Publication detail
Verification of Functional A Posteriori Error Estimates for Obstacle Problem in 1D
HARASIM, P. VALDMAN, J.
Original Title
Verification of Functional A Posteriori Error Estimates for Obstacle Problem in 1D
Type
journal article - other
Language
English
Original 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.
Keywords
obstacle problem, a posteriori error estimate, functional majorant, finite element method, variational inequalities, Uzawa algorithm
Authors
HARASIM, P.; VALDMAN, J.
RIV year
2013
Released
20. 11. 2013
ISBN
0023-5954
Periodical
Kybernetika
Year of study
2013(49)
Number
5
State
Czech Republic
Pages from
738
Pages to
754
Pages count
17
BibTex
@article{BUT103637,
author="Petr {Harasim} and Jan {Valdman}",
title="Verification of Functional A Posteriori Error Estimates for Obstacle Problem in 1D",
journal="Kybernetika",
year="2013",
volume="2013(49)",
number="5",
pages="738--754",
issn="0023-5954"
}