"coupling method","score":0.6190000176429749}],"concepts":[{"id":"https://openalex.org/C148047603","wikidata":"https://www.wikidata.org/wiki/Q1014612","display_name":"Parallelizable manifold","level":2,"score":0.7803999781608582},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6485999822616577},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6216999888420105},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6068999767303467},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6025000214576721},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5748000144958496},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4611000120639801},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4433000087738037},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4318999946117401},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4189999997615814},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3806000053882599},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.36309999227523804},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3443000018596649},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.3052999973297119}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.29668","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.29668","pdf_url":"https://arxiv.org/pdf/2610.29668","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.29668","doi":"https://doi.org/10.48550/arxiv.2610.29668","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.29668","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.29668","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.29668","pdf_url":"https://arxiv.org/pdf/2610.29668","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223228680.pdf","grobid_xml":"https://content.openalex.org/works/W7223228680.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4414528063","https://openalex.org/W4408308814","https://openalex.org/W4412509331","https://openalex.org/W7168404291","https://openalex.org/W7147164542","https://openalex.org/W3084012303","https://openalex.org/W2913782726","https://openalex.org/W7204879695","https://openalex.org/W4412421460","https://openalex.org/W7138109581"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"several":[3],"parallel":[4,59,85,101],"iterative":[5,30,58,86],"algorithms":[6,67,102],"for":[7],"the":[8,18,38,81,96,99],"nonlinear":[9],"thermo-poroelasticity.":[10],"We":[11,75],"introduce":[12],"an":[13],"auxiliary":[14],"variable":[15],"to":[16,25,34,68,94],"transform":[17],"original":[19],"model":[20],"into":[21,65],"a":[22],"four-field":[23,39],"formulation":[24],"overcome":[26],"Poisson":[27],"locking.":[28],"The":[29],"idea":[31],"is":[32],"extended":[33],"linearize":[35],"and":[36,79,111],"decouple":[37],"model.":[40],"Different":[41],"coupling":[42],"strategies":[43],"are":[44,63,92],"employed":[45],"among":[46],"these":[47,66,84],"three":[48],"subproblems,":[49],"combined":[50],"with":[51],"appropriately":[52],"designed":[53],"iteration":[54],"settings,":[55,106],"yielding":[56],"distinct":[57],"algorithms.":[60,88],"Stabilization":[61],"terms":[62],"incorporated":[64],"ensure":[69],"parameter":[70,105],"robustness":[71],"in":[72,103],"extreme":[73,104],"situations.":[74],"derive":[76],"error":[77],"estimates":[78],"prove":[80],"convergence":[82],"of":[83,98],"decoupled":[87],"Finally,":[89],"numerical":[90],"experiments":[91],"presented":[93],"compare":[95],"performance":[97],"different":[100],"thereby":[107],"validating":[108],"their":[109],"efficiency":[110],"robustness.":[112]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-10-23T00:00:00"}