A posteriori error analysis for finite element methods with projection operators as applied to explicit time integration techniques

2014 ◽  
Vol 55 (4) ◽  
pp. 1017-1042 ◽  
Author(s):  
J. B. Collins ◽  
D. Estep ◽  
S. Tavener
Keyword(s):  
Finite Element ◽  
Time Integration ◽  
Posteriori Error ◽  
Projection Operators ◽  
A Posteriori ◽  
A Posteriori Error Analysis ◽  
Explicit Time Integration ◽  
A Posteriori Error ◽  
Integration Techniques ◽  
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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