Stabilized nonconforming finite element methods for data assimilation in incompressible flows
Numerical Analysis
2016-09-21 v1
Abstract
We consider a stabilized nonconforming finite element method for data assimilation in incompressible flow subject to the Stokes' equations. The method uses a primal dual structure that allows for the inclusion of nonstandard data. Error estimates are obtained that are optimal compared to the conditional stability of the ill-posed data assimilation problem.
Cite
@article{arxiv.1609.06044,
title = {Stabilized nonconforming finite element methods for data assimilation in incompressible flows},
author = {Erik Burman and Peter Hansbo},
journal= {arXiv preprint arXiv:1609.06044},
year = {2016}
}