A posteriori error estimates of finite element methods by preconditioning

Yuwen Li, Ludmil Zikatanov

Published 2020-02-16Version 1

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.