{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,20]],"date-time":"2024-09-20T16:56:33Z","timestamp":1726851393143},"reference-count":40,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2022,11,1]],"date-time":"2022-11-01T00:00:00Z","timestamp":1667260800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2022,11,1]],"date-time":"2022-11-01T00:00:00Z","timestamp":1667260800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2023,9,16]],"date-time":"2023-09-16T00:00:00Z","timestamp":1694822400000},"content-version":"am","delay-in-days":319,"URL":"http:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"},{"start":{"date-parts":[[2022,11,1]],"date-time":"2022-11-01T00:00:00Z","timestamp":1667260800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2022,11,1]],"date-time":"2022-11-01T00:00:00Z","timestamp":1667260800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2022,11,1]],"date-time":"2022-11-01T00:00:00Z","timestamp":1667260800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2022,11,1]],"date-time":"2022-11-01T00:00:00Z","timestamp":1667260800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2022,11,1]],"date-time":"2022-11-01T00:00:00Z","timestamp":1667260800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Computers & Mathematics with Applications"],"published-print":{"date-parts":[[2022,11]]},"DOI":"10.1016\/j.camwa.2022.09.005","type":"journal-article","created":{"date-parts":[[2022,9,16]],"date-time":"2022-09-16T17:14:02Z","timestamp":1663348442000},"page":"31-42","update-policy":"http:\/\/dx.doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":2,"special_numbering":"C","title":["A mixed virtual element method for Biot's consolidation model"],"prefix":"10.1016","volume":"126","author":[{"given":"Feng","family":"Wang","sequence":"first","affiliation":[]},{"given":"Mingchao","family":"Cai","sequence":"additional","affiliation":[]},{"given":"Gang","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Yuping","family":"Zeng","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"issue":"1","key":"10.1016\/j.camwa.2022.09.005_br0010","doi-asserted-by":"crossref","first-page":"386","DOI":"10.1137\/13091141X","article-title":"A stream virtual element formulation of the Stokes problem on polygonal meshes","volume":"52","author":"Antonietti","year":"2014","journal-title":"SIAM J. Numer. Anal."},{"issue":"3","key":"10.1016\/j.camwa.2022.09.005_br0020","doi-asserted-by":"crossref","first-page":"377","DOI":"10.1515\/cmam-2017-0016","article-title":"Weakly imposed symmetry and robust preconditioners for Biot's consolidation model","volume":"17","author":"Baerland","year":"2017","journal-title":"Comput. Methods Appl. Math."},{"key":"10.1016\/j.camwa.2022.09.005_br0030","doi-asserted-by":"crossref","first-page":"745","DOI":"10.1016\/j.cma.2017.03.017","article-title":"Space\u2013time finite element approximation of the Biot poroelasticity system with iterative coupling","volume":"320","author":"Bause","year":"2017","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"01","key":"10.1016\/j.camwa.2022.09.005_br0040","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1142\/S0218202512500492","article-title":"Basic principles of virtual element methods","volume":"23","author":"Beir\u00e3o da Veiga","year":"2013","journal-title":"Math. Models Methods Appl. Sci."},{"issue":"2","key":"10.1016\/j.camwa.2022.09.005_br0050","first-page":"303","article-title":"H(div) and H(curl)-conforming virtual element methods","volume":"133","author":"Beir\u00e3o da Veiga","year":"2016","journal-title":"Numer. Math."},{"issue":"5","key":"10.1016\/j.camwa.2022.09.005_br0060","doi-asserted-by":"crossref","first-page":"A2222","DOI":"10.1137\/15M1009822","article-title":"Stabilized lowest-order finite element approximation for linear three-field poroelasticity","volume":"37","author":"Berger","year":"2015","journal-title":"SIAM J. Sci. Comput."