Conforming and Non-Conforming Functional A Posteriori Error Estimates for Elliptic Boundary Value Problems in Exterior Domains: Theory and Numerical Tests
Numerical Analysis
2014-07-22 v1 Analysis of PDEs
Abstract
This paper is concerned with the derivation of conforming and non-conforming functional a posteriori error estimates for elliptic boundary value problems in exterior domains. These estimates provide computable and guaranteed upper and lower bounds for the difference between the exact and the approximate solution of the respective problem. We extend earlier results for conforming approximations to the non-conforming case, for which the approximate solutions might not belong to the energy space and are just considered to be square integrable. Moreover, we present some numerical tests.
Keywords
Cite
@article{arxiv.1307.4709,
title = {Conforming and Non-Conforming Functional A Posteriori Error Estimates for Elliptic Boundary Value Problems in Exterior Domains: Theory and Numerical Tests},
author = {Olli Mali and Alexey Muzalevskiy and Dirk Pauly},
journal= {arXiv preprint arXiv:1307.4709},
year = {2014}
}