An Elementary Method of Deriving A Posteriori Error Equalities and Estimates for Linear Partial Differential Equations
Research output: Contribution to journal › Research article › Contributed › peer-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 language | English |
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Pages (from-to) | 311-322 |
Number of pages | 12 |
Journal | Computational methods in applied mathematics |
Volume | 19 |
Issue number | 2 |
Publication status | Published - 1 Apr 2019 |
Peer-reviewed | Yes |
External IDs
ORCID | /0000-0003-4155-7297/work/145224258 |
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Keywords
ASJC Scopus subject areas
Keywords
- Combined Norms, Error Equalities, Functional A Posteriori Error Estimates, Mixed Formulations, Parabolic Problems