Error estimates for stabilized finite element methods applied to ill-posed problems
Numerical Analysis
2014-06-18 v1
Abstract
We propose an analysis for the stabilized finite element methods proposed in, E. Burman, Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. Part I: Elliptic equations. SIAM J. Sci. Comput., 35(6) 2013, valid in the case of ill-posed problems for which only weak continuous dependence can be assumed. A priori and a posteriori error estimates are obtained without assuming coercivity or inf-sup stability of the continuous problem. A numerical example illustrates the theory.
Cite
@article{arxiv.1406.4371,
title = {Error estimates for stabilized finite element methods applied to ill-posed problems},
author = {Erik Burman},
journal= {arXiv preprint arXiv:1406.4371},
year = {2014}
}
Comments
The theoretical part is submitted to Comptes Rendus Mathematiques and the numerical example is taken from the reference mentioned in the abstract