TY - JOUR
T1 - Residual-based a posteriori error estimation for multipoint flux mixed finite element methods
AU - Du, Shaohong
AU - Sun, Shuyu
AU - Xie, Xiaoping
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This work was supported by National Natural Science Foundation of China (11171239) and Major Research Plan of National Natural Science Foundation of China (91430105).
PY - 2015/10/26
Y1 - 2015/10/26
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/622244
UR - http://link.springer.com/10.1007/s00211-015-0770-1
UR - http://www.scopus.com/inward/record.url?scp=84945259923&partnerID=8YFLogxK
U2 - 10.1007/s00211-015-0770-1
DO - 10.1007/s00211-015-0770-1
M3 - Article
VL - 134
SP - 197
EP - 222
JO - Numerische Mathematik
JF - Numerische Mathematik
SN - 0029-599X
IS - 1
ER -