Residual a Posteriori Error Estimate of a New Two-Level Method for Steady Navier-Stokes Equations

2006 ◽  
Vol 19 (4) ◽  
pp. 478-490 ◽  
Author(s):  
Chunfeng Ren ◽  
Yichen Ma
Keyword(s):  
Error Estimate ◽  
Stokes Equations ◽  
Posteriori Error ◽  
A Posteriori Error Estimate ◽  
Navier Stokes ◽  
Posteriori Error Estimate ◽  
A Posteriori ◽  
Navier Stokes Equations ◽  
A Posteriori Error ◽  
Level Method

A HIERARCHICAL A POSTERIORI ERROR ESTIMATE FOR AN ADVECTION-DIFFUSION-REACTION PROBLEM

2005 ◽  
Vol 15 (07) ◽  
pp. 1119-1139 ◽  
Author(s):  
RODOLFO ARAYA ◽  
ABNER H. POZA ◽  
ERNST P. STEPHAN
Keyword(s):  
Error Estimate ◽  
Posteriori Error ◽  
A Posteriori Error Estimate ◽  
Diffusion Reaction ◽  
Posteriori Error Estimate ◽  
A Posteriori ◽  
A Posteriori Error ◽  
Advection Diffusion ◽  
Norm Of The Error ◽  
Reaction Problem

In this work we introduce a new a posteriori error estimate of hierarchical type for the advection-diffusion-reaction equation. We prove the equivalence between the energy norm of the error and our error estimate using an auxiliary linear problem for the residual and an easy way to prove inf–sup condition.

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