Pointwise a Posteriori Error Control for Discontinuous Galerkin Methods for Elliptic Problems

2012 ◽  
Vol 50 (5) ◽  
pp. 2159-2181 ◽  
Author(s):  
Alan Demlow ◽  
Emmanuil H. Georgoulis
Keyword(s):  
Discontinuous Galerkin ◽  
Error Control ◽  
Discontinuous Galerkin Methods ◽  
Elliptic Problems ◽  
Posteriori Error ◽  
Galerkin Methods ◽  
A Posteriori ◽  
A Posteriori Error

A Priori and a Posteriori Error Analysis of the Discontinuous Galerkin Methods for Reissner-Mindlin Plates

2011 ◽  
Vol 3 (6) ◽  
pp. 649-662 ◽  
Author(s):  
Jun Hu ◽  
Yunqing Huang
Keyword(s):  
Discontinuous Galerkin ◽  
Error Control ◽  
Discontinuous Galerkin Methods ◽  
A Priori ◽  
Posteriori Error ◽  
Mindlin Plate ◽  
Galerkin Methods ◽  
A Posteriori ◽  
A Posteriori Error ◽  
Posteriori Error Analysis

AbstractIn this paper, we apply an a posteriori error control theory that we develop in a very recent paper to three families of the discontinuous Galerkin methods for the Reissner-Mindlin plate problem. We derive robust a posteriori error estimators for them and prove their reliability and efficiency.

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