paper

A posteriori error estimates of finite element methods by preconditioning

arXiv:2002.06697 · doi:10.1016/j.camwa.2020.08.001

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.

14 pages

A posteriori error estimates of finite element methods by preconditioning · wovepaper