},{"issue":"3","key":"10.1016\/j.camwa.2022.09.005_br0070","doi-asserted-by":"crossref","first-page":"A1508","DOI":"10.1137\/15M1025505","article-title":"A nonconforming high-order method for the Biot problem on general meshes","volume":"38","author":"Boffi","year":"2016","journal-title":"SIAM J. Sci. Comput."},{"issue":"4","key":"10.1016\/j.camwa.2022.09.005_br0080","doi-asserted-by":"crossref","first-page":"1227","DOI":"10.1051\/m2an\/2013138","article-title":"Basic principles of mixed virtual element methods","volume":"48","author":"Brezzi","year":"2014","journal-title":"ESAIM: Math. Model. Numer. Anal."},{"issue":"1","key":"10.1016\/j.camwa.2022.09.005_br0090","doi-asserted-by":"crossref","DOI":"10.1007\/s10444-020-09826-7","article-title":"Virtual element methods for the three-field formulation of time-dependent linear poroelasticity","volume":"47","author":"B\u00fcrger","year":"2021","journal-title":"Adv. Comput. Math."},{"issue":"2","key":"10.1016\/j.camwa.2022.09.005_br0100","doi-asserted-by":"crossref","first-page":"864","DOI":"10.1007\/s10915-018-0796-5","article-title":"A divergence free virtual element method for the Stokes problem on polyhedral meshes","volume":"78","author":"Chen","year":"2019","journal-title":"J. Sci. Comput."},{"issue":"1","key":"10.1016\/j.camwa.2022.09.005_br0110","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1016\/j.jcp.2017.01.004","article-title":"An interface-fitted mesh generator and virtual element methods for elliptic interface problems","volume":"334","author":"Chen","year":"2017","journal-title":"J. Comput. Phys."},{"issue":"307","key":"10.1016\/j.camwa.2022.09.005_br0120","doi-asserted-by":"crossref","first-page":"2053","DOI":"10.1090\/mcom\/3152","article-title":"Minimal degree H(curl) and H(div) conforming finite elements on polytopal meshes","volume":"86","author":"Chen","year":"2017","journal-title":"Math. Comput."},{"key":"10.1016\/j.camwa.2022.09.005_br0130","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1007\/s10596-019-09831-w","article-title":"A fully coupled scheme using virtual element method and finite volume for poroelasticity","volume":"24","author":"Coulet","year":"2020","journal-title":"Comput. Geosci."},{"key":"10.1016\/j.camwa.2022.09.005_br0140","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.cma.2014.09.009","article-title":"A hybrid high-order locking-free method for linear elasticity on general meshes","volume":"283","author":"Di Pietro","year":"2015","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"1","key":"10.1016\/j.camwa.2022.09.005_br0150","doi-asserted-by":"crossref","first-page":"330","DOI":"10.1093\/imanum\/drx003","article-title":"Analysis of a multiphysics finite element method for a poroelasticity model","volume":"38","author":"Feng","year":"2017","journal-title":"IMA J. Numer. Anal."},{"key":"10.1016\/j.camwa.2022.09.005_br0160","doi-asserted-by":"crossref","first-page":"1507","DOI":"10.1002\/nag.1062","article-title":"On the causes of pressure oscillations in low-permeable and low-compressible porous media","volume":"36","author":"Haga","year":"2012","journal-title":"Int. J. Numer. Anal. Methods Geomech."},{"key":"10.1016\/j.camwa.2022.09.005_br0170","doi-asserted-by":"crossref","first-page":"202","DOI":"10.1553\/etna_vol48s202","article-title":"Parameter-robust stability of classical three-field formulation of Biot's consolidation model","volume":"48","author":"Hong","year":"2018","journal-title":"Electron. Trans. Numer. Anal."},{"key":"10.1016\/j.camwa.2022.09.005_br0180","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1016\/j.cam.2016.06.003","article-title":"A nonconforming finite element method for the Biot's consolidation model in poroelasticity","volume":"310","author":"Hu","year":"2017","journal-title":"J. Comput. Appl. Math."