{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T20:08:57Z","timestamp":1778702937619,"version":"3.51.4"},"reference-count":46,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100003453","name":"Guangdong Provincial Natural Science Foundation","doi-asserted-by":"publisher","award":["2023A1515010803"],"award-info":[{"award-number":["2023A1515010803"]}],"id":[{"id":"10.13039\/501100003453","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100007219","name":"Shanghai Municipal Natural Science Foundation","doi-asserted-by":"publisher","award":["25ZR1401122"],"award-info":[{"award-number":["25ZR1401122"]}],"id":[{"id":"10.13039\/100007219","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11871009"],"award-info":[{"award-number":["11871009"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12371397"],"award-info":[{"award-number":["12371397"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12571467"],"award-info":[{"award-number":["12571467"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Computers &amp; Mathematics with Applications"],"published-print":{"date-parts":[[2026,7]]},"DOI":"10.1016\/j.camwa.2026.03.038","type":"journal-article","created":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T15:25:15Z","timestamp":1775575515000},"page":"53-64","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["A post-processed technique for the finite volume element method"],"prefix":"10.1016","volume":"213","author":[{"given":"Wenming","family":"He","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jiming","family":"Wu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dongjie","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.camwa.2026.03.038_bib0001","series-title":"Finite Volume Methods: Foundation and Analysis","volume":"1","author":"Barth","year":"2004"},{"key":"10.1016\/j.camwa.2026.03.038_bib0002","article-title":"Methods de Volums Elements Finis: Applications aux Equations de Navier-Stokes et Resultats de Convergence","author":"Emonot","year":"1992"},{"key":"10.1016\/j.camwa.2026.03.038_bib0003","series-title":"Finite Volume Methods: Handbook of Numerical Analysis VII","author":"Eymard","year":"2000"},{"key":"10.1016\/j.camwa.2026.03.038_bib0004","doi-asserted-by":"crossref","first-page":"953","DOI":"10.1002\/fld.3830","article-title":"A new weighted upwind finite volume element method based on non-standard covolume for time-dependent convection-diffusion problems","volume":"73","author":"Gao","year":"2013","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"10.1016\/j.camwa.2026.03.038_bib0005","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1137\/0733003","article-title":"Finite volume methods for convection-diffusion problems","volume":"33","author":"Lazarov","year":"1996","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.camwa.2026.03.038_bib0006","series-title":"Cambridge Texts in Applied Mathematics","article-title":"Finite volume methods for hyperbolic problems","author":"Leveque","year":"2002"},{"key":"10.1016\/j.camwa.2026.03.038_bib0007","series-title":"Computational Fluid Dynamics Review","first-page":"279","article-title":"Covolume methods in computational fluid dynamics","author":"Nicolaides","year":"1995"},{"key":"10.1016\/j.camwa.2026.03.038_bib0008","doi-asserted-by":"crossref","first-page":"729","DOI":"10.1006\/jcph.2002.7159","article-title":"A high-order-accurate unconstructed mesh finite-volume scheme for the advection-diffusion equation","volume":"181","author":"Ollivier-Gooch","year":"2002","journal-title":"J. Comput. Phys."},{"key":"10.1016\/j.camwa.2026.03.038_bib0009","doi-asserted-by":"crossref","first-page":"1226","DOI":"10.1137\/S0036142902406302","article-title":"On the construction and analysis of high order locally conservative finite volume type methods for one dimensional elliptic problems","volume":"42","author":"Plexousakis","year":"2004","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.camwa.2026.03.038_bib0010","doi-asserted-by":"crossref","first-page":"777","DOI":"10.1137\/0724050","article-title":"Some error estimates for the box method","volume":"24","author":"Bank","year":"1987","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.camwa.2026.03.038_bib0011","doi-asserted-by":"crossref","first-page":"713","DOI":"10.1007\/BF01385651","article-title":"On the finite volume element method","volume":"58","author":"Cai","year":"1991","journal-title":"Numer. Math."},{"key":"10.1016\/j.camwa.2026.03.038_bib0012","doi-asserted-by":"crossref","first-page":"636","DOI":"10.1137\/0727039","article-title":"On the accuracy of the finite volume element method fordiffusion equations on composite grids","volume":"27","author":"Cai","year":"1990","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.camwa.2026.03.038_bib0013","doi-asserted-by":"crossref","first-page":"4021","DOI":"10.1137\/080720164","article-title":"A new class of high order finite volume methods for second order elliptic equations","volume":"47","author":"Chen","year":"2010","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.camwa.2026.03.038_bib0014","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1007\/s10444-011-9201-8","article-title":"Higher-order finite volume methods for elliptic boundary value problems","volume":"37","author":"Chen","year":"2012","journal-title":"Adv. Comput. Math."