Residual-based a posteriori error estimation for multipoint flux mixed finite element methods
Numerical Analysis
2013-12-24 v1
Abstract
A novel residual-type {\it 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 {\it a posteriori} error estimator for the velocity and pressure error in 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.
Cite
@article{arxiv.1312.6460,
title = {Residual-based a posteriori error estimation for multipoint flux mixed finite element methods},
author = {Shaohong Du and Shuyu Sun and Xiaoping Xie},
journal= {arXiv preprint arXiv:1312.6460},
year = {2013}
}