A Posteriori Output Bound for Partial Differential Equations Based on Elemental Error Bound Computing

2003 ◽  
pp. 1035-1044 ◽  
Author(s):  
Z. C. Xuan ◽  
K. H. Lee ◽  
J. Peraire
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Error Bound ◽  
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.

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