},{"key":"10.1016\/j.camwa.2026.03.038_bib0015","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1090\/S0025-5718-99-01192-8","article-title":"Error estimates in L2, H1 and L\u221e in covolume methods for elliptic and parabolic problems: a unified approach","volume":"69","author":"Chou","year":"2000","journal-title":"Math. Comp."},{"key":"10.1016\/j.camwa.2026.03.038_bib0016","doi-asserted-by":"crossref","first-page":"1639","DOI":"10.1137\/050643994","article-title":"Unified analysis of finite volume methods for second order elliptic problems","volume":"45","author":"Chou","year":"2007","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.camwa.2026.03.038_bib0017","doi-asserted-by":"crossref","first-page":"1865","DOI":"10.1137\/S0036142900368873","article-title":"On the accuracy of the finite volume element based on piecewise linear polynomials","volume":"39","author":"Ewing","year":"2002","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.camwa.2026.03.038_bib0018","doi-asserted-by":"crossref","first-page":"2246","DOI":"10.1137\/18M1197746","article-title":"Interior estimates of finite volume element methods over quadrilateral meshes for elliptic equations","volume":"57","author":"Guo","year":"2019","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.camwa.2026.03.038_bib0019","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1007\/s00211-017-0912-8","article-title":"Maximum-norms error estimates for high order finite volume schemes over quadrilateral meshes","volume":"138","author":"He","year":"2018","journal-title":"Numer. Math."},{"key":"10.1016\/j.camwa.2026.03.038_bib0020","series-title":"The Generalized Difference Methods for Partial differential Equations","author":"Li","year":"2000"},{"key":"10.1016\/j.camwa.2026.03.038_bib0021","first-page":"140","article-title":"Generalized difference methods for second order elliptic partial differential equations (I)-triangle grids","volume":"2","author":"Li","year":"1982","journal-title":"Numer. Math. J. Chin. Univ."},{"key":"10.1016\/j.camwa.2026.03.038_bib0022","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1007\/BF02252250","article-title":"The finite volume element method with quadratic basis function","volume":"57","author":"Liebau","year":"1996","journal-title":"Computing"},{"key":"10.1016\/j.camwa.2026.03.038_bib0023","doi-asserted-by":"crossref","first-page":"2009","DOI":"10.1137\/140963121","article-title":"L2 error estimates for a class of any order finite volume schemes over quadrilateral meshes","volume":"53","author":"Lin","year":"2015","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.camwa.2026.03.038_bib0024","doi-asserted-by":"crossref","first-page":"2397","DOI":"10.1137\/100805881","article-title":"Optimal biquadratic finite volume element methods on quadrilateral meshes","volume":"50","author":"Lv","year":"2012","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.camwa.2026.03.038_bib0025","first-page":"611","article-title":"Polynomial preserving recovery for the finite volume element methods under simplex meshes","volume":"94","author":"Li","year":"2025","journal-title":"Math. Comp."},{"key":"10.1016\/j.camwa.2026.03.038_bib0026","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1007\/BF02238536","article-title":"Box schemes on quadrilateral meshes","volume":"51","author":"Schmidt","year":"1993","journal-title":"Computing"},{"key":"10.1016\/j.camwa.2026.03.038_bib0027","doi-asserted-by":"crossref","first-page":"2729","DOI":"10.1137\/140988486","article-title":"L2 error estimates for high order finite volume methods on triangular meshes","volume":"54","author":"Wang","year":"2016","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.camwa.2026.03.038_bib0028","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1016\/j.cam.2018.08.025","article-title":"Superconvergence of quadratic finite volume element method on triangular meshes","volume":"348","author":"Wang","year":"2019","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.camwa.2026.03.038_bib0029","doi-asserted-by":"crossref","first-page":"469","DOI":"10.1007\/s00211-008-0189-z","article-title":"Analysis of linear and quadratic simplitical finite volume methods for elliptic equations","volume":"111","author":"Xu","year":"2009","journal-title":"Numer. Math."},{"key":"10.1016\/j.camwa.2026.03.038_bib0030","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1007\/s00211-014-0664-7","article-title":"Vertex-centered finite volume schemes of any order over quadrilateral meshes for elliptic boundary value problems","volume":"130","author":"Zhang","year":"2015","journal-title":"Numer. Math."},{"key":"10.1016\/j.camwa.2026.03.038_bib0031","doi-asserted-by":"crossref","first-page":"2473","DOI":"10.1016\/j.camwa.2019.11.017","article-title":"A family of quadratic finite volume element schemes over triangular meshes for elliptic equations","volume":"79","author":"Zhou","year":"2020","journal-title":"Comput. Math. Appl."},{"key":"10.1016\/j.camwa.2026.03.038_bib0032","doi-asserted-by":"crossref","first-page":"527","DOI":"10.4208\/csiam-am.SO-2024-0051","article-title":"New finite volume element schemes based on a two-layer dual strategy","volume":"6","author":"Huang","year":"2025","journal-title":"CSIAM Trans. Appl. Math."