Paper Info
Title
A Posteriori Error Estimates for the Stationary Navier-Stokes Equations with Dirac Measures.
Abstract
In two dimensions, we propose and analyze an a posteriori error estimator for finite element approximations of the stationary Navier-Stokes equations with singular sources on Lipschitz, but not necessarily convex, polygonal domains. Under a smallness assumption on the continuous and discrete solutions, we prove that the devised error estimator is reliable and locally efficient. We illustrate the theory with numerical examples.
Year
DOI
Venue
2020
10.1137/19M1292436
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Keywords
DocType
Volume
a posteriori error estimates,Navier-Stokes equations,Dirac measures,Mucken-houpt weights
Journal
42
Issue
ISSN
Citations 
3
1064-8275
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Alejandro Allendes143.92
Enrique Otárola28613.91
Abner J. Salgado310513.27