{"id":"https://openalex.org/W3012529304","doi":"https://doi.org/10.1137/20m1324296","title":"Parameter-Robust Stochastic Galerkin Mixed Approximation for Linear Poroelasticity with Uncertain Inputs","display_name":"Parameter-Robust Stochastic Galerkin Mixed Approximation for Linear Poroelasticity with Uncertain Inputs","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3012529304","doi":"https://doi.org/10.1137/20m1324296","mag":"3012529304"},"language":"en","primary_location":{"id":"doi:10.1137/20m1324296","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1324296","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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 Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.manchester.ac.uk/en/publications/f74344e4-9155-44db-84e7-fae94b066145","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040684079","display_name":"Arbaz Khan","orcid":"https://orcid.org/0000-0001-6625-700X"},"institutions":[{"id":"https://openalex.org/I154851008","display_name":"Indian Institute of Technology Roorkee","ror":"https://ror.org/00582g326","country_code":"IN","type":"education","lineage":["https://openalex.org/I154851008"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Arbaz Khan","raw_affiliation_strings":["INDIAN INSTITUTE OF TECHNOLOGY ROORKEE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INDIAN INSTITUTE OF TECHNOLOGY ROORKEE","institution_ids":["https://openalex.org/I154851008"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073050362","display_name":"Catherine E. Powell","orcid":"https://orcid.org/0000-0003-3605-6797"},"institutions":[{"id":"https://openalex.org/I4210131439","display_name":"Applied Mathematics (United States)","ror":"https://ror.org/03seew607","country_code":"US","type":"company","lineage":["https://openalex.org/I4210131439"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Catherine E. Powell","raw_affiliation_strings":["Applied Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied Mathematics","institution_ids":["https://openalex.org/I4210131439"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2853,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.5992819,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"43","issue":"4","first_page":"B855","last_page":"B883"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10894","display_name":"Groundwater flow and contamination studies","score":0.9672999978065491,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11371","display_name":"Wind and Air Flow Studies","score":0.960099995136261,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/biot-number","display_name":"Biot number","score":0.8007718920707703},{"id":"https://openalex.org/keywords/poromechanics","display_name":"Poromechanics","score":0.6963012218475342},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5798569917678833},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5536271333694458},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5293123126029968},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5070333480834961},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.48385322093963623},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.39720427989959717},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3919690251350403},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3374534249305725},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.21719852089881897},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12151491641998291},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.11507487297058105},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.09191560745239258}],"concepts":[{"id":"https://openalex.org/C115341296","wikidata":"https://www.wikidata.org/wiki/Q864844","display_name":"Biot number","level":2,"score":0.8007718920707703},{"id":"https://openalex.org/C181965411","wikidata":"https://www.wikidata.org/wiki/Q2314330","display_name":"Poromechanics","level":4,"score":0.6963012218475342},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5798569917678833},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5536271333694458},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5293123126029968},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5070333480834961},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.48385322093963623},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.39720427989959717},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3919690251350403},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3374534249305725},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.21719852089881897},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12151491641998291},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.11507487297058105},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.09191560745239258},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.0},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","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:10.1137/20m1324296","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1324296","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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 Computing","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire/f74344e4-9155-44db-84e7-fae94b066145","is_oa":true,"landing_page_url":"https://research.manchester.ac.uk/en/publications/f74344e4-9155-44db-84e7-fae94b066145","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Khan, A & Powell, C 2021, 'Parameter-Robust Stochastic Galerkin Mixed Approximation for Linear Poroelasticity with Uncertain Inputs', SIAM Journal on Scientific Computing. https://doi.org/10.1137/20M1324296","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:arXiv.org:2003.06628","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.06628","pdf_url":"https://arxiv.org/pdf/2003.06628","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,"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.2003.06628","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2003.06628","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,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"},{"id":"mag:3012529304","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:openaire/f74344e4-9155-44db-84e7-fae94b066145","is_oa":true,"landing_page_url":"https://research.manchester.ac.uk/en/publications/f74344e4-9155-44db-84e7-fae94b066145","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Khan, A & Powell, C 2021, 'Parameter-Robust Stochastic Galerkin Mixed Approximation for Linear Poroelasticity with Uncertain Inputs', SIAM Journal on Scientific Computing. https://doi.org/10.1137/20M1324296","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3972664235","display_name":null,"funder_award_id":"EP/P013317","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5360315768","display_name":null,"funder_award_id":"MTR/2020/ 000303","funder_id":"https://openalex.org/F4320334771","funder_display_name":"Science and Engineering Research Board"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320334771","display_name":"Science and Engineering Research Board","ror":"https://ror.org/03ffdsr55"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W145740987","https://openalex.org/W990331194","https://openalex.org/W1031739173","https://openalex.org/W1429555026","https://openalex.org/W1589221889","https://openalex.org/W1969540877","https://openalex.org/W1971856869","https://openalex.org/W1980053021","https://openalex.org/W1991777578","https://openalex.org/W2001352405","https://openalex.org/W2002101467","https://openalex.org/W2011975592","https://openalex.org/W2018159038","https://openalex.org/W2024621437","https://openalex.org/W2044863064","https://openalex.org/W2059880466","https://openalex.org/W2082969232","https://openalex.org/W2083754610","https://openalex.org/W2090768120","https://openalex.org/W2094400909","https://openalex.org/W2102031020","https://openalex.org/W2133248904","https://openalex.org/W2150175265","https://openalex.org/W2253982452","https://openalex.org/W2480611454","https://openalex.org/W2499131454","https://openalex.org/W2513947690","https://openalex.org/W2523884417","https://openalex.org/W2897765100","https://openalex.org/W2906281376","https://openalex.org/W2923075433","https://openalex.org/W2960015942","https://openalex.org/W2963604924","https://openalex.org/W2963743244","https://openalex.org/W2964046760","https://openalex.org/W3021293439","https://openalex.org/W3037124262","https://openalex.org/W3145008516"],"related_works":["https://openalex.org/W2923075433","https://openalex.org/W2996275449","https://openalex.org/W2949258356","https://openalex.org/W2807516795","https://openalex.org/W1984126659","https://openalex.org/W2085357575","https://openalex.org/W1491313751","https://openalex.org/W2902098963","https://openalex.org/W2292303945","https://openalex.org/W3174284460","https://openalex.org/W2944388318","https://openalex.org/W1866481951","https://openalex.org/W3103249331","https://openalex.org/W2890144937","https://openalex.org/W2270327904","https://openalex.org/W3036856667","https://openalex.org/W2135852055","https://openalex.org/W2235834230","https://openalex.org/W2027290586","https://openalex.org/W3098878546"],"abstract_inverted_index":{"Linear":[0],"poroelasticity":[1,70],"models":[2,46,71],"have":[3,55],"important":[4,88],"applications":[5],"in":[6,99,147,170,212],"biology":[7],"and":[8,33,47,75,91,108,119,124,204,219],"geophysics.":[9],"In":[10,103],"particular,":[11],"the":[12,18,22,110,138,152,171,186,213,216,220,226],"well-known":[13],"Biot":[14,82],"consolidation":[15],"model":[16,83,116],"describes":[17],"coupled":[19],"interaction":[20],"between":[21],"linear":[23,45],"response":[24],"of":[25,87,112,199,202],"a":[26,34,85,113,131,158,182],"porous":[27],"elastic":[28],"medium":[29],"saturated":[30],"with":[31,72,117,130,143,176,208],"fluid":[32,36],"diffusive":[35],"flow":[37],"within":[38],"it,":[39],"assuming":[40],"small":[41],"deformations.":[42],"Although":[43],"deterministic":[44],"finite":[48,164],"element":[49,165],"methods":[50],"for":[51,68,76,185],"solving":[52,69],"them":[53],"numerically":[54],"been":[56],"well":[57,224],"studied,":[58],"there":[59],"is":[60,141,168,205],"little":[61],"work":[62],"to":[63,145,210],"date":[64],"on":[65],"robust":[66,169,207],"algorithms":[67],"uncertain":[73,98,118],"inputs":[74,92],"performing":[77],"uncertainty":[78],"quantification":[79],"(UQ).":[80],"The":[81],"has":[84],"number":[86],"physical":[89,149],"parameters":[90],"whose":[93],"precise":[94],"values":[95],"are":[96],"often":[97],"real":[100],"world":[101],"scenarios.":[102],"this":[104],"work,":[105],"we":[106,135,180],"introduce":[107,157],"analyze":[109],"well-posedness":[111],"new":[114,191],"five-field":[115],"spatially":[120],"varying":[121],"Young's":[122],"modulus":[123],"hydraulic":[125],"conductivity":[126],"field.":[127],"By":[128],"working":[129],"properly":[132],"weighted":[133],"norm,":[134,179],"establish":[136],"that":[137,167],"weak":[139],"solution":[140],"stable":[142],"respect":[144,209],"variations":[146,211],"key":[148],"parameters,":[150],"including":[151],"Poisson":[153,214],"ratio.":[154],"We":[155],"then":[156],"novel":[159],"locking-free":[160],"stochastic":[161],"Galerkin":[162],"mixed":[163],"method":[166,192],"nearly":[172],"incompressible":[173],"case.":[174],"Armed":[175],"an":[177],"appropriate":[178],"construct":[181],"parameter-robust":[183],"preconditioner":[184],"associated":[187],"discrete":[188],"systems.":[189],"Our":[190],"facilitates":[193],"forward":[194],"UQ,":[195],"allowing":[196],"efficient":[197],"calculation":[198],"statistical":[200],"quantities":[201],"interest,":[203],"provably":[206],"ratio,":[215],"Biot--Willis":[217],"constant,":[218],"storage":[221],"coefficient,":[222],"as":[223,225],"discretization":[227],"parameters.":[228]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}