},{"key":"10.1016\/j.camwa.2026.03.038_bib0033","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1007\/s10915-016-0244-3","article-title":"An unconditionally stable quadratic finite volume scheme over triangular meshes for elliptic equations","volume":"70","author":"Zou","year":"2017","journal-title":"J. Sci. Comput."},{"key":"10.1016\/j.camwa.2026.03.038_bib0034","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1007\/s10444-023-10085-5","article-title":"An unconditionally stable and L2 optimal quadratic finite volume scheme over triangularmeshes for anisotropic elliptic equations","volume":"49","author":"Wu","year":"2023","journal-title":"Adv. Comput. Math."},{"key":"10.1016\/j.camwa.2026.03.038_bib0035","doi-asserted-by":"crossref","first-page":"2666","DOI":"10.1137\/16M1066567","article-title":"High order continuous local-conserving fluxes and finite-volume-like finite element solutions for elliptic equations","volume":"55","author":"Zou","year":"2017","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.camwa.2026.03.038_bib0036","doi-asserted-by":"crossref","DOI":"10.1016\/j.aml.2022.108354","article-title":"A new high order finite volume element solution on arbitrary triangular and quadrilateral meshes","volume":"134","author":"Zhou","year":"2022","journal-title":"Appl. Math. Lett."},{"key":"10.1016\/j.camwa.2026.03.038_bib0037","doi-asserted-by":"crossref","DOI":"10.1016\/j.cam.2024.116319","article-title":"A novel post-processed finite element method and its convergence for partial differentional equations","volume":"457","author":"He","year":"2025","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.camwa.2026.03.038_bib0038","doi-asserted-by":"crossref","first-page":"1762","DOI":"10.1137\/S0036142994264699","article-title":"On the finite volume element method for general self-adjoint elliptic problems","volume":"35","author":"Huang","year":"1998","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.camwa.2026.03.038_bib0039","article-title":"Non-Homogeneous Boundary Vaue Problems and Applications","author":"Lions","year":"1972"},{"key":"10.1016\/j.camwa.2026.03.038_bib0040","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1007\/BF02320197","article-title":"Anisotropic interpolation with applications to the finite element method","volume":"47","author":"Apel","year":"1992","journal-title":"Computing"},{"key":"10.1016\/j.camwa.2026.03.038_bib0041","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1007\/s10092-004-0086-5","article-title":"The inf-sup condition for low order elements on anisotropic meshes","volume":"41","author":"Apel","year":"2004","journal-title":"Calcolo"},{"key":"10.1016\/j.camwa.2026.03.038_bib0042","doi-asserted-by":"crossref","first-page":"1693","DOI":"10.1090\/mcom\/3159","article-title":"2k Superconvergence of Qk finite elements by anisotropic mesh approximation in weighted Sobolev spaces","volume":"86","author":"He","year":"2017","journal-title":"Math. Comp."},{"key":"10.1016\/j.camwa.2026.03.038_bib0043","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1016\/j.cma.2019.05.024","article-title":"Graded parametric CutFEM and CutIGA for elliptic boundary value problems in domains with corners","volume":"354","author":"Jonsson","year":"2019","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"10.1016\/j.camwa.2026.03.038_bib0044","doi-asserted-by":"crossref","first-page":"1533","DOI":"10.1090\/mcom\/3724","article-title":"Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh","volume":"91","author":"Li","year":"2022","journal-title":"Math. Comp."},{"key":"10.1016\/j.camwa.2026.03.038_bib0045","doi-asserted-by":"crossref","first-page":"771","DOI":"10.1007\/s00211-002-0393-1","article-title":"Mixed HP -finite element approximations on geometric edge and boundary layer meshes in three dimensions","volume":"94","author":"Toselli","year":"2003","journal-title":"Numer. Math."},{"key":"10.1016\/j.camwa.2026.03.038_bib0046","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1002\/nme.1620120107","article-title":"Some criteria for numerical integrated matrices and quadrature formulas for triangles","volume":"12","author":"Laursen","year":"1978","journal-title":"Int. J. Numer. Meth. Eng."}],"container-title":["Computers &amp; Mathematics with Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0898122126001380?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0898122126001380?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T19:34:05Z","timestamp":1778700845000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0898122126001380"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,7]]},"references-count":46,"alternative-id":["S0898122126001380"],"URL":"https:\/\/doi.org\/10.1016\/j.camwa.2026.03.038","relation":{},"ISSN":["0898-1221"],"issn-type":[{"value":"0898-1221","type":"print"}],"subject":[],"published":{"date-parts":[[2026,7]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"A post-processed technique for the finite volume element method","name":"articletitle","label":"Article Title"},{"value":"Computers & Mathematics with Applications","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.camwa.2026.03.038","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}]}}