Verification of functional a posteriori error estimates for obstacle problem in 1D
Numerical Analysis
2016-11-04 v3
Abstract
We verify functional a posteriori error estimate for obstacle problem proposed by Repin. Simplification into 1D allows for the construction of a nonlinear benchmark for which an exact solution of the obstacle problem can be derived. Quality of a numerical approximation obtained by the finite element method is compared with the exact solution and the error of approximation is bounded from above by a majorant error estimate. The sharpness of the majorant error estimate is discussed.
Cite
@article{arxiv.1301.5923,
title = {Verification of functional a posteriori error estimates for obstacle problem in 1D},
author = {Petr Harasim and Jan Valdman},
journal= {arXiv preprint arXiv:1301.5923},
year = {2016}
}