An A Posteriori Error Analysis of Mixed Finite Element Galerkin Approximations to Second Order Linear Parabolic Problems

2012 ◽  
Vol 50 (3) ◽  
pp. 1367-1393 ◽  
Author(s):  
Sajid Memon ◽  
Neela Nataraj ◽  
Amiya Kumar Pani
Keyword(s):  
Finite Element ◽  
Error Analysis ◽  
Mixed Finite Element ◽  
Posteriori Error ◽  
Parabolic Problems ◽  
A Posteriori ◽  
A Posteriori Error Analysis ◽  
A Posteriori Error ◽  
Galerkin Approximations ◽  
Posteriori Error Analysis

Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality

Acta Numerica ◽  
2002 ◽  
Vol 11 ◽  
pp. 145-236 ◽  
Author(s):  
Michael B. Giles ◽  
Endre Süli
Keyword(s):  
Finite Element ◽  
Error Analysis ◽  
Posteriori Error ◽  
Integral Functionals ◽  
A Posteriori ◽  
A Posteriori Error Analysis ◽  
Adjoint Methods ◽  
A Posteriori Error ◽  
Recent Developments ◽  
Posteriori Error Analysis

We give an overview of recent developments concerning the use of adjoint methods in two areas: the a posteriori error analysis of finite element methods for the numerical solution of partial differential equations where the quantity of interest is a functional of the solution, and superconvergent extraction of integral functionals by postprocessing.

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