Residual-based a posteriori error estimation for multipoint flux mixed finite element methods
KAUST DepartmentComputational Transport Phenomena Lab
Physical Sciences and Engineering (PSE) Division
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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.
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.
SponsorsThis work was supported by National Natural Science Foundation of China (11171239) and Major Research Plan of National Natural Science Foundation of China (91430105).