Residual-based a posteriori error estimation for multipoint flux mixed finite element methods
Type
ArticleAuthors
Du, ShaohongSun, Shuyu

Xie, Xiaoping
KAUST Department
Computational Transport Phenomena LabEarth Science and Engineering Program
Physical Science and Engineering (PSE) Division
Date
2015-10-26Online Publication Date
2015-10-26Print Publication Date
2016-09Permanent link to this record
http://hdl.handle.net/10754/622244
Metadata
Show full item recordAbstract
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.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.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).Publisher
Springer Science and Business Media LLCJournal
Numerische MathematikarXiv
1312.6460Additional Links
http://arxiv.org/pdf/1312.6460ae974a485f413a2113503eed53cd6c53
10.1007/s00211-015-0770-1