},{"issue":"2","key":"10.1016\/j.camwa.2022.09.005_br0190","doi-asserted-by":"crossref","first-page":"610","DOI":"10.1007\/s10915-016-0210-0","article-title":"Robust error analysis of coupled mixed methods for Biot's consolidation model","volume":"69","author":"Lee","year":"2016","journal-title":"J. Sci. Comput."},{"issue":"1","key":"10.1016\/j.camwa.2022.09.005_br0200","doi-asserted-by":"crossref","first-page":"A1","DOI":"10.1137\/15M1029473","article-title":"Parameter-robust discretization and preconditioning of Biot's consolidation model","volume":"39","author":"Lee","year":"2017","journal-title":"SIAM J. Sci. Comput."},{"key":"10.1016\/j.camwa.2022.09.005_br0210","doi-asserted-by":"crossref","first-page":"1163","DOI":"10.1016\/j.jcp.2013.07.031","article-title":"Mimetic finite difference method","volume":"257","author":"Lipnikov","year":"2014","journal-title":"J. Comput. Phys."},{"issue":"3","key":"10.1016\/j.camwa.2022.09.005_br0220","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1007\/s10596-012-9318-y","article-title":"Convergence of iterative coupling for coupled flow and geomechanics","volume":"17","author":"Mikeli\u0107","year":"2013","journal-title":"Comput. Geosci."},{"issue":"1","key":"10.1016\/j.camwa.2022.09.005_br0230","first-page":"31","article-title":"Weak Galerkin finite element methods on polytopal meshes","volume":"12","author":"Mu","year":"2015","journal-title":"Int. J. Numer. Anal. Model."},{"issue":"2","key":"10.1016\/j.camwa.2022.09.005_br0240","doi-asserted-by":"crossref","first-page":"757","DOI":"10.1007\/s10596-020-09972-3","article-title":"A stabilized hybrid mixed finite element method for poroelasticity","volume":"25","author":"Niu","year":"2021","journal-title":"Comput. Geosci."},{"issue":"5","key":"10.1016\/j.camwa.2022.09.005_br0250","doi-asserted-by":"crossref","first-page":"2951","DOI":"10.1137\/15M1050082","article-title":"Locking-free finite element methods for poroelasticity","volume":"54","author":"Oyarz\u00faa","year":"2016","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"10.1016\/j.camwa.2022.09.005_br0260","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1007\/s10596-007-9045-y","article-title":"A coupling of mixed and continuous Galerkin finite element methods for poroelasticity i: the continuous in time case","volume":"11","author":"Phillips","year":"2007","journal-title":"Comput. Geosci."},{"issue":"2","key":"10.1016\/j.camwa.2022.09.005_br0270","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1007\/s10596-007-9044-z","article-title":"A coupling of mixed and continuous Galerkin finite element methods for poroelasticity ii: the discrete-in-time case","volume":"11","author":"Phillips","year":"2007","journal-title":"Comput. Geosci."},{"issue":"4","key":"10.1016\/j.camwa.2022.09.005_br0280","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1007\/s10596-008-9082-1","article-title":"A coupling of mixed and discontinuous Galerkin finite-element methods for poroelasticity","volume":"12","author":"Phillips","year":"2008","journal-title":"Comput. Geosci."},{"key":"10.1016\/j.camwa.2022.09.005_br0290","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1007\/s10596-008-9114-x","article-title":"Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach","volume":"13","author":"Phillips","year":"2009","journal-title":"Comput. Geosci."},{"issue":"11","key":"10.1016\/j.camwa.2022.09.005_br0300","doi-asserted-by":"crossref","first-page":"1207","DOI":"10.1002\/nag.951","article-title":"Stabilization procedures in coupled poromechanics problems: a critical assessment","volume":"35","author":"Preisig","year":"2011","journal-title":"Int. J. Numer. Anal. Methods Geomech."