Verification of functional a posteriori error estimates for obstacle problem in 2D

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12310%2F14%3A43887953" target="_blank" >RIV/60076658:12310/14:43887953 - isvavai.cz</a>

Alternative codes found

RIV/67985556:_____/14:00441661 RIV/00216305:26110/14:PU112146

Result on the web

<a href="http://dx.doi.org/10.14736/kyb-2014-6-0978" target="_blank" >http://dx.doi.org/10.14736/kyb-2014-6-0978</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.14736/kyb-2014-6-0978" target="_blank" >10.14736/kyb-2014-6-0978</a>

Result language

angličtina

Original language name

Verification of functional a posteriori error estimates for obstacle problem in 2D

Original language description

We verify functional a posteriori error estimates proposed by S. Repin for a class of obstacle problems in two space dimensions. New benchmarks with known analytical solution are constructed based on one dimensional benchmark introduced by P. Harasim andJ. Valdman. Numerical approximation of the solution of the obstacle problem is obtained by the finite element method using bilinear elements on a rectangular mesh. Error of the approximation is measured by a functional majorant. The majorant value contains three unknown fields: a gradient field discretized by Raviart-Thomas elements, Lagrange multipliers field discretized by piecewise constant functions and a scalar parameter "beta". The minimization of the majorant value is realized by an alternate minimization algorithm, whose convergence is discussed. Numerical results validate two estimates, the energy estimate bounding the error of approximation in the energy norm by the difference of energies of discrete and exact solutions and t

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2014

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Kybernetika

ISSN

0023-5954

e-ISSN

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Volume of the periodical

50

Issue of the periodical within the volume

6

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

25

Pages from-to

978-1002

UT code for WoS article

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EID of the result in the Scopus database

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