English

Accurate a posteriori error evaluation in the reduced basis method

Numerical Analysis 2014-05-16 v1

Abstract

In the reduced basis method, the evaluation of the a posteriori estimator can become very sensitive to round-off errors. In this note, the origin of the loss of accuracy is revealed, and a solution to this problem is proposed and illustrated on a simple example.

Keywords

Cite

@article{arxiv.1205.6051,
  title  = {Accurate a posteriori error evaluation in the reduced basis method},
  author = {Fabien Casenave},
  journal= {arXiv preprint arXiv:1205.6051},
  year   = {2014}
}

Comments

6 pages, 1 figure

R2 v1 2026-06-21T21:10:14.189Z