A posteriori upper and lower error bound of the high-order discontinuous Galerkin method for the heat conduction equation

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10283096" target="_blank" >RIV/00216208:11320/14:10283096 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s10492-014-0045-7" target="_blank" >http://dx.doi.org/10.1007/s10492-014-0045-7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10492-014-0045-7" target="_blank" >10.1007/s10492-014-0045-7</a>

Result language

angličtina

Original language name

A posteriori upper and lower error bound of the high-order discontinuous Galerkin method for the heat conduction equation

Original language description

We deal with the numerical solution of the nonstationary heat conduction equation with mixed Dirichlet/Neumann boundary conditions. The backward Euler method is employed for the time discretization and the interior penalty discontinuous Galerkin method for the space discretization. Assuming shape regularity, local quasi-uniformity, and transition conditions, we derive both a posteriori upper and lower error bounds. The analysis is based on the Helmholtz decomposition, the averaging interpolation operator, and on the use of cut-off functions. Numerical experiments are presented.

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

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Continuities

S - Specificky vyzkum na vysokych skolach<br>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

Applications of Mathematics

ISSN

0862-7940

e-ISSN

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Volume of the periodical

59

Issue of the periodical within the volume

2

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

24

Pages from-to

121-144

UT code for WoS article

000334058000001

EID of the result in the Scopus database

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