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dc.contributor.authorDu, Shaohong
dc.contributor.authorSun, Shuyu
dc.contributor.authorXie, Xiaoping
dc.date.accessioned2017-01-02T08:42:40Z
dc.date.available2017-01-02T08:42:40Z
dc.date.issued2015-10-26
dc.identifier.citationDu S, Sun S, Xie X (2015) Residual-based a posteriori error estimation for multipoint flux mixed finite element methods. Numerische Mathematik 134: 197–222. Available: http://dx.doi.org/10.1007/s00211-015-0770-1.
dc.identifier.issn0029-599X
dc.identifier.issn0945-3245
dc.identifier.doi10.1007/s00211-015-0770-1
dc.identifier.urihttp://hdl.handle.net/10754/622244
dc.description.abstractA novel residual-type a posteriori error analysis technique is developed for multipoint flux mixed finite element methods for flow in porous media in two or three space dimensions. The derived a posteriori error estimator for the velocity and pressure error in L-norm consists of discretization and quadrature indicators, and is shown to be reliable and efficient. The main tools of analysis are a locally postprocessed approximation to the pressure solution of an auxiliary problem and a quadrature error estimate. Numerical experiments are presented to illustrate the competitive behavior of the estimator.
dc.description.sponsorshipThis work was supported by National Natural Science Foundation of China (11171239) and Major Research Plan of National Natural Science Foundation of China (91430105).
dc.publisherSpringer Nature
dc.subject65N06
dc.subject65N12
dc.subject65N15
dc.subject65N30
dc.subject76S05
dc.titleResidual-based a posteriori error estimation for multipoint flux mixed finite element methods
dc.typeArticle
dc.contributor.departmentComputational Transport Phenomena Lab
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalNumerische Mathematik
dc.contributor.institutionSchool of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, 400047, China
dc.contributor.institutionBeijing Computational Science Research Center, Beijing, 100084, China
dc.contributor.institutionSchool of Mathematics, Sichuan University, Chengdu, 610064, China
dc.identifier.arxividarXiv:1312.6460
kaust.personSun, Shuyu
dc.date.published-online2015-10-26
dc.date.published-print2016-09


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