An Elementary method of Deriving A Posteriori Error Equalities and Estimates for Linear Partial Differential Equations
Numerical Analysis
2017-11-16 v2
Abstract
In this paper we present a simple method of deriving a posteriori error equalities and estimates for linear elliptic and parabolic partial differential equations. The error is measured in a combined norm taking into account both the primal and dual variables. We work only on the continuous (often called functional) level and do not suppose any specific properties of numerical methods and discretizations.
Cite
@article{arxiv.1612.01411,
title = {An Elementary method of Deriving A Posteriori Error Equalities and Estimates for Linear Partial Differential Equations},
author = {Immanuel Anjam and Dirk Pauly},
journal= {arXiv preprint arXiv:1612.01411},
year = {2017}
}
Comments
key words: functional a posteriori error estimates, error equalities, parabolic problems, mixed formulations, combined norms