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

Kód výsledku v 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>

Nalezeny alternativní kódy

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

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

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

Popis výsledku anglicky

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

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2014

Kód důvěrnosti údajů

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

Název periodika

Kybernetika

ISSN

0023-5954

e-ISSN

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Svazek periodika

50

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

25

Strana od-do

978-1002

Kód UT WoS článku

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EID výsledku v databázi Scopus

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