An Elementary Method of Deriving A Posteriori Error Equalities and Estimates for Linear Partial Differential Equations

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

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.

Details

Original languageEnglish
Pages (from-to)311-322
Number of pages12
JournalComputational methods in applied mathematics
Volume19
Issue number2
Publication statusPublished - 1 Apr 2019
Peer-reviewedYes

External IDs

ORCID /0000-0003-4155-7297/work/145224258

Keywords

Keywords

  • Combined Norms, Error Equalities, Functional A Posteriori Error Estimates, Mixed Formulations, Parabolic Problems