A posteriori error estimation and dynamic adaptivity for symmetric discontinuous Galerkin approximations of reactive transport problems

2006 ◽  
Vol 195 (7-8) ◽  
pp. 632-652 ◽  
Author(s):  
Shuyu Sun ◽  
Mary F. Wheeler
Keyword(s):  
Discontinuous Galerkin ◽  
Error Estimation ◽  
Reactive Transport ◽  
Posteriori Error ◽  
A Posteriori Error Estimation ◽  
A Posteriori ◽  
Posteriori Error Estimation ◽  
A Posteriori Error ◽  
Galerkin Approximations ◽  
Transport Problems

scholarly journals ENERGY NORM A POSTERIORI ERROR ESTIMATION OF hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS

2007 ◽  
Vol 17 (01) ◽  
pp. 33-62 ◽  
Author(s):  
PAUL HOUSTON ◽  
DOMINIK SCHÖTZAU ◽  
THOMAS P. WIHLER
Keyword(s):  
Discontinuous Galerkin ◽  
Error Estimation ◽  
Elliptic Boundary ◽  
Posteriori Error ◽  
A Posteriori Error Estimation ◽  
Energy Norm ◽  
Upper And Lower Bounds ◽  
A Posteriori ◽  
Posteriori Error Estimation ◽  
A Posteriori Error

In this paper, we develop the a posteriori error estimation of hp-version interior penalty discontinuous Galerkin discretizations of elliptic boundary-value problems. Computable upper and lower bounds on the error measured in terms of a natural (mesh-dependent) energy norm are derived. The bounds are explicit in the local mesh sizes and approximation orders. A series of numerical experiments illustrate the performance of the proposed estimators within an automatic hp-adaptive refinement procedure.

Sign in / Sign up

Export Citation Format

Share Document