Verification of functional a posteriori error estimates for obstacle problem in 1D

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F13%3A00424082" target="_blank" >RIV/67985556:_____/13:00424082 - isvavai.cz</a>

Alternative codes found

RIV/00216305:26110/13:PU106480

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Verification of functional a posteriori error estimates for obstacle problem in 1D

Original language description

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.

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

<a href="/en/project/GA13-18652S" target="_blank" >GA13-18652S: Computational modeling of damage and transport processes in quasi-brittle materials</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2013

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

49

Issue of the periodical within the volume

5

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

12

Pages from-to

738-754

UT code for WoS article

000328665200005

EID of the result in the Scopus database

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