A posteriori error estimates of finite element methods by preconditioning
Numerical Analysis
2020-10-13 v2 Numerical Analysis
Abstract
We present a framework that relates preconditioning with a posteriori error estimates in finite element methods. In particular, we use standard tools in subspace correction methods to obtain reliable and efficient error estimators. As a simple example, we recover the classical residual error estimators for the second order elliptic equations.
Cite
@article{arxiv.2002.06697,
title = {A posteriori error estimates of finite element methods by preconditioning},
author = {Yuwen Li and Ludmil Zikatanov},
journal= {arXiv preprint arXiv:2002.06697},
year = {2020}
}
Comments
14 pages