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

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Beitragende

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

OriginalspracheEnglisch
Seiten (von - bis)311-322
Seitenumfang12
FachzeitschriftComputational methods in applied mathematics
Jahrgang19
Ausgabenummer2
PublikationsstatusVeröffentlicht - 1 Apr. 2019
Peer-Review-StatusJa

Externe IDs

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

Schlagworte

Schlagwörter

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