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

Shaohong Du, Shuyu Sun, Xiaoping Xie

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)197-222
Number of pages26
JournalNumerische Mathematik
Volume134
Issue number1
DOIs
StatePublished - Oct 26 2015

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