A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem

1999 ◽  
Vol 328 (9) ◽  
pp. 823-828 ◽  
Author(s):  
Yvon Maday ◽  
Anthony T. Patera ◽  
Jaume Peraire
Keyword(s):  
Partial Differential Equations ◽  
Eigenvalue Problem ◽  
Differential Equations ◽  
A Posteriori ◽  
Partial Differential

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

2019 ◽  
Vol 19 (2) ◽  
pp. 311-322 ◽  
Author(s):  
Immanuel Anjam ◽  
Dirk Pauly
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Posteriori Error ◽  
A Posteriori ◽  
Partial Differential ◽  
Simple Method ◽  
A Posteriori Error ◽  
Elementary Method ◽  
Linear Partial Differential Equations ◽  
Primal And Dual

AbstractIn 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.

Sign in / Sign up

Export Citation Format

Share Document