},{"key":"10.1016\/j.camwa.2022.09.005_br0310","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1007\/s40324-015-0054-9","article-title":"Poroelasticity problem: numerical difficulties and efficient multigrid solution","volume":"73","author":"Rodrigo","year":"2016","journal-title":"SeMA"},{"key":"10.1016\/j.camwa.2022.09.005_br0320","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1016\/j.cma.2015.09.019","article-title":"Stability and monotonicity for some discretizations of the Biot's consolidation model","volume":"298","author":"Rodrigo","year":"2016","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"10.1016\/j.camwa.2022.09.005_br0330","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1016\/j.cma.2018.07.003","article-title":"New stabilized discretizations for poroelasticity and the Stokes' equations","volume":"341","author":"Rodrigo","year":"2018","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"5","key":"10.1016\/j.camwa.2022.09.005_br0340","doi-asserted-by":"crossref","first-page":"804","DOI":"10.1016\/j.camwa.2017.01.007","article-title":"A coupling of weak Galerkin and mixed finite element methods for poroelasticity","volume":"73","author":"Sun","year":"2017","journal-title":"Comput. Math. Appl."},{"key":"10.1016\/j.camwa.2022.09.005_br0350","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1007\/s00158-011-0706-z","article-title":"PolyMesher: a general-purpose mesh generator for polygonal elements written in Matlab","volume":"45","author":"Talischi","year":"2012","journal-title":"Struct. Multidiscip. Optim."},{"key":"10.1016\/j.camwa.2022.09.005_br0360","doi-asserted-by":"crossref","first-page":"S909","DOI":"10.1051\/m2an\/2020064","article-title":"On the locking-free three-field virtual element methods for Biot's consolidation model in poroelasticity","volume":"55","author":"Tang","year":"2021","journal-title":"ESAIM: M2AN"},{"key":"10.1016\/j.camwa.2022.09.005_br0370","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/j.cam.2012.10.003","article-title":"A weak Galerkin finite element method for second-order elliptic problems","volume":"241","author":"Wang","year":"2013","journal-title":"J. Comput. Appl. Math."},{"issue":"5","key":"10.1016\/j.camwa.2022.09.005_br0380","doi-asserted-by":"crossref","first-page":"1749","DOI":"10.1002\/num.21775","article-title":"A coupling of nonconforming and mixed finite element methods for Biot's consolidation model","volume":"29","author":"Yi","year":"2013","journal-title":"Numer. Methods Partial Differ. Equ."},{"issue":"4","key":"10.1016\/j.camwa.2022.09.005_br0390","doi-asserted-by":"crossref","first-page":"1189","DOI":"10.1002\/num.21865","article-title":"Convergence analysis of a new mixed finite element method for Biot's consolidation model","volume":"30","author":"Yi","year":"2014","journal-title":"Numer. Methods Partial Differ. Equ."},{"issue":"4","key":"10.1016\/j.camwa.2022.09.005_br0400","doi-asserted-by":"crossref","first-page":"1915","DOI":"10.1137\/16M1056109","article-title":"A study of two modes of locking in poroelasticity","volume":"55","author":"Yi","year":"2017","journal-title":"SIAM J. Numer. Anal."}],"container-title":["Computers & Mathematics with Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0898122122003789?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0898122122003789?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2024,4,22]],"date-time":"2024-04-22T20:20:47Z","timestamp":1713817247000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0898122122003789"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,11]]},"references-count":40,"alternative-id":["S0898122122003789"],"URL":"https:\/\/doi.org\/10.1016\/j.camwa.2022.09.005","relation":{},"ISSN":["0898-1221"],"issn-type":[{"value":"0898-1221","type":"print"}],"subject":[],"published":{"date-parts":[[2022,11]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"A mixed virtual element method for Biot's consolidation model","name":"articletitle","label":"Article Title"},{"value":"Computers & Mathematics with Applications","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.camwa.2022.09.005","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2022 Elsevier Ltd. All rights reserved.","name":"copyright","label":"Copyright"}]}}