Residual-based a posteriori error estimation for multipoint flux mixed finite element methods

Handle URI:
http://hdl.handle.net/10754/622244
Title:
Residual-based a posteriori error estimation for multipoint flux mixed finite element methods
Authors:
Du, Shaohong; Sun, Shuyu ( 0000-0002-3078-864X ) ; Xie, Xiaoping
Abstract:
A 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.
KAUST Department:
Computational Transport Phenomena Lab; Physical Sciences and Engineering (PSE) Division
Citation:
Du 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.
Publisher:
Springer Nature
Journal:
Numerische Mathematik
Issue Date:
26-Oct-2015
DOI:
10.1007/s00211-015-0770-1
Type:
Article
ISSN:
0029-599X; 0945-3245
Sponsors:
This work was supported by National Natural Science Foundation of China (11171239) and Major Research Plan of National Natural Science Foundation of China (91430105).
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Computational Transport Phenomena Lab

Full metadata record

DC FieldValue Language
dc.contributor.authorDu, Shaohongen
dc.contributor.authorSun, Shuyuen
dc.contributor.authorXie, Xiaopingen
dc.date.accessioned2017-01-02T08:42:40Z-
dc.date.available2017-01-02T08:42:40Z-
dc.date.issued2015-10-26en
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.en
dc.identifier.issn0029-599Xen
dc.identifier.issn0945-3245en
dc.identifier.doi10.1007/s00211-015-0770-1en
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.en
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).en
dc.publisherSpringer Natureen
dc.subject65N06en
dc.subject65N12en
dc.subject65N15en
dc.subject65N30en
dc.subject76S05en
dc.titleResidual-based a posteriori error estimation for multipoint flux mixed finite element methodsen
dc.typeArticleen
dc.contributor.departmentComputational Transport Phenomena Laben
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalNumerische Mathematiken
dc.contributor.institutionSchool of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, 400047, Chinaen
dc.contributor.institutionBeijing Computational Science Research Center, Beijing, 100084, Chinaen
dc.contributor.institutionSchool of Mathematics, Sichuan University, Chengdu, 610064, Chinaen
kaust.authorSun, Shuyuen
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