Goal-oriented error estimates including algebraic errors in discontinuous Galerkin discretizations of linear boundary value problems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10369396" target="_blank" >RIV/00216208:11320/17:10369396 - isvavai.cz</a>
Result on the web
<a href="http://am.math.cas.cz/am62-6/4.html" target="_blank" >http://am.math.cas.cz/am62-6/4.html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/AM.2017.0177-17" target="_blank" >10.21136/AM.2017.0177-17</a>
Alternative languages
Result language
angličtina
Original language name
Goal-oriented error estimates including algebraic errors in discontinuous Galerkin discretizations of linear boundary value problems
Original language description
We deal with a posteriori error control of discontinuous Galerkin approximations for linear boundary value problems. The computational error is estimated in the framework of the Dual Weighted Residual method (DWR) for goal-oriented error estimation. This requires to solve the primal as well as dual linear algebraic problems arising from the discretization. We focus on the control of the algebraic errors arising from iterative solutions of both algebraic systems. Moreover, we present two different reconstructions techniques allowing an efficient evaluation of the error estimators. Finally, we propose a complex algorithm, which enables estimation of the error with respect to the goal functional and adaptation of the mesh in the close to optimal manner with respect to this quantity. The performance of the algorithm is demonstrated by several numerical examples.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA17-01747S" target="_blank" >GA17-01747S: Theory and numerical analysis of coupled problems in fluid dynamics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applications of Mathematics
ISSN
0862-7940
e-ISSN
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Volume of the periodical
62
Issue of the periodical within the volume
6
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
27
Pages from-to
579-605
UT code for WoS article
000419946700004
EID of the result in the Scopus database
2-s2.0